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Lostsunrise [7]

2 years ago

15

9. Write the equation of the line that is parallel to the line 5x - 4y = 4 and passes through the

1 answer:

wolverine [178]2 years ago

6 0

Answer:

y = 5/4x + 12

Step-by-step explanation:

4y = 5x - 4

y = 5/4x - 1

2 = 5/4(-8) + b

2 = -10 + b

b = 12

You might be interested in

What is the product of −2 1/4 and −4 1/2 ?

frozen [14]

To multiply fracti0ons, we need to convert them to improper fractions:

-2 1/4 = -9/4
-4 1/2 = -9/2

Now, lets multiply:

-9/4 * -9/2 = 81/8

Hope this helps!

Take note that the answer is positive because when multiplying, two negatives make a positive.

4 0

3 years ago

What is the y- intercept of a line that has a slope of 2 and passes through (-1,3)?

pentagon [3]

Answer:

y - intercept = 5

Step-by-step explanation:

Equation: y = mx + b

Input the given values

3 = -1(2) + b

3 = -2 + b

5 = b

-Chetan K

8 0

3 years ago

Cone A has a radius of 2 inches and a height of 3 inches. In cone B, the height is the same, but the radius is doubled. Calculat

wlad13 [49]

Answer: Option C.

Step-by-step explanation:

Use the formula for calculate the volume of a cone:

$V=\frac{1}{3}\pi r^2h$

Where r is the radius and h is the height.

Volume of the cone A:

$V_A=\frac{1}{3}\pi (2in)^2(3in)=12.56in^3$

Volume of the cone B:

If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:

$r_B=2r_A\\r_B=2*2in\\r_B=4in$

Then:

$V_B=\frac{1}{3}\pi (4in)^2(3in)=50.26in^3$

Divide $V_B$ by $V_A$ :

$\frac{V_B}{V_A}=\frac{50.26in^3}{12.56in^3}=4$

Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.

5 0

3 years ago

Read 2 more answers

Two trains leave towns 1490 kilometers apart at the same time and travel toward each other. One train travels 20 km/h slower tha

Fynjy0 [20]

Answer:

rate 1. 50 2. 56

Step-by-step explanation:

if you graph them all together.

5 0

3 years ago

At the Boston Marathon there were 20,000 runners who finished the race. Each runner ran a distance of 26 miles. If you add toget

andre [41]

Answer:

the runners have gone 20.8 times around the globe all together

Step-by-step explanation:

At the Bostom Marathon, we have a total of

N = 20,000 runners

We know that each runner ran a distance of

d = 26 miles

Therefore, the total distance travelled by all runners combined is:

$D=Nd=(20,000)(26)=5.2\cdot 10^5 mi$

We know that the circumference of the Earth is

$c=2.5\cdot 10^4 mi$

Here we want to find how many times around the globe would the marathon runners have gone. This can be found by calculating the following ratio:

$n=\frac{D}{c}$

And substituting the values, we find:

$n=\frac{5.2\cdot 10^5}{2.5\cdot 10^4}=20.8$

So, the runners have gone 20.8 times around the globe all together.

4 0

3 years ago