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White raven [17]

4 years ago

5

The sum of 3 consecutive even integers is 576. Find the integers

1 answer:

alisha [4.7K]4 years ago

4 0

You can write the equation
x+1+x+3+x+5=576
Combine like terms
3x+9=576
Subtract 9 from both sides
3x+9-9=576-9
3x=567
Divide both sides by 3
3x/3=567/3
x=189
The first integer is 190, the second is 192 and the third is 194 (enter it into the original equation to get those answers)

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6 0

3 years ago

What is the midpoint of EC ?

sergij07 [2.7K]

<u>Given</u>:

Given that the graph OACE.

The coordinates of the vertices OACE are O(0,0), A(2m, 2n), C(2p, 2r) and E(2t, 0)

We need to determine the midpoint of EC.

<u>Midpoint of EC:</u>

The midpoint of EC can be determined using the formula,

$Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Substituting the coordinates E(2t,0) and C(2p, 2r), we get;

$Midpoint=(\frac{2t+2p}{2},\frac{0+2r}{2})$

Simplifying, we get;

$Midpoint=(\frac{2(t+p)}{2},\frac{2r}{2})$

Dividing, we get;

$Midpoint=(t+p,r)$

Thus, the midpoint of EC is (t + p, r)

Hence, Option A is the correct answer.

7 0

3 years ago