PLEASE HELP ASAP!!!
ABCD is an isosceles trapezoid with legs ▁AB and ▁CD, and base ▁BC.
If the length of ▁AB = -3y+54, the length of ▁BC = 5y+ 2, and the length of ▁CD is 6y + 9, find the value of y.

Answers

Answer 1

The value of 'y' in the isosceles trapezoid ABCD is 14 and this can be determined by using the properties of isosceles trapezoid.

What is Triangle ?

Triangle can be defined as which contains three sides, three angles and the sum of the angles is 180 degrees.

Given ,

ABCD is an isosceles trapezoid with legs AB and CD and base BC.

If the length of AB is (7y - 4),

the length of BC s (4y - 6),

and the length of CD is (8y - 18).

The two legs are of equal length In any isosceles trapezoid that means:

7y - 4 = 8y - 18

Add 18 on both sides in the above equation.

7y - 4 + 18 = 8y - 18 + 18

7y + 14 = 8y

Now, subtract 7y on both sides in the above equation.

7y + 14 - 7y = 8y - 7y

Simplify the above expression in order to get the value of 'y'.

y = 14

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Related Questions

A news website is interested in knowing which other sites its users visit for their technology news, so it sends an email survey to 10,000 of its registered users selected at random. For what type of bias are the survey results at risk

Answers

10,000 randomly chosen registered users receive an email survey from the company. The survey findings are most susceptible to nonresponse bias.

What type of bias are the survey results at risk for?

A news website sends an email survey to 10,000 randomly chosen registered users in order to learn which other websites its readers visit for their technology news. The most common sort of bias that the survey results are vulnerable to is nonresponse bias. Because convenience sampling, which many researchers engage in, frequently leads to undercoverage bias in survey research, it is a widespread problem.

Coverage bias, like many other potential problems in survey research and data gathering in general, can significantly change your survey results and compromise the integrity of your research. This phrase describes the several circumstances and biases that may affect survey results. Regardless of whether the bias was deliberate or unintentional, erroneous survey results make the information less helpful.

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Division of mixed numberrss

Answers

Answer:

1. 99/104

2. 4/3

3. 6/5

4. 52/25

5. 57/58

6. 33/100

7. 1/2

8. 8/5

9. 4

10. 4/3

hope this helps any

Erin combined 1 17/18 pounds of peanuts with 1 5/6 pounds of M&M's to create trail mix, then evenly distributed the mix in 8 bags. how many pounds of trail mix are in each bag?

Answers

There are  17/36 pounds of trail mix in each bag.

Finding out  how much pounds of trail mix are in each bagTo find out how many pounds of trail mix are in each bag,

you need to first add the weight of the peanuts and M&M's together.

1[tex]\frac{17}{18}[/tex] + 1 [tex]\frac{5}{6}[/tex] =([tex]\frac{35}{18}[/tex]) +([tex]\frac{11}{6}[/tex]) =  [tex]\frac{35+33}{18}[/tex]    =[tex]\frac{68}{18}[/tex]

which can be simplified to 3 [tex]\frac{14}{18}[/tex]

So there are 3 [tex]\frac{14}{18}[/tex]pounds of trail mix altogether.

To find out how many pounds of trail mix are in each bag, you will divide the total weight of the trail mix by the number of bags.

3 [tex]\frac{14}{18}[/tex]÷ [tex]\frac{8}{1}[/tex] =

[tex]\frac{68}{18}[/tex]  ÷  [tex]\frac{8}{1}[/tex]=[tex]\frac{68}{144}[/tex]

which can be simplified to [tex]\frac{17}{36}[/tex]

So there are [tex]\frac{17}{36}[/tex]pounds of trail mix in each bag.

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What is the coefficient of x9 y3 in 2x − y 12?

Answers

The coefficients in the expression [tex]12x^{3} (2x^{3}) + y^{3}[/tex] are , coefficient of of x⁹ is 24 and coefficient of of y³  is 1   .

