1) You must add 4 to each side to complete the square.
2) You must add 16 to each side to complete the square.
3) You must add 27 to each side to complete the square.
Explanation:
1) x²-4x=0
To find the number that we add to both sides, we look at b, the cofficient of x. It is -4. We divide it by 2 and square it; -4/2 = -2; (-2)² = 4. This is the value that we add to both sides.
2) x²-8x=6
-8/2 = -4; (-4)²=16
We add 16 to each side to complete the square.
3) 3x²+18x=24
First we can factor a 3 out of the left side:
3(x²+6x) = 24
Our b value is now 6. 6/2 = 3; 3²=9. The 9 would, however, go in the parentheses, so it would be multiplied by 3, which makes 27; this means we would add 27 to both sides.
Answer: V = (12in - 2*x)*(8 in - 2*x)*x
Step-by-step explanation:
So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.
Remember that for a box of length L, width W and height H, the volume is:
V = L*W*H
In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:
L = 12 in - 2*x
For the width we have a similar case:
W = 8in - 2*x
And te height of the box will be equal to x, then:
H = x
This means that the volume is:
V = (12in - 2*x)*(8 in - 2*x)*x
Here we can see the connection between the cutout and the volume of the box
Student 1 and student 3 are equivalent
Answer:
P = 528
Step-by-step explanation:
P = a + b + c = 200 + 107 + 221 = 528
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<h3>Andre Bought:</h3><h3>• 1 Baseball Glove For $34 Each</h3><h3>• 2 Packs of Socks For $6 - 7.75% Each</h3>
<h3 /><h3>$34 + $8</h3><h3>= $42</h3><h3><u>Andre Paid A Total of $42</u></h3>
<h3>7.75% × $6 ÷ 100</h3><h3>= 0.465 × 2</h3><h3>= 0.93%</h3><h3><u>Andre Saved 0.93% In Total At The Sale</u></h3>
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