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Archy [21]
3 years ago
5

Point M is the midpoint of CD. What is the value of a in the figure?

Mathematics
1 answer:
liq [111]3 years ago
8 0

Answer:

a=3

Step-by-step explanation:

Given points (a, b) and (c,d), the midpoint of the points will be at

((a+c)/2, ((b+d)/2)

Therefore, given (9, 2) and (a,2a), our midpoint is at

((9+a)/2, (2+2a)/2) = (6,4)

Matching the x values to their corresponding x values and doing the same with the y values, we get

(9+a)/2 = 6

(2+2a)/2 = 4

First, we have

(9+a)/2 = 6

multiply both sides by 2 to remove the denominator

9+a = 12

subtract 9 from both sides to isolate a

a = 3

2a = 2 * a = 6

Confirming this, we have

(2+2a)/2 = 4

(2+6)/2 = 4

8/2=4

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Answer:

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4

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2 years ago
Plato solve the equation for v ​
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v=15z-pz

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
PLEASE HELP!!! <br> Solve the quadratic equation by completing the square.
kow [346]

The values of x in the quadratic equation using completing the square method are x=-4 \pm \sqrt{5}.

Given information:

The quadratic equation is x^2+8x+11=0.

It is required to factorize the given quadratic equation using completing the square method.

<h3>How to factorize a quadratic equation?</h3>

Use completing the square method to solve the equation as,

x^2+8x+11=0\\(x)^2+2(x)(4)+4^2-4^2+11=0\\( (x)^2+2(x)(4)+4^2)-4^2+11=0\\(x+4)^2-16+11=0\\(x+4)^2=5\\(x+4)=\pm \sqrt{5} \\x=-4 \pm \sqrt{5}

Therefore, the values of x in the quadratic equation using completing the square method are x=-4 \pm \sqrt{5}.

For more details about quadratic equation, refer to the link:

brainly.com/question/2263981

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1 year ago
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