The Coefficients are defined as a multiplicative factor in some term of a polynomial , series or an expression , the coefficient is usually a number .

the expression is given as [tex]12x^{3} (2x^{3}) + y^{3}[/tex] ;

to find the coefficients we first simplify the expression ,

we get ;

= [tex]12x^{3} \times2x^{3} + y^{3}[/tex]

= [tex]24x^{9} +y^{3}[/tex] ;

so , the numerical term with x⁹  is 24 and the numerical term with y³ is 1 .

Therefore , the coefficient of x⁹ is 24 and the coefficient of  y³ is 1 .

The given question is incomplete , the complete question is

What is the coefficient of x⁹ and y³ in the expression [tex]12x^{3} (2x^{3}) + y^{3}[/tex] ?

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50 POINTS!!!! urgent!!!!!!

Mary is collecting cup cakes for the school fair. She will make 12 cupcakes to start it off. She plans to collect 24 cupcakes each
day from her surrounding neighborhood for the next 3 days. If you model this word problem for Mary as y=mx+b then match the
corrects pairs.
a. 12
b. 84
c. 3
d. 24
1. m
2. y
3. x
4. b

Answers

Since the problem is about linear equation in the form of y = mx + b, initial number represents the value of b = 12, the number of days represents the value of x = 3, the daily collection of cupcakes represent the slope m = 24, then the value of y is:

y = 24*3 + 12 = 72 + 12 = 84

So the matching pairs are:

a ⇔ 4, b ⇔ 2,c ⇔ 3,d ⇔ 1 .

Select all the equation that depicts one of the properties of exponents

Answers

Answer:

1st, 4th and 5th are correct.

Step-by-step explanation:

the researcher administers a survery to 15 students who are seated at the front of the laboratory. how could this study be improved

Answers

Pick a random selection of students who attend the work lab.

What is meant by random selection?

Picking a random sample of students is the most effective strategy to ensure accurate results. The findings of a survey that the student conducts among those sat in the lab's front rows might be skewed.

The students seated in front of the lab could exhibit a certain trait (e.g., they might be particularly diligent students), which would undoubtedly yield a different outcome.  The survey is in good shape. No special equipment is required to evaluate our comprehension of statistical analysis.

Additionally, there won't be much of a difference if more students are included in the sample that are sat in front of the lab. Finally, it makes no sense to administer instruments to a group that does not visit the work laboratory. Effectiveness cannot be evaluated based on students who do not participate in class.

Therefore the correct option is B)  Select a random sample of students who go to the work laboratory

The complete question is:

A student researcher wishes to examine the effectiveness of a statistical work laboratory on graduate students' overall understanding of application of statistical analyses. The researcher administers a survey to 15 students who are seated at the front of the laboratory. How could this study be improved? Select all that apply.

A. Use an instrument to test statistical analysis understanding.

B. Select a random sample of students who go to the work laboratory

C. Use a larger sample size.

D. Administer instruments to a group who does not go to the work laboratory, as well.

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Fractions

Malik and his friends ate 1.

1
--
4

pepperoni pizzas, 2 cheese pizzas, and

2
--
3

of a vegetarian pizza.

a) How many pizzas did they eat?

b) How many more cheese pizzas than

vegetarian pizzas did they eat?

Answers

a) The total amount of pizzas that they ate is given as follows: 2.92 pizzas.

b) The difference between the number of cheese pizzas and the number of vegetarian pizzas is given as follows: 4/3, which is the amount that they ate more of cheese pizzas than vegetarian pizzas.

How to obtain the amounts?

The fractions relative to the amount of each type of pizza eaten are given as follows:

Pepperoni pizza: 1/4.Cheese pizza: 2.Vegetarian pizza: 2/3.

The total amount of pizzas eaten is given by the addition of these fractions, hence:

1/4 + 2 + 2/3 = 3/12 + 24/12 + 8/12

(as the least common factor between 4, 1 and 3 is of 12).

3/12 + 24/12 + 8/12 = (3 + 24 + 8)/12

(3 + 24 + 8)/12 = 35/12

2.92 pizzas.

The difference between the number of cheese pizzas and the number of vegetarian pizzas is obtained as follows:

2 - 2/3 = 6/3 - 2/3 = 4/3.

