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Olin [163]
3 years ago
14

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

Mathematics
2 answers:
Kay [80]3 years ago
6 0
X= 4 + \sqrt{73}

x= 4 - \sqrt{73}
cestrela7 [59]3 years ago
6 0

we have

(x-12)(x+4)=9\\ x^{2} +4x-12x-48=9\\ x^{2} -8x-48=9

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2} -8x=9+48\\ x^{2} -8x=57

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} -8x+16=57+16\\ x^{2} -8x+16=73

Rewrite as perfect squares

x^{2} -8x+16=73\\ (x-4)^{2} =73\\ (x-4)=(+/-)\sqrt{73}

x1=4+\sqrt{73} \\ x2=4-\sqrt{73}

therefore

the answer is

x1=4+\sqrt{73} \\ x2=4-\sqrt{73}



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Consider the formula for the slope between two coordinate points, m, shown below. Which of the following equations is equivalent
o-na [289]

Answer:

Answer is A

Step-by-step explanation:

m = y2 - y1 \div x2 - x1 \\  y2 = m(x2 - x1) + y1

6 0
3 years ago
Pleaseee Help me 20 pts
Simora [160]

Answer:

Tax is  C 4.12

Tip is  E 15.00

total =94.10

Step-by-step explanation:

Tax = bill * tax rate

      = 74.98 * 5.5%

      = 74.98 * .055

      = 4.1239

To the nearest cent = 4.12

Tip = bill * tip rate

      = 74.98 * 20%

       = 74.98 *.2

       = 14.996

 To the nearest cent = 15.00

The total bill is

Final = bill + tax+ tip

        = 74.98 + 4.12+15

       = 94.10

7 0
3 years ago
A gallon of Moo Milk costs \$5.12$5.12dollar sign, 5, point, 12. What is the price, in dollars, of an 888 ounce glass of Moo Mil
Sladkaya [172]
The correct statement is:
A gallon of Moo Milk costs $5.12 What is the price, in dollars, of an 8 ounce glass of Moo Milk? There are 128 ounces in 1 gallon.

Solution:
Cost of 1 gallon of Moo Milk = $ 5.12

1 gallon = 128 ounces, so we can write:

Cost of 128 ounces of Moo Milk = $ 5.12

Cost of 1 ounce of Moo Milk = $ 5.12/128 = $ 0.04

Cost of 8 ounces of Moo Milk = $ 0.04 x 8 = $ 0.32

Thus, 8 ounces of Moo Milk will cost $ 0.32
3 0
3 years ago
Read 2 more answers
If p(x)= 2^x, what is the value of p(3) - p(2)?
rjkz [21]

Answer:

4

Step-by-step explanation:

p(3) = 2³ = 8

p(2) = 2² = 4

8-4 = 4

4 0
3 years ago
Examine the system of equations. y = 4x + 8, y = 4x – 1 Which statements best describe the two expressions? Check all that apply
Lerok [7]

Answer:

The correct statements are as follows;

1. They have different y-intercepts

2. The substitution method results in false statement 8 = -1

3. There is no solution

Step-by-step explanation:

Here, we want to select the statement that best describes the equations

The equation for a straight line is generally;

y = mx + b

m is slope and b is the y-intercept

slope of both is same ; 4

So first assertion is wrong

they have different y-intercepts

First y-intercept is 8, second is -1

This is correct

The third statement is correct too

if we equated both y;

4x + 8 = 4x -1

We shall have 4x canceled out and left with 8 = -1

(8,-1) is not a solution

There is no solution is correct because after substituting, we have 8 = -1 which is not correct and also impossible

7 0
3 years ago
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