How many lines of symmetry, does this quadrilateral have​

Answer:

[tex]2(3r-2)(r+3)[/tex]

Step-by-step explanation:

Factor [tex]6r^2+14r-12[/tex]

[tex]6r2+14r-12[/tex]

[tex]=2(3r-2)(r+3)[/tex]

Answer:

[tex]2(3r-2)(r+3)[/tex]

Step-by-step explanation:

[tex]6r^2+14r-12[/tex]

Start by factoring out the greatest common factor, [tex]2[/tex]:

[tex]2(3r^2+7r-6)[/tex]

Factor out the trinomial in the parentheses using the "Reverse FOIL" method (Write 2 parentheses and factor out the trinomial into them):

[tex]2(3r-2)(r+3)[/tex]

_

To check:

(Multiply First, Outside, Inner, Last):

[tex]2(3r^2+9r-2r-6)[/tex]

Combine like terms:

[tex]2(3r^2+7r-6)[/tex]

Distribute the [tex]2[/tex]:

[tex]6r^2+14r-12[/tex]

Answer:

1) r >-5       2) x >9

Step-by-step explanation:

Answer:

1.48x10^2  ten to the second

Step-by-step explanation:

Answer:

4 dollars to get 1 yard

Step-by-step explanation:

Answer1/2(8x15)=60ft2

Step-by-step explanation: hope this helps you

The area of the rock garden will be represented by the equation 1/2 x 15 x 8 = 60. The correct option is D.

The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 x b x h, where b and h are the product of the triangle's base and height.

The area of the triangle will be calculated as,

Area = 1/2 x 15 x 8

Area = 15 x 4

Area = 60 square feet

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Answer:

Caleb's net monthly income would be $541.64

Step-by-step explanation:

His monthly take home pay from restaurant is $501.64

Since he earns additional $40 per month for dog walk,

Therefore, his monthly pay would be ;

= $501.64 + $40

Caleb's net monthly income =$541.64

Caleb's monthy regular expenses including car insurance and books is

$355.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

From the given information, The total net earnings of Caleb is,

= $(501.64 + 40).

= $541.64.

Now, The expenses for Car insurance, Gas, and cell phone recharge is,

= $(110 + 65 + 30).

= $205.

Again, For books and personal needs, he have to spend $(300 + 600).

= $900.

Monthly it is,

= 900/6.

= $150.

Therefore, Caleb's regular expenses is,

= $(205 + 150).

= $355.

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Answer:

So I believe you are supposed to find the common denominator between the two so we know that 2 times 2 is 4 and 3 times 3 is nine, and when you multiply 2 and three you get 6. I believe the answer is (6).

Step-by-step explanation: A=6

Answer:

208

Step-by-step explanation:

If you multiply 2.08 by ten to the second power (100) Then you get 208

Scientific notations are the way through which a very small or a very large number can be written in shorthand.  The given expression can be written in the standard form as 208.

Scientific notations are the way through which a very small or a very large number can be written in shorthand.  In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

The given expression can be written in the form of an expression as shown below.

2.08 x 10²

= 2.08 × 100

= 208

Hence, the given expression can be written in the standard form as 208.

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Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = - 6 → (1)

3x + y = 2 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the term in y

- 6x - 2y = - 4 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 10 ( divide both sides by - 5 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

2 + 2y = - 6 ( subtract 2 from both sides )

2y = - 8 ( divide both sides by 2 )

y = - 4

Solution is (2, - 4 )

Answer:35%

Step-by-step explanation:

So I’m not sure this is high school math because i’m still in grade school but...

So what you have to do is make a ratio

so if 70 students out of 200 in college prefer history the ratio should be 70 to 200 or 70:200

Then you want to do 70 * 200 which then you get a answer of .35

then to make .35 into a percent you move the decimal two spaces to the left for a answer of 35%

Hope this helps!

A total of 17.5% of students are college students that prefer history.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Total number of students = 400

Number of college students that prefer history = 70

Percentage is the division of the required number with the whole.

Percentage of students who are college students that prefer history is,

= (70 / 400) × 100

= 17.5%

Hence the percentage of students who are college students that prefer history is 17.5%.

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Answer:

you would need to cross multiply 37/45 = x/100

Step-by-step explanation:

The first part represents the 37 dollars out of the original 45 and the second part represents x= the unknown percent out of 100 percent.