(as the least common factor of 1 and 3 is of 3).

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5 mop and 7 broom cot a total of $855. 0. A mop cot $15. 00 more than a broom. Find the cot of:


a) 1 mop



b) 1 broom


pleae how working

Answers

the cost of a broom is $62.50, and the cost of a mop is x + 15 = 62.5 + 15 = $77.50.

Therefore,

a) 1 mop cost $77.50

b) 1 broom cost $62.50

What is the system of equations?

A system of equations is a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations are satisfied in other words, the locations at which all of these equations intersect.

To find the cost of a mop and a broom, we can set up a system of equations using the information given:

Let x be the cost of a broom

Let y be the cost of a mop (which is $15 more than a broom)

From the problem, we know that:

y = x + 15 (since a mop costs $15 more than a broom)

5x + 7y = 855 (since 5 mops and 7 brooms cost a total of $855)

We can substitute the first equation into the second equation:

5x + 7(x + 15) = 855

5x + 7x + 105 = 855

12x = 750

x = 62.5

Hence, the cost of a broom is $62.50, and the cost of a mop is x + 15 = 62.5 + 15 = $77.50.

Therefore,

a) 1 mop cost $77.50

b) 1 broom cost $62.50

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Please help me lol

8=t/-3+4

Answers

Answer:t=-12

and if want step by step just look the equation up on the internet and it will be there step by step

     

can someone help me find two true statements!

Answers

1. In a triangle line parallel to one side will divides other two sides in the same ratio

2. 8/x = 12/18

   x = 12

How do you find a linear equation from two points?

Finding the slope between two points on a line and solving for the y-intercept in the slope-intercept equation y=mx+b allows us to formulate an equation for that line.

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b).

Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

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Please help me I’m doing a test really fast.

Answers

Answer: (0, 18)

Remember, it is (x, y)

Have a good day ^^

How do you calculate F G and G of f?

Answers

You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).

What is function ?

A function is a kind of rule that, for one input, it gives you one output. Image source: by Alex Federspiel. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.

Have given ,

Two functions , f(x) and g(x)

The composition of two functions g and f is the new function we get by performing f first, and then performing g. For example, if we let f be the function given by f(x) = x2 and let g be the function given by g(x) = x + 3, then the composition of g with f is called gf and is worked out as gf(x) = g(f(x)) .

So , You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).

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F the altitude of a triangle meet at one of the triangles vertices then the triangle is

Answers

When the given altitude of the triangle meet at one of the vertices of the given triangle then it represents the option 1. right angled triangle.

As given in the question,

Given is the altitude of the triangle.

Given Condition is :

Altitude of the triangle meet at one of the vertices of the triangle.

⇒ This means altitude is representing the height of the triangle.

Height is always represented by perpendicular line.

⇒One of the side having altitude forms a angle of measure 90°.

⇒Given triangle is right angled triangle.

Therefore, when the altitude of the triangle meet at one of the vertices of the given triangles it represents the option 1. right angle triangle.

The above question is incomplete, the complete question is :

If the altitudes of a triangle meet at one of the triangle’s vertices, then the triangle is

1) a right triangle

2) an acute triangle

3) an obtuse triangle

4) an equilateral triangle

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Lenny paid $13 for 4 1/3 pounds of apples.
How many pounds of apples can he buy
for $29?

Answers

Answer: 9 2/3

Step-by-step explanation:

you take 29 and divide by 13 to get 2.23076923077 and you then take that times the 4 1/3 to get 9 2/3

Answer:

Step-by-step explanation:

13(X-4 1/3)=29

13X-56.3=29

     +56.3 = +56.3

13X=85.3

X=6.56

Look down below for the question

Answers

Answer:

1.centre

2.chord

3.chord

4.radius

5.diameter

BRAINLY ME PLEASE IF HELPFUL!!!

