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3 years ago

Passes through (1,9) slope=2

Mathematics

1 answer:

quester [9]3 years ago

4 0

Answer:

y=2x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-9=2(x-1)

y=2x-2+9

y=2x+7

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Paul travel to the lake and back. The trip took 3 hours and the trip back took 4 hours He averaged 10 mph faster on the trip the

ollegr [7]

Answer:

40 mph

Step-by-step explanation:

We assume "outbound" refers to the trip <em>to the lake</em>. The ratio of speeds is inversely proportional to the ratio of times, so ...

outbound speed : inbound speed = 4 : 3

These differ by one ratio unit, so that one ratio unit corresponds to the speed difference of 10 mph. Then the 4 ratio units of outbound speed will correspond to ...

4×10 mph = 40 mph

Paul's average speed on the outbound trip was 40 mph.

___

The distance to the lake was 120 mi.

4 0

3 years ago

Read 2 more answers

Dilate a triangle with vertices (0,0), (0,2) and (2,0) using the scale factor k=3. What is the value of the ratio (new to origin

seropon [69]

Answer:

Part a) The ratio of the perimeters is $3$

Part b) The ratio of the areas is $9$

Step-by-step explanation:

Part A) What is the value of the ratio (new to original) of the perimeters?

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the new triangle

y-----> the perimeter of the original triangle

$z=\frac{x}{y}$

we have

$z=3$

substitute

$\frac{x}{y}=3$

Part B) What is the value of the ratio (new to original) of the areas?

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the new triangle

y-----> the area of the original triangle

$z^{2}=\frac{x}{y}$

we have

$z=3$

substitute

$\frac{x}{y}=3^{2}$

$\frac{x}{y}=9}$

3 0

3 years ago

Quickly! Giving brainliest to the CORRECT answer.

maw [93]

Answer:11 bikers

Step-by-step explanation:

560 ➗ 50=11.2

Approximate to 1dp is 11

3 0

3 years ago

In ΔGHI, the measure of ∠I=90°, the measure of ∠G=21°, and GH = 31 feet. Find the length of IG to the nearest tenth of a foot.

Vilka [71]

Answer:

$IG=28.9\ ft$

Step-by-step explanation:

we know that

In the right triangle GHI

$cos(G)=\frac{IG}{GH}$ ----> by CAH )adjacent side divided by the hypotenuse)

substitute the given values

$cos(21^o)=\frac{IG}{31}$

solve for IG

$IG=cos(21^o)(31)=28.9\ ft$

see the attached figure to better understand the problem

7 0

3 years ago

Read 2 more answers

Bill earns $12 per hour and works at most 40 hours per week

blsea [12.9K]

If you would like to know how much money does Bill earn per week, you can calculate this using the following steps:

$12 per hour
40 hours per week

$12 * 40 hours = 12 * 40 = $480 per week

The correct result would be $480 per week.

4 0

3 years ago

Read 2 more answers