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2 years ago

6

The distance Train A travels is represented by y=70x, where y is the distance in kilometers and x is the time in hours. What is

the unit rate of Train A?

1 answer:

s344n2d4d5 [400]2 years ago

7 0

Answer:

the unit rate is 70 miles per 1 hour

Step-by-step explanation:

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In the previous problem, how does the angle of depression from the top of the taller building relate to the angle of elevation f

tia_tia [17]

The angles of elevation and depression are formed by the line of sight and the horizontal line. When the line of vision is above the horizontal line, the angle is of elevation, and if the line of sight is below the horizontal, the angle is of depression.

The angle of depresion from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles. Then, if the angle of depression of the taller building is 15° the angle of elevation of the shorter building is 15° too. To understand this, you should see the diagram attached.

In the diagram you can notice that both angles, of elevation and depression, have the same value.

Then, the answer is: The angle of depresion from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles.

3 0

2 years ago

Equation of the graph

natka813 [3]

Answer:

A and C

Step-by-step explanation:

It can not be D, since that will mean that <em>the line is perfectly horizontal</em>, with 0 as its slope.

It can be C, since the <em>equation's slope is positive and has a negative y-intercept</em>, like the graph.

Changing around A gives us y = 2x - 3. That has a <em>positive slope and a negative y-intercept</em>, like the graph. So, A is a possibility.

Changing around B gives us y = ²/₃x + 3. This has a positive slope, <em>but also a positive y-intercept</em>, so B can not be the answer.

4 0

3 years ago

3. Sam and Tim each have savings accounts. Every month they each put in some of their

Setler [38]

Answer:

$y = 30x +50$ --- Sam

$y = 20x +80$ --- Tim

Step-by-step explanation:

Given

Sam Tim

х --- f(x) --------------- g(x)

1 --- 80 --------------- 100

2 --- 110 --------------- 120

3 --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,80)$

$(x_2,y_2) = (4,170)$

Next, we calculate the slope (m)

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

$m = \frac{170 - 80}{4 - 1}$

$m = \frac{90}{3}$

$m = 30$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 80 = 30(x - 1)$

$y - 80 = 30x - 30$

Make y the subject

$y = 30x - 30 + 80$

$y = 30x +50$

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,100)$

$(x_2,y_2) = (4,160)$

Next, we calculate the slope (m)

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

$m = \frac{160 - 100}{4 - 1}$

$m = \frac{60}{3}$

$m = 20$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 100 = 20(x - 1)$

$y - 100 = 20x - 20$

Make y the subject

$y = 20x - 20+100$

$y = 20x +80$

7 0

2 years ago

What is the area of the surface cone rounded to the nearest tenth?

EleoNora [17]

Answer:

A = 422.4

i promise it's right :)

4 0

2 years ago

....a....b......c.......d....e...f...g.......h.......i....j.....k..........l.....m....n........o......p.............q....r......

bekas [8.4K]

Answer:

Now i know my abc's next time won't you sing with meee

Step-by-step explanation:

thx

4 0

2 years ago

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