.25x + 0.05y = 9, x + y = 25

Answers

Answer:

x = -4

y = 29

Step-by-step explanation:

Let's take our two equations and turn the decimals into fractions for simplicity's sake. We get:

x/4 + 5y/100 = 9    x + y = 25

Simplifying a bit gives us:

x/4 + y/20 = 9       x + y = 25

Now, we will take the first equation and multiply it by 20 to get rid of the fractions. We get:

5x + y = 9

We will rearrange numbers to give us an answer to y that we can substitute in. we get:

y = 9 - 5x

Then, we will plug this into our second equation giving us:

x + 9 - 5x = 25

Combining like terms and subtracting 9 from both sides gives us:

-4x = 16

Dividing by -4 gives us:

x = -4

Then, we can substitute this into our second equation giving us:

-4 + y = 25

We will add 4 to both sides giving us:

y = 29

Hope this helped!

Which expression is the factored form of 2x^2 7x 3?

Answers

The factored form of quadratic equation 2x² + 7x + 3 is 2(x + 1/2) (x + 3)

A quadratic equation can be expressed in:

- Standard form: y = ax² + bx + c

- factored form: y = a(x - x₁) (x - x₂)

Here, x₁ and x₂ are the roots of the given function.

Suppose we are given a quadratic equation:

y = ax² + bx + c

To find the factored form, use the following properties:

x₁ . x₂ = c/a

x₁ + x₂ = - b/a

In this case, the quadratic function is:

y = 2x² + 7x + 3

We have to find x₁ and x₂ such that:

x₁ . x₂ = 3/2

x₁ + x₂ = - 7/2

Hence,

x₁ = - 1/2

x₂ = - 3

Therefore the factored form is:

y = 2(x + 1/2) (x + 3)

Your question is incomplete, but most probably your question was:

Which expression is the factored form of 2x² + 7x + 3?

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Line q passes through points (6,8 )and( 3,4). Line r is perpendicular to q . What is the slope of line r

Answers

Answer:

The slope of line r is -3/4

Step-by-step explanation:

First, let's find the slope of line q. We can find the slope by finding the change in y over change in x.

[tex]\displaystyle{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Therefore, substitute in:

[tex]\displaystyle{m=\dfrac{8-4}{6-3}}\\\\\displaystyle{m=\dfrac{4}{3}}[/tex]

Therefore, the slope of line q is 4/3. Since we want to find the slope of line r and we know by the given that line r is perpendicular to line q. By the definition of perpendicular line is [tex]\displaystyle{m_1m_2=-1}[/tex].

Let [tex]m_1[/tex] be slope of the line q which is 4/3. Therefore, substitute in and solve for [tex]m_2[/tex] (slope of line r)

[tex]\displaystyle{\dfrac{4}{3}m_2=-1}\\\\\displaystyle{4m_2=-3}\\\\\displaystyle{m_2=-\dfrac{3}{4}}[/tex]

Therefore, the slope of line r is -3/4

Rafael and his sister bought snacks at a discount store for movie night. Rafael got 3 boxed candies and 1 bag of chips for $3. 82. His sister got 2 bags of chips and 1 boxed candy for $2. 69. Find the cents for each item find the cost of each item

Answers

The cost of each box of candy is 31 cents and the cost of each bag of chips is 69 cents.

To find the cost of each box of candy, we first need to find the total cost for all items. We know that Rafael and his sister spent a total of $3.82 + $2.69 = $6.51 on snacks. Since Rafael bought 3 boxes of candy and 1 bag of chips, and his sister bought 2 bags of chips and 1 box of candy, there were a total of 3 + 2 = 5 bags of chips and 3 + 1 = 4 boxes of candy bought.

To find the cost of each box of candy, we divide the total cost for all boxes of candy by the number of boxes of candy: $6.51 / 4 = $1.63 or 163 cents. To find the cost of each bag of chips, we divide the total cost for all bags of chips by the number of bags of chips: $6.51 / 5 = $1.30 or 130 cents.

