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dimulka [17.4K]

3 years ago

6

Simplified please SHOW WORK

1 answer:

jasenka [17]3 years ago

8 0

Answer:

sorry for blurred image........

Step-by-step explanation:

hope it helps

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What is the y-intercept of the equation of the line that is perpendicular to the line y =

Luda [366]

Answer:

$y$ intercept $=10$

line $y=-x+10$

Step-by-step explanation:

Let $y=mx+b$ is the required line.

<u>Slope of perpendicular lines :</u> If $m_{1}$ and $m_{2}$ be slope of two perpendicular lines. Them $m_{1}\times m_{2}=-1$

$y=mx+b$ is perpendicular to $y=x+10$

the slope of $y=x+10$ is $=1$

$m\times 1=-1\\m=-1$

Hence eqn is $y=-x+b$

This equation passes through $(15,-5)$

$-5=-15+b\\b=-5+15\\b=10$

so the line is $y=-x+10$

<u>y-intercept :</u>

Substitute $x=10$

$y=0+10\\y=10$

7 0

3 years ago

Two canoes travel down a river, starting at 9:00 a.M. One canoe travels twice as fast as the other. After 4.5 hours, the canoes

Vedmedyk [2.9K]

Answer:

$v_1=3.33 \ miles/hour\\v_2=6.66 \ miles/hour$

Step-by-step explanation:

<u>Constant Speed Motion </u>

When the object travels the same distances in the same period of time, the speed is constant and is can be calculated as

$\displaystyle v=\frac{x}{t}$

where x is the distance and t is the time

There are two canoes traveling at speeds v1 and v2. One of them has twice the speed as the other. Let's say

$v_2=2v_1$

When t hours have passed, the canoes have traveled x1 and x2 respectively.

$x_1=v_1t$

$x_2=v_2t$

Since

$v_2=2v_1$

Then

$x_2=2v_1t$

The distance between them is

$X=x_2-x_1=2v_1t-v_1t$

$X=v_1t$

That distance is known and equals 11.25 miles, thus

$v_1t=15$

Solving for v1 and using t=4.5 hours

$\displaystyle v_1=\frac{15}{4.5}$

$v_1=3.33 \ miles/hour$

$v_2=2\times 3.33$

$\boxed{v_2=6.66 \ miles/hour}$

6 0

3 years ago

The sears tower in chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the mod

Dominik [7]

Answer:

$\frac{1}{725}$

The sear tower is $725$ times higher than the sears tower model

Step-by-step explanation:

we know that

The ratio of the height of the model to the height of the actual sears tower is equal to the scale factor

Let

z------> the scale factor

x-------> the height of the model

y-------> the height of the actual

so

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

we have

$x=24\ in$

$y=1,450\ ft$

substitute

$z=\frac{24}{1,450}\frac{in}{ft}$

simplify

$z=\frac{12}{725}\frac{in}{ft}$

Remember that

$1\ ft=12\ in$

so

$\frac{12}{725}\frac{in}{ft}=\frac{1}{725}\frac{ft}{ft}$

8 0

3 years ago

Read 2 more answers

What is the surface area? 4 cm 10 cm 10 cm square centimeters

iogann1982 [59]

The answer is 360 cm^2.

Hope this helped!

5 0

3 years ago

A fruit bowl has 5 apples 7 oranges and 4 bananas. What is the ratio of apples to bananas?

Korolek [52]

Answer:

5 apples to 4 bananas

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers