Solve for w in the proportion.

Answer:

13

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

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Work Shown:

The two given points are [tex](x_1,y_1) = (4,3)[/tex] and [tex](x_2,y_2) = (16,8)[/tex]

Use the distance formula

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(4-16)^2+(3-8)^2}\\\\d = \sqrt{(-12)^2+(-5)^2}\\\\d = \sqrt{144+25}\\\\d = \sqrt{169}\\\\d = 13\\\\[/tex]

Answer:

The equations of the line are

y + 7 = [tex]\frac{9}{7}[/tex] (x + 4) ⇒ B

y - 2 = [tex]\frac{9}{7}[/tex] (x - 3) ⇒ E

Step-by-step explanation:

The point-slope form of the linear equation is

[tex]y-y1=m(x-x1)[/tex] , where

∵ The line passes through points (-4, -7) and (3, 2)

∴ x1 = -4 and y1 = -7

∴ x2 = 3 and y2 = 2

→ Use the rule of the slope above to find it

∵ [tex]m=\frac{2--7}{3--4}=\frac{2+7}{3+4}=\frac{9}{7}[/tex]

∴ The slope of the line is [tex]\frac{9}{7}[/tex]

→ Substitute the values of m and (x1, y1) in the form of the equation above

∵ y - -7 = [tex]\frac{9}{7}[/tex] (x - -4)

∴ y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)

∴ The equation of the line is y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)

→ Substitute the values of m and (x2, y2) in the form of the equation above

∵ y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)

∴ The equation of the line is y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)

→  Look at the answers to find the same equations

∴ Answers B and E have the same equations

Answer:

Did you insert a picture because I cant see one

Answer:

1. 68

2. Net gain of 6 yards

3. 7684 ft

Step-by-step explanation:

1.

Walmart’s stock price started at $70. It went up by $2, then went down $4

Final stock = [tex]70+2-4=68[/tex]

2.

A football team gains 5 yards, then loses 2 yards, then gain another 6 yards, then loses 3 yards

Here,

[tex]5-2+6-3=6[/tex]

So, net gain of 6 yards

3.

Difference in elevation of Mt. Blum at 7,677 feet above sea level and New Orleans at −7 ft  below sea level = [tex]7677-(-7)=7677+7=7684\,\,ft[/tex]

Answer:

y=[tex]\frac{1}{3}[/tex]x+8

Answer:

To write the congruence statement, you need to line up the corresponding parts in the triangles: \begin{align*}\angle R \cong \angle F, \angle S \cong \angle E,\end{align*} and \begin{align*}\angle T \cong \angle D\end{align*}. Therefore, the triangles are \begin{align*}\triangle RST \cong \triangle FED\end{align*}.

Step-by-step explanation:

Answer:

$0.39

Step-by-step explanation:

3.90/10= 0.39 per pound for 10 pound watermelons

Answer:

Step-by-step explanations:

Answer:

$3.77

Step-by-step explanation:

First, add all of the numbers together:

$3.00+$3.45+$4.15+$4.60+$4.65+$2.80=22.65

Next, divide that number by the number of numbers:

22.65/6=3.77

<3

Answer:

A 1

Step-by-step explanation:

8x11=88

1x11=11

Answer:

Step-by-step explanation:

Given the equation 2x-4y = 8 models the relationship between x and y

The rate of change of y with respect to x is known as the slope of the line.

The standard form of equation of a line is y = mx+c where;

m is the slope

c is the intercept

Rewrite the equation in its standard form as shown:

2x-4y = 8

-4y = -2x+8

-4y/-4 = -2x/-4 + 8/-4

y = 1/2 x -2

On comparison, the slope m is 1/2

Hence the rate of change of y with respect to x is 1/2

Answer:

B

Step-by-step explanation:

Answer:

the answer would be f. x > 2

Answer:

3/5

Step-by-step explanation:

Answer:

3$

Step-by-step explanation:

Answer:

x+2

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Use order of operations to solve this.

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction.

First, do 20 x 4.

[tex]80 - 100 / 20[/tex]

Then, divide 100/20.

[tex]80 - 5[/tex]

= 75

Answer:

You may be thinking about 64

Step-by-step explanation:

64 = 8*8 = (2*2*2) * (2*2*2)

64 = 4*4*4 = (2*2) * (2*2) * (2*2)

Answer:

3.1536×10^6

I hope this helps!

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Range which must be hauled by trucks :

150,000 - 180,000 yds of earth

Haul per day = 10000 yds

Already removed = 120,500

We can express the problem as an inequality:

Using y = number of days

150,000 ≤ (10000y + 120,500) ≤ 180000

150,000 ≤ (10000y + 120,500)

150000 - 120500 ≤ 10000y

29500/10000

y = 2.95 days

10000y + 120,500 ≤ 160000

10000y ≤ 160000 - 120500

y = 39500/10000

y = 3.95

2.95 ≤ y ≤ 3.95

Answer:

p = 1/8

Step-by-step explanation:

Hi there !

⁸⁾-3p + 1/8 = ²⁾- 1/4

- 24p + 1 = - 2

- 24p = - 2 - 1

- 24p = - 3 | (-)

24p = 3

p = 3⁽³/24

p = 1/8

Good luck !

Answer:

yes this is a function because you cannot touch more than one point at any location on the line

Step-by-step explanation:

Answer:

Step-by-step explanation:

yes it is a function because it goes in a straight line and goes through x and y

Answer:

8 sand bags can be carried along.

Step-by-step explanation:

First you want to subtract 300-140. That subtracts the pilots weight giving you the maximum weight capacity left. (160) Then you want to divide 160 (the weight that can be carried) by 20 (the weight of the sand bags) after doing that you will get 8. And that is how i got 8 sand bags as my answer.

Answer:

0, 5, 8

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

6x + 10 = 100

6 times 15 = 90

Add 90 + 10 = 100

Answer:

the answer is d

6x + 10 = 100

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

For a relation to be a function, it must fit the following criteria:

So, let’s go through each of the choices.

Choice A)

In this relation, -7 repeats. It simultaneously equals -1 and -8. So, this is not a function since it’s repeating and it doesn’t equal to same.

Choice B)

In this relation, none of the inputs are repeating. Therefore, B is the corrrect answer.

Choice C)

In this relation, -2 repeats four times. And each time, it equals something different. Therefore, C is not a function.

Choice D)

Here, 1 repeats twice, equalling both -7 and 8. Since it appeared more than once and is not equal to the same thing, D is not a function.

Therefore, our answer is B.

Edit: Typo

Answer:

x (distance) = 10, max height = .75

Step-by-step explanation:

y=-.03x(x-10)

The distance are the x intercepts: 0 and 10, where 0 is time started and 10 is time ended.

Expand the equation:

y=-.03x^2 +.3x

To find max height you find the vertex

x = -b/2a

x = -.3/-.06 = 5

Plug the x into the equation

y=.-03(5)^2 +.3(5)

y=.75

Answer:

24 million

Step-by-step explanation:

thank me later