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Can you help me with this

Answers

The graph of a line with a slope of 3/5 has an equation of y = 3/5x + 1 and the graph is attached

How to plot the graph

From the question, we have the following parameters that can be used in our computation:

Graph of a line with a slope of 3/5

This means that

Slope = 3/5

And it also means that the equation is a linear equation

A linear equation is represented as

y = mx + c

Where

m = slope

i.e. m = 3/5

So, we have

y = 3/5x + c

Assume that c = 1

So, we have

y = 3/5x + 1

Hence, the equation is y = 3/5x + 1

See attachment for graph

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A rescue boat just picked up some sailors in a lifeboat. Now the rescue boat is heading north at 14 miles per hour. The lifeboat, which they abandoned, is drifting south at a speed of 3 miles per hour. How long will it be before the rescued sailors are 57 miles from their lifeboat?

Answers

The time it will take for the rescued sailors to be 57 miles from their life boat is given as follows:

3.35 hours.

What is relative velocity?

Relative velocity is obtained considering the direction in which the objects are traveling, as follows:

Opposite direction: the relative velocity is given by the sum of the velocities of each object.Same direction: the relative velocity is given by the subtraction of the velocities of each object.

For this problem, the sailors and the lifeboat are traveling in opposite directions, hence the relative velocity, considering each of their velocities is given as follows:

v = 14 + 3 = 17 miles.

(meaning that they get 17 miles farther each hour).

Velocity is distance divided by time, hence the time it will take for them to be 57 miles apart is given as follows:

17 = 57/t

17t = 57

t = 57/17

t = 3.35 hours.

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Evaluate the expression (-243)1/5

Answers

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ (-243)^{\frac{1}{5}}\implies \sqrt[5]{(-243)^1}\implies \sqrt[5]{(-3)(-3)(-3)(-3)(-3)} \\\\\\ \sqrt[5]{(-3)^5}\implies -3[/tex]

easy calculation : the expression evaluates to -243/5, or -48 3/5, and -48.6.

You and your friend go to a taco truck for lunch. You order 3 soft tacos and 3 burritos and spend $11. 25. Your friend orders 4 soft tacos and 2 burritos and spends $10. 0

Answers

Therefore ,As a result, the answer to the provided equation is that a burrito costs $2.50 and a soft taco costs $1.50.

Define equation .

A number, a variable, or a mix of both plus certain operation symbols make up an expression. An equal sign separates two expressions that make up an equation. Word illustration The product of 8 and 3 is 11.

Here,

Let the price of a soft taco be set at s.

Let b be the price for one burrito.

Therefore, we have this system.

3s + 3b = 11.25

4s + 2b = 10.00 (1) (1)

By multiplying the first equation by 3, we get that.

If s + b = 3.75, take b off of both sides.

s = 3.75 - b (2) (2)

Subtract (2) from (1) and you get

Simplify 4 (3.75 - b) + 2 b = 10.00.

15 - 4b + 2b = 10.00

Subtract 15 from both sides (-2b + 15 = 10) to get the total.

Divide both sides by -2 to get -2b = - 5.00.

b = 2.50

as well as (2)

s = 3.75 - 2.50 = 1.50

As a result, the answer to the provided equation is that a burrito costs $2.50 and a soft taco costs $1.50.

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hree hundred books sell for 40 dollars each, resulting in a revenue of 12,000 dollars. For each $5 increase in the price, 25 fewer books are sold. Write the revenue R as a function of the number x of $ 5 increases.

Answers

A total of 12,000 dollars is made from the sale of 300 books at a price of $40 each. 25 fewer books are sold for every $5 increase in price.      R(x)=(40+5x)(300−25x) R ( x ) = ( 40 + 5 x ) ( 300 − 25 x )

What is the revenue R as a function of number x ?

Assumed in this instance is , At a price of 40 dollars apiece, [tex]$(300)(40 \$)=12,000 \$$[/tex] books generate $300 in revenue. The result is that 25 fewer books are sold if we raise the price of each book by $5. That's [tex]$(300-25 x)$[/tex]. Due to the fact that the price always rises by five times more than the number of books, the cost is [tex]$(40+5 x)$[/tex].

[tex]$R=(300-25 x) \cdot(40+5 x)$[/tex]

[tex]$R=12000+6000 x-1000 x-125 x^2$\\$R=-125 x^2+5000 x+12000$\\$R=125 x^2-5000 x-12000$[/tex]

The revenue R is expressed as a function of the number x as it approaches 5. R(x)=(40+5x)(30025x) is the necessary revenue function. R(x) = (40 + 5 x)(300 25 x) is the necessary revenue function.