Answer:

6 more teachers are required.

Step-by-step explanation:

Total number of students = 616

No of teachers = 616/28= 22

Increase in students = 18%

                                = 18/100*616= 110.88= 111

Total number of students = 616+111= 727

Decrease in teachers = 9%

                                 = 9/100*22= 1.98= 2

New number of teachers= 20

Now Average is 28 students per teacher so

727/28= 25.96= 26 teachers are required for the total number of 727 students. The school has already 20 teachers so they need 6 more teachers.

Answer:

the third graph

Step-by-step explanation:

2x<6/÷2 we get x<3

3x+2>-4

3x>-4-2

3x>-6/÷3

x>-2

Answer:

Basically how inequalities work is that they restrict equations into certain parts of graphs. So the answer would be C.

Step-by-step explanation:

You can do normal division on inequalities so you can do 2x<6 and then divide both sides by 2 to get the unit value of x. You get x<3

When something is < or >, the inequality graph will be an open circle.

When something is ≥ or ≤, the sign is a closed circle which basically means a filled in circle. Since both inequalities have the > or < sign, you know that both graphs have to have open circles, which basically mean a circle where you can see the center as a different color. It will be a circle like an o.

You now know that it is either A or C, but how to know which one?

You can simplify the inequalities as you know from before that 2x<6 is equal to x<3 so you can graph that on a number line. X is less than three, so the line should run away from three down to 0 and the infinity of negative numbers. C is the only answer that fits it. You may wonder though, "Why in C, does the line stop at -2 with another open circle?" That is because are two inequalities.

The first is x<3

but the other is 2x+2>-4

You can simplify that by subtracting 2 from both sides to get 2x isolated on the left side. You get 2x>-6.

Now you can divide both sides by 2, as we did previously at the beginning. You get x>-3 from dividing.

Finally you can graph that on the number line, but you know that x is greater than -3, so it should be an open circle starting from -3 heading out to the infinite cosmos of positive numbers.

BUT...

The two inequalities are separated by "and," meaning that they are related  by the fact that they are directly connected. There are two possible words that separate inequalities, "and," and, "or."

In "or" statements, the two inequalities are not related, so the two inequalities would keep on going forever without regard to the other.

In "and" statements, the two inequalities are related, so the two inequalities would depend on each other to end off each other.

SO

Because they are connected with the word And,

They would end off at each other, so the original inequalities would depend on each other to continue, or to end off.

That is why the two inequalities would be a line from anything greater than -2 all the way to all the numbers below 3. The numbers could be anything from -1.999999999999999... forever, as long as they do not equal or go less than -2. The numbers could be anything from 2.99999999... forever, as long as they do not equal or go over 3.

Hope this helps!

Answer:

x does equal -2

Step-by-step explanation:

Substitue x = -2:

[5(-2) -2 = -12]

Simplify:

[-10-2 = -12]

Add/Subtract from left to right:

[-12 = -12]

Therefore:

x = -2

Answer:

Its definitely B 84.5

I took the test

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

The median score is the score that appears in the middle of the graph and the set of numbers. 87 is the median score.

Answer:

The value  is [tex]P_o = \$ 561958.9 [/tex]

Step-by-step explanation:

From the question we are told that

  The capacity of the metal  tank is  [tex]C =  2000 \  gallon[/tex]

   The duration usage is  [tex]t = 15\ years \ ago[/tex]

   The cost of 2000-gallon tank 15 years ago is [tex]P =  \$100,000[/tex]

    The capacity of the second tank considered is [tex]C_1 = 5,000[/tex]  

    The power sizing exponent is [tex]e = 0.57[/tex]

     The initial construction cost index is  [tex]u_1 = 180[/tex]

      The new construction after 15 years cost index is  [tex]u_2 =600[/tex]

Equation for the power sizing exponent is mathematically represented as

      [tex]\frac{P_n}{P} = [\frac{C_1}{C} ]^{e}[/tex]

=> Here [tex]P_n[/tex] is the cost of 5,000-gallon tank as at 15 years ago  

So

     [tex]P_n  =  [\frac{5000}{2000} ] ^{0.57} * 100000[/tex]

      [tex]P_n  =  \$168587.7[/tex]

Equation for the cost index exponent is mathematically represented as

      [tex]\frac{P_o}{P_n}  =  \frac{u_2}{u_1}[/tex]

