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gregori [183]
3 years ago
11

Find the slope, if it exists, of the line containing (-8,-5) and (-19,- 13)

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0

Answer: 8/11

Step-by-step explanation:

To find slope you can use this formula:

y2-y1/x2-x1

substitute the values with the ones from the 2 points

-13-(-5)= -8

-19-(-8)=-11

you then divide -8/-11

and you get 8/11

8/11 is the slope of those 2 points.

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Please show steps to solve y=3\2x-2 y=x+2
castortr0y [4]
Substitute what you know y is equal to into the equation:
y = x + 2
3/2x - 2 = x + 2

Then you can simplify your equation by multiplying both sides by 2 to eliminate the fraction which will give you:

3x - 4 = 2x + 4

Add the -4 to the other side to get 8 and subtract the 2x from the 3x so you have:

x = 8    Now solve for y by substituting your value for x into the other equation:
y = 3/2(8) - 2    Simplify by combining your numbers and you get:
y = 10     Check your answer by substituting y and x into the original equation:
(10) = (8) - 2
Correctly done! So your answers are x = 8 and y = 10
6 0
4 years ago
National Bank advertises an intrest rate (in decimal form) of 0.12 if your initial investment is 500 and you want to acumalte $9
elena-s [515]

Answer:

It will take 15 years for $500 to yield $900 at an interest rate of 0.12

Step-by-step explanation:

Simple Interest equals Principal times Rate times The time in years,

That is SI = P*R*T

SI is $900

P = $500

R = 0.12

T i.e. Time is unknown

T will be equal to SI divided by P*R

i.e., T = SI/PR

T = $900/$500*0.12 = 900/60

T = 15 years.

Therefore, it will take $500 investment to yield $900 interest in 15 years at an interest rate of 0.12

4 0
4 years ago
Help help help help help help help help help help help help help help help help help help help help help help help help help hel
lesya [120]

f(x)= -2x+1 {-2,0,2,4,6}

If x=-2, then -2(-2)+1 = 5

If x=0, then -2(0)+1 = 1

If x=2, then -2(2)+1 = -3

If x=4, then -2(4)+1 = -7

If x=6, then -2(6)+1 = -11

Answer:

B {5,1,-3,-7,-11}

4 0
3 years ago
Read 2 more answers
A spring exerts a force of 1000 pounds when stretched five feet from its equilibrium
mamaluj [8]

Answer: 1,200 pounds

5 feet = 1,000 pounds

5 x 200 = 1,000

6 feet = 1,250 pounds

6 x 200 = 1,200

Answer = 1,200 pounds

6 0
4 years ago
Read 2 more answers
A room is 5 ft. 6 in. by 9 ft. 9 in. wide. How many square yards of flooring are needed
Stells [14]

Answer:

5.96 square yards of flooring are needed

Step-by-step explanation:

We have

           1 yard = 3 feet

           1 yard = 36 inch

A room is 5 ft. 6 in  by 9 ft. 9 in  wide.

Length = 5 ft 6 in =\frac{5}{3}+\frac{6}{36}=\frac{11}{6}yard

Width = 9 ft 9 in =\frac{9}{3}+\frac{9}{36}=3+\frac{1}{4}=\frac{13}{4}yard

Area = Length x Width =\frac{11}{6}\times \frac{13}{4}=5.96yard^2

5.96 square yards of flooring are needed

6 0
3 years ago
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