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Virty [35]
2 years ago
6

Use completing the square to solve for x in the equation (x-12)(x+4)=9

Mathematics
2 answers:
andreyandreev [35.5K]2 years ago
4 0

Answer:

Step-by-step explanation:

lets foil it and complete the square

x^2+4x-12x-48=9

x^2-8x=57

(-8/.5)^2=16

(x-4)^2-73

bogdanovich [222]2 years ago
3 0

Answer:

Choice d is the answer.

Step-by-step explanation:

We have given a  equation.

(x-12)(x+4) = 9

We have to find the solution using completing square technique.

Simplifying given given equation, we have

x²+4x-12x-48 = 9

Adding 48 to both sides of above equation, we have

x²-8x-48+48 =  9+48

x²-8x =  57

Adding the square of half of the term -8x to both sides of above equation, we have

x²-8x+(-4)² =  57+(-4)²

x²+2(1)(-4)+(-4)² =  57+16

(x-4)² = 73

Taking square root to both sides of above equation, we have

√(x-4)² = √73

x-4  = ±√73

Adding 4 to both sides of above equation, we have

x-4+4  =  ±√73+4

x  =  4±√73 which is the answer.

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2 years ago
prediction is to explanation as _____ is to _____. group of answer choices hypothesis; theory theory; hypothesis variable; suppo
kotykmax [81]

By verbal reasoning, the pair of words required can be obtained from the

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Correct response:

  • <u>Variable</u>; <u>supposition</u>
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Prediction: A prediction is a statement indicating the result to be

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4 0
2 years ago
I need help with intercepts from a graph
Rina8888 [55]

Explanation: The y axis is the line that goes up and down, vertical. The x axis is the line that goes straight across, horizontal. So, when looking for intercepts we have to see what numbers your graphed line goes through.

Make sure when you are writing your points you write it in (x,y) form. If you don't it will be wrong.

So, for our x intercept it would be -7,0.

This is because your graphed line goes through x at -7 and it has no y, so that would be 0.

For your y intercept, it would be 0,2

This is because our line does not go through x, so we make that 0. It does go through y at 2.

Hope this helps :)

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3 years ago
A child's sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What
8_murik_8 [283]

Answer:

the volume of sand is 50 ft^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, rectangular prism.

Given data

Length  l= 4 ft Width w= 5ft\\Height h = 3ft

if the sandbox is filled with sand of 2\frac{1}{2 } ft deep the volume of the sand in the box will be calculated based on the the depth of the sand

converting the depth of sand from mixed fraction to proper fraction we have 2\frac{1}{2} = \frac{5}{2}

the expression for the volume of a rectangular prism is

volume of sand = length * width* height

substituting our data into the expression we have

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