Are the two statements equivalent? Explain your reasoning.

Please please give answer for this question

Delvig [45]

ANSWER: 25

EXPLANATION: First find the area of one single square by multiplying b(BASE) * h(HEIGHT). Repeat for other figure. Finally you will add both sums.

5 0

3 years ago

A line is graphed below. Write an equation in the form y = mx + b that represents this line

galben [10]

<h3>Explanation</h3>

Slope-Intercept form

$y = mx + b \\ m = slope \\ b = y - intercept$

Calculate the slope with two given coordinate by using rise over run.

$\begin{cases}(x_1,y_1) = ( - 4,0) \\ (x_2,y_2) = ( 0,2) \end{cases}$

These two coordinate points are part of the graph and can be used to find the slope.

$m = \frac{y_2 -y_1 }{x_2 - x_1}$

Substitute the coordinate points in the formula.

$m = \frac{2 - 0}{0 - ( - 4)} \\ m = \frac{2}{ 4} \\ m = \frac{1}{2}$

Therefore, the slope is 2.

Rewrite the equation in slope-intercept.

$y = \frac{1}{2} x + b$

Calculate the y-intercept by substituting any given points in new rewritten equation.

$(x,y) = ( 0,2)$

I will be substituting these coordinate points in the equation.

$y = \frac{1}{2} x + b$

Substitute x = 0 and y = 5 in the equation.

$2 = \frac{1}{2} (0) + b \\ 2 = 0 + b \\ 2 = b$

Therefore the y-intercept is (0,2).

Rewrite the equation.

$y = \frac{1}{2} x + 2$

<h3>Answer</h3>

 $\large \boxed{y = \frac{1}{2} x + 2}$ 

If you have any questions related to the answer, feel free to ask me via comment.

3 0

3 years ago

Jose left the airport and traveled toward the mountains. Kayla left 2.1 hours later traveling 35 mph faster in an effort to catc

svetlana [45]

<h3>Answer: 20 mph</h3>

========================================================

Explanation:

x = Jose's speed in mph

x+35 = Kayla's speed since she drives 35 mph faster than Jose

Jose gets a 2.1 hour head start and it takes Kayla 1.2 hours to reach him. So this means Jose has been driving for 2.1+1.2 = 3.3 hours when Kayla reaches him. The distance he travels is

distance = rate*time

d = r*t

d = x*3.3

d = 3.3x

while Kayla's distance equation is

d = r*t

d = (x+35)*1.2

d = 1.2x+42

Since Kayla meets up with Jose at the 1.2 hour mark, this means the two distances they travel is the same. Set their distance expressions equal to one another. Solve for x.

3.3x = 1.2x+42

3.3x-1.2x = 42

2.1x = 42

x = 42/(2.1)

x = 20

Jose's speed is 20 mph, while Kayla's speed is x+35 = 20+35 = 55 mph.

Jose's fairly slow speed is probably due to a number of factors such as heavy traffic, icy roads, or poor visibility. Kayla probably got a bit of a break with more favorable conditions.

Since Jose travels at 20 mph and does so for 3.3 hours, he travels d = r*t = 20*3.3 = 66 miles. Kayla travels d = r*t = 55*1.2 = 66 miles as well. We get the same number each time to help confirm the answer.

5 0

2 years ago

Is the relationship shown by the data linear? If so, model the data with an equation.

Harrizon [31]

The correct answer is:

The relationship is linear, and the equation is
y-5 = 2(x+7).

Explanation:

To determine if the relationship is linear, we find the slope between each pair of points. Slope is given by the formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope between the first two points is given by:

$m=\frac{9-5}{-5--7}=\frac{9-5}{-5+7}=\frac{4}{2}=2$

The slope between the second pair of points is given by:

$m=\frac{13-9}{-3--5}=\frac{13-9}{-3+5}=\frac{4}{2}=2$

The slope between the third pair of points is given by:

$m=\frac{17-13}{-1--3}=\frac{17-13}{-1+3}=\frac{4}{2}=2$

Since the slope is the same throughout the data, the relationship is linear and the slope is 2.

To write the equation, we use point-slope form, which is:

y-y₁ = m(x-x₁)

Using the first point, we have:

y-5 = 2(x--7)
y-5 = 2(x+7)

8 0

3 years ago

Read 2 more answers

The length of a rectangle is 9 units more than its width. Use x to represent the width. Then write an algebraic expression that

luda_lava [24]

X+9=length

hope this helps! :)

4 0

4 years ago