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Eva8 [605]
3 years ago
15

What is the slope of the line passing through (−4, 9) and (3, −5)?

Mathematics
1 answer:
Vadim26 [7]3 years ago
3 0
The slope would be -2.

This can be found by uding the formula y2 - y1/x2 - x1 (-5 - 9/ 3 - (-4)). Solving this would give you -14/7, which if you divide by 7 is -2/1 or -2.

I hope this helps!
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Emily has 8 coins in her purse totaling 50 cents. The only kinds of coins she has are nickels and dimes. How many nickels does E
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Linear equation are the equation which has the power of the unknown variable is 1. The Emily have total 2 number of dimes coin and total 6 number of nickels coin.

<h3>Given information-</h3>

Emily has 8 coins in her purse totaling 50 cents

The only kinds of coins she has are nickels and dimes.

<h3>Nickel</h3>

A nickel is a coin which has the value equal to the 5 cents.

<h3>Dimes</h3>

A dimes is a coin which has the value equal to the 10 cents.

Suppose the number of nickel coin is <em>x </em>and the number of dimes coin is <em>y.</em>

As total coins are 8 . Thus,

x+y=8      

x=8-y                  ......equation 1

As the total value of the cents is 50 and nickel is equal to the 5 cents whereas the dimes is equal to the 10 cents. Thus,

5x+10y=50        

Put the value of the <em>x</em> from the equation 1 in the above equation.

\begin{aligned}5(8-y)+10y &=50\\40-5y+10y &=50\\5y &=50-40\\y&=\dfrac{10}{5} \\y&=2\end

Thus Emily have total 2 number of dimes coin.

Put this value of y in equation 1 we get,

x=8-2\\x=6

Thus  Emily have total 6 number of nickels coin.

Hence the Emily have total 2 number of dimes coin and total 6 number of nickels coin.

Learn more about the coin based problems here;

brainly.com/question/10482015

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Step-by-step explanation:

Total spending = Rent + Cost

= $750 + $2000

= $2750

8 0
3 years ago
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