The angle measurements in the diagram are represented by the following expressions.
B
А
Solve for x and then find the measure of

Answer/Step-by-step explanation:

6. Given, (-5, 2) and (1, -2):

[tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_2} [/tex]

[tex] = \frac{-2 - 2}{1 - (-5)} [/tex]

[tex] = \frac{-4}{6} [/tex]

[tex] = \frac{-2}{3} [/tex]

9. Given, (4, 10) and (-2, -5):

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_2} [/tex]

[tex] = \frac{-5 - 10}{-2 - 4} [/tex]

[tex] = \frac{-15}{-6} [/tex]

[tex] slope = \frac{5}{2} [/tex]

Answer:

[tex]f(x) = {x}^{2} - 2x + 17 \\ completing \: squares \\ divide \: the \: sum \: by \: 2 \: and \: the \: result \: to \: the \: {x}^{2} and \: subtract \: it \: from \: the \: product \\ in \: this \: case. \: our \: sum \: is \: 2 \\ f(x) = ({x}^{2} \times \frac{2}{2} ) + (17 - \frac{2}{2} ) \\ f(x) = {(x + 1)}^{2} + (17 - 1) \\ f(x) = {(x + 1)}^{2} + 16[/tex]

Answer:

y = 10/3x + 20

Step-by-step explanation:

First, we need to find the slope of the function. We can do that by using two points and inserting them into the slope formula. It can be any two but I'll just pick (3, 30) and (6, 40).

m = y₁ - y₂ / x₁ - x₂

m = 30 - 40 / 3 - 6

m = -10/-3

m = 10/3

Now we know the slope is 10/3.

In slope-intercept form, the y-intercept is the constant at the end of the equation. The table of values tells us that the y-intercept is located at (0, 20). So the equation of the linear function is y = 10/3x + 20.

Answer:

(3, 1)

Step-by-step explanation:

y = -4x² + 24x - 35

Find the vertex by using the formula:

In this problem, we have:

Using 24 for b and -4 for a, we can substitute these values into the vertex formula:

The h-value for the vertex is 3.

Now let's plug 3 back into the standard form equation to solve for the k-value of the vertex.

The k-value for the vertex is 1.

The vertex of the parabola is (3, 1).

Answer: The range is 94.

Hope this helps

Answer:

Answer:

First, we will substitute x for cm, and then graph the equation to find the solution

Step-by-step explanation:

Therefore, the answer is (7,0)

Answer:

0.44 (44%) of the students are boys.

Step-by-step explanation:

Hope this helps!

✧◝(⁰▿⁰)◜✧

Answer:

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

Step-by-step explanation:

We need to graph the function: [tex]f(x)=-\frac{1}{5}x+4[/tex]

For drawing the graph, we need x and y coordinateness.

The can be found as following:

If we put x =1 in the given function, we will get:

[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=1\\f(x)=-\frac{1}{5}(1)+4\\f(x)=-\frac{1}{5}+4\\f(x)=\frac{-1+4*5}{5}\\f(x)=\frac{-1+20}{5}\\f(x)=\frac{19}{5}\\f(x)=3.8[/tex]

So, we get when x =1 f(x) or y = 3.8

Now for finding second point, we put x =2 in the given function

[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=2\\f(x)=-\frac{1}{5}(2)+4\\f(x)=-\frac{2}{5}+4\\f(x)=\frac{-2+4*5}{5}\\f(x)=\frac{-2+20}{5}\\f(x)=\frac{18}{5}\\f(x)=3.6[/tex]

So,  we get when x =2 f(x) or y = 3.6

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

You find 1 on x-axis and 3.8 on y-axis for first point (1,3.8)

Similarly You find 2 on x-axis and 3.6 on y-axis for second point (2,3.6)

Answer:

60 yellow marbles

Step-by-step explanation:

Answer:

perimeter= 4+4+3

11

Step-by-step explanation:

....

Answer:

9/2

Step-by-step explanation:

9*2/4 = 9*1/2 = 9/2

Answer:

9/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

A, -12

if she had an x amount on her card,

after the buys the songs, she will have x-12 left

Answer:

a. A dilation factor of 2

Step-by-step explanation:

S'R'/SR = 2/1 = 2

Answer:

a

Step-by-step explanation:

Determine what is closer to 2 4/11.

you would- 4/11 to get 2

you would +6/11 to get 3.

So 2 is closer

Do the same with 16 1/5

16 is closer

therefore, it is 2*16=32

Answer: 7/3

Step-by-step explanation:

Divide both by 3

21/ 3 = 7

9 / 3 = 3

You get 7/3. Hope that helps!

Answer:

Pencils=2

Step-by-step explanation:

Pencils-n

-0.70 - 0.70 = -3.5

0.70p + 0.30 = 2.7

-0.4n = -0.8

-0.4      -0.4

n=2

The expression after evaluating results in the number 114.

BODMAS rule is the rule used when solving expressions involving more than one operations.

It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.

The expression given is,

2 + 23 × 5 - 3

We have to evaluate the expression in the order of BODMAS.

There are no brackets and orders and division.

Start with the multiplication.

2 + 23 × 5 - 3 = 2 + 115 - 3

Next do the addition.

2 + 115 - 3 = 117 - 3

                  = 114

Hence the value of the expression given is 114.

To learn more about BODMAS Rule, click :

https://brainly.com/question/16738857

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Answer:

if i understood right..

Step-by-step explanation:

... 2-6+3= 1

4×5= 20

1×20=20

the answer is 20.

I'm sorry if i understood the wrong thing.

Answer:

2 and a half, but it wants it as a mixed fraction which would be 5/2

Step-by-step explanation:

i hope this helped :)

Answer:

5/2.................

Answer:

[tex] \frac{9 \sqrt{3} }{3 \sqrt{3} } = \frac{9}{3} = 3 \\ [/tex]

3 is the right answer.

Answer: 3,285 Liters

Step-by-step explanation:

In the actual case, all your flushes consume 6 L of water.

You flush 4 times per day, then you consume 4 times 6 L per day, this is:

4*6L = 24 L per day.

And in one year there are 365 days, then in one year you consume:

365*24 L = 8,760 L

Now, if you upgrade the toilet, now per day you use:

one time 6 L and 3 times 3 L

Then in day, you use:

1*6 L + 3*3 L = 6L + 9L = 15L

And in the complete year, you will use 365 times that, which is:

365*15 L = 5,475 L

The amount of water that you would save is equal to the difference between the amount that you use in one year with no upgrade (8,760 L) and the amount that you would use in a year if you upgraded your toilet ( 5,475 L)

The difference is:

D = 8,760 L - 5,475 L = 3,285 L

This means that, in this situation, you would save 3,285 liters of water per year if you upgrade your toilet.

Answer: 77/3 or 25.67

Step-by-step explanation:

3 1/2 * 11/3

3 * 2+1=7

7/3 * 11/3

7 * 11= 77

3 stays the same

77/3 or 25.67

Answer:

4 2/3

Step-by-step explanation:

You need to turn the fractions into improper fractions

To do that you multiply the whole number by the denominator and add the numerator, doing that will give you your new numerator, but the denominator stays the same

3 1/2. 3×2 = 6. 6+1=7 3 1/2 = 7/2

1 1/3. 1×3 = 3. 3+1 = 4. 1 1/3 = 4/3

Then multiply both numerator by each other and do the same for the denominators

7×4 = 28

2×3 = 6

28/6

Then simply it

28/6 = 4 2/3