Find the length of DE using the distance formula. d =

Mathematics

1 answer:

Slav-nsk [51]2 years ago

5 0

Answer:

d = 10units

Step-by-step explanation:

The question is incomplete. Find the complete question attached

The formula for calculating the distance between two points is expressed by the formula;

d = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinate points (-4, 2) and (4, -4)

d = √(4-(-4))²+(-4-2)²

d = √(4+4)²+(-6)²

d = √(8)²+(-6)²

d = √64+36

d = √100

<em>Hence the distance between the points DE is 10units</em>

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Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25

The value of the coins is 0.05 per nickel, and 0.01 per penny.
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Now you have a system of equations.

n + p = 25
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Solve the first equation for n:
n = 25 - p

Now substitute into the second equation.

0.05(25 - p) + 0.01p = 0.73

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Check: 13 pennies and 12 nickels does total 25 coins.
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Our answer is correct.

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