Here[tex]P_o[/tex] is the cost of 5,000-gallon tank today

So

       [tex]\frac{P_o}{168587.7}  =  \frac{600}{180}[/tex]

=>    [tex]P_o = \frac{600}{180} * 168587.7[/tex]

=>      [tex]P_o = \$ 561958.9 [/tex]

Answer:

D

Step-by-step explanation:

:) hard to explain, and takes a LOT of typing I don't really wanna do

Answer:

FG = 18

Step-by-step explanation:

FG + GH =  FH

FG + 31 = 49

Subtract 31 from each side

FG +31-31 = 49-31

FG = 18

Answer: FG is 18

Step-by-step explanation: FG + GH is FH, GH is 31 and then you substitute 31 in for GH which makes the equation FG+31=49 49-31 is 18 which means FG is 18

m1=51

m2=18

m3=123

m4=39

***remember the 180 rule, and supplementary/complementary angles!

180 rule: all triangle's internal angles add up to 180, this means if you know any two angles you can always find the last one

supplementary angles:

angles that add up to 180, 180 is a straight line so they can be found on almost all triangle problems.

if there is a straight line and you know one of the angles that is on the line, you can find the other one by subtracting it from 180

complementary angles:

same thing ^ but with 90

i hope my explanations make sense! let me know if you have any more questions :)

Answer:

9/28

Step-by-step explanation:

just divide by 2

Answer: 9/28

Steps: 18/56

Factor the number:  8 = 2 · 9

Factor the number:  56 = 2 · 28

Cancel the common factor: 2

9/28

Plz mark brainliest:)

Answer:

P=0.025x+100

Step-by-step explanation:

The y-intercept of the function is 100 which represents the base pay Sydney makes regardless of computer sales.

that's the correct answer^^^

y = 1/40x + 100 is  an equation that represents P as a function of X

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given, Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day.

Let the equation of line y = kx + b

Where b is 100

Since the given line passes through (0, 100) and (4000,200)

since For a line k = (y₂ - y₁)/(x₂ - x₁)

Thus, k = (200 -100)/(4000-0)

k = 1/40

Thus,

y = 1/40x + 100

Therefore, an equation that represents P as a function of X is y = 1/40x + 100.

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Complete question:

Answer:

c I am 100% sure

Step-by-step explanation:

Answer:C.

−y2−5xz+z2−x2

Step-by-step explanation:

Took the test got it right

The solution is Option C = ( -y² - 5xz + z² - x² )

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Given data ,

Expression 1 = y² - 4xz + z²

Expression 2 = x² + xz + 2y²

Let Expression 1 - Expression 2 = A

To find Expression 1 - Expression 2 = A

A = y² - 4xz + z² - ( x² + xz + 2y² )

By grouping the like terms , we get

A = ( y² - 2y² ) - ( 4xz + xz ) + z² - x²

Therefore,

A= - y² - 5xz + z² - x²

Hence , the solution is ( -y² - 5xz + z² - x² )

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Answer:

Step-by-step explanation:

Probabilities are basically values determining how likely something is to happen. These values are usually represented in fractions or percentages which are the two main strategies as well for comparing probabilities. For comparing probabilities through fractions we would try to make sure the denominators are equal and then compare the numerators. The higher numerator is the probability with the highest chance of something happening. For example...

[tex]\frac{3}{4} > \frac{1}{4}[/tex]  ... 3/4 is a much higher probability than 1/4

The second strategy would be using percentages in the same way. The higher percentage is the one with the highest probability while the lower percentage is the one with the lower probability.

96%  >   54%

Answer:

22.22222222

Step-by-step explanation:

Answer:

the race is 22 miles long.

Step-by-step explanation:

p         %

~~  =  ~~

w        100

Step-by-step explanation:

let x be the original.price

so x * 75/100= 14625

x=19500

so the price of car before it was reduced was 19500

The price of the car before it was reduced is £19500.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that the price of the car with 25% price reduced is  £14625.

Now to find the price of the car before it was reduced,

for that we will find the price of car to 100 - 25 = 75 percentage.

Let P be the price of the car before it was reduced.

P × 75 / 100 = 14625

P = 14625 × 100 / 75

P = £19500

Therefore, the price of the car before it was reduced is £19500.

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Answer:

15.0175439

Step-by-step explanation:

856/57 = 15.017

Please tell me if it is correct! :)