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Number 9 is very confusing for me

Answers

2
Answer x= -
7
Hope this helped pls give Brainlyist

Answer:

The value of x is 2/7 or 0.285

Step-by-step explanation:

Here, we will make equivalent expressions in the equation that all have equal bases.

6²⁽⁶ˣ⁻¹⁾ = 6⁵ˣ

Since, The bases are the same i.e., 6. So, exponent are also same

2(6x - 1) = 5x

Solve for x

12x - 2 = 5x

12x - 5x - 2 + 2 = 5x - 5x + 2

7x = 2

7x/7 = 2/7

x = 2/7 = 0.285

Thus, The value of x is 2/7 or 0.285

For verification

36⁶ˣ⁻¹ = 6⁵ˣ

36⁶⁽⁰°²⁸⁵⁾ ⁻ ¹ = 6⁵⁽⁰°²⁸⁵⁾

36¹°⁷¹ ⁻ ¹ = 6¹°⁴²⁵

36⁰°⁷¹ = 6¹°⁴²⁵

12.7 = 12.7

Hence, L.H.S = R.H.S

VERIFIED!!

How many 8-character passwords consisting of uppercase letters, lowercase letters and digits are there that start and end with the same symbol

Answers

Can be cracked within eight hours by the average hacker.

How many 8-character passwords may use both uppercase and lowercase letters?

With spaces included in the character count, 8 characters equals between 1 and 2 words. If spaces are excluded from the character count, 8 characters equals between 1 and 3 words.

There are 8-character passwords with capital letters, lowercase letters, and numerals that begin and end with the same symbol.A password of eight characters with just lowercase and capital letters offers 200 billion potential permutations.“1uppercase” is an example of an 8-character password. This password has one uppercase, one lowercase, one number, and one special character.

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Write the standard equation of the circle.
Geometry b

Answers

The standard equation of the circle will be;

⇒ (x - 3)² + (y + 5)² = 16

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circle is shown in figure.

Now,

Here, By the figure;

The radius of the circle = 7 - 3

                                    = 4 units

And, The center of circle = (3, - 5)

We know that;

The standard equation of the circle is,

⇒ (x - h)² + (y - k)² = r²

Where, (h, k) = center and r is radius.

So, We get;

The standard equation of the circle is,

⇒ (x - 3)² + (y - (-5))² = 4²

⇒ (x - 3)² + (y + 5)² = 16

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Which statement is correct?

Answers

Answer:

B. ST and TK intersect at a 90 degree angle.

I know this because you can see that in between STK, there is a square in the corner indicating a 90 degree angle.

Step-by-step explanation:

Hope it helps! =D

The answer here is B ST & TK intersecting at 90°

Find values of a and b that make the following equality into identity:
(2x+5)/(x-8)(2x+1)=a/(x-8) + b/(2x+1)
Giving 30+ points!

Answers

The values of a and b in the fraction are 21/17 and -8/17

How to determine the values of a and b

From the question, we have the following parameters that can be used in our computation:

(2x+5)/(x-8)(2x+1)=a/(x-8) + b/(2x+1)

Take the LCM

So, the expression can be expressed as

(2x+5)/(x-8)(2x+1)=a(2x+1) + b(x-8)/(x-8)(2x+1)

Multiply both sides by (x-8)(2x+1)

(2x+5) = a(2x+1) + b(x-8)

Open the brackets

2x + 5 = 2ax + a + bx - 8b

By comparison, we have

2a + b = 2

a - 8b = 5

Make a, the subject in a - 8b = 5

a = 5 + 8b

Substitute a = 5 + 8b in 2a + b = 2

10 + 16b + b = 2

Evaluate the like terms

17b = -8

Divide by 17

b = -8/17

Substitute b = -8/17 in a = 5 + 8b

a = 5 + 8 * -8/17

Evaluate

a = 5 - 64/17

So, we have

a = 21/17

Hence, the values are 21/17 and -8/17

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