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VikaD [51]
3 years ago
6

What is the slope of the line 5(y+2) = 4(x-4)

Mathematics
2 answers:
Nadya [2.5K]3 years ago
5 0

Answer: 4/5

Step-by-step explanation:

If you put the equation in point slope form, then the equation is...

y+2 = (4/5)(x-4)

Then we can identify the slope as 4/5.

Colt1911 [192]3 years ago
4 0

\text{Solve the equation by turning it into slope intercept form:}\\\\5(y+2) = 4(x-4)\\\\\text{Use the distributive property:}\\\\5(y+2) = 4(x-4)\\\\5y+10=4x-16\\\\\text{Subtract 10 from both sides}\\\\5y=4x-26\\\\\text{Divide by 5}\\\\y=\frac{4}{5}x-\frac{26}{5}\\\\\\\text{The slope is the number next to the y variable, so the slope would be 4/5}\\\\\boxed{\text{Slope:}\, \frac{4}{5}}}

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The radius of Earth is about 3960 miles. The radius of the moon is about 1080 miles. a. Find the surface area of Earth and the m
Molodets [167]

A) The formula for surface area of a sphere is A = 4*PI*r^2

using 3.14 for PI:

Surface area for Earth = 4 * 3.14 x 3960^2 = 196,960,896 miles^2

Surface area of the moon: 4 * 3.14 * 1080^2 = 14,649,984 miles^2

B)Divide the Surface of the Earth by the moon:

196,960,896 / 14,649,984 = 13.44

The Earths surface is 13.4 times larger than the moon.

C) Multiply the surface of the Earth by 70%:

196,960,896 * 0.70 = 137,872,627.2 million square miles of water.

4 0
3 years ago
One number is 6 more than twice another. If their sum is 51, find the numbers.
joja [24]

Answer:

y=2x+6 ; x+y=51

Step-by-step explanation:

assuming x is one number and y is the other -

one number (y) is 6 more (+6) than twice another (2x) -

using that knowledge we form an equation -

y=2x+6

the sum (x+y) is 51

using this knowledge we can make the equation -

x+y=51

now you have -

y=2x+6 or 2x-y=-6

x+y=51

using system of equations -

you add the equations -

3x=45

x=15

y=51-x => y=36

hope this helps!!

7 0
3 years ago
A car rental agency charges a base fee of $50 plus an additional charge of $0.40 for every mile driven. The total charge, c, is
mylen [45]

Answer:

320 miles

Step-by-step explanation:

c=178

subtract the base fee of 50 from c- you get 128

Divide 128 by the 0.40 rate to get m by itself

m then equals 320

7 0
3 years ago
Use the figure below. What is m
tankabanditka [31]

Answer:

150

Step-by-step explanation:

90-60 is 30

180-30 is150

3 0
3 years ago
59:26 What is the length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple? 22 29 41 42
Vikki [24]
If the legs are length a and b and hyptonuse is c then
a²+b²=c²

so
if the legs are 20 and 21 and the hypotnuse is x then
20²+21²=x²
400+441=x²
841=x²
29=x
4 0
3 years ago
Read 2 more answers
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