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nasty-shy [4]
3 years ago
11

If using the method of completing the square to solve the quadratic equation x2 - 6x – 7 = 0, which number would have to be adde

d to "complete the square"?​
Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0

Answer:

(-3)^2

Step-by-step explanation:

You add 7 on both sides, giving you x^2 - 6x = 7

Then, take half of b, and square it. Giving you x^2 - 6x +(-3)^2 = 7

The answer will be (-3)^2 for this question, but this is not the full solution.

Hope this helped. Good luck on the rest!

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Factor the expression<br>y^2 - 900​
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Answer:

Factoring:  y2-900  

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Proof :  (A+B) • (A-B) =

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Note :  AB = BA is the commutative property of multiplication.

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Check : 900 is the square of 30

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What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps.
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Answer:

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Step-by-step explanation:

Area of a rhombus = \frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})

From the graph attached,

Diagonal 1 = Distance between the points A and C

Diagonal 2 = Distance between the points B and D

Length of a segment between (x₁, y₁) and (x₂, y₂) = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }

Diagonal 1 (AC) = \sqrt{(4-0)^2+(-1+1)^2} = 4 units

Diagonal 2(BD) = \sqrt{(2-2)^2+(3+5)^2} = 8 units

Now area of the rhombus ABCD = \frac{1}{2}(\text{AC})(\text{BD})

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