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SpyIntel [72]
2 years ago
6

Solve using square roots: (x-6)^2=144

Mathematics
1 answer:
love history [14]2 years ago
5 0

x^2-12x+36-144=0

x^2-12x-108=0

(x-18)(x+6)

X=18,-6

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alexira [117]
He bought 20 pounds of pet food
4 0
3 years ago
Find the value of x. Then find the measure of each labeled angle
Artyom0805 [142]

Step-by-step explanation:

Question 10 :

3x + 6 = 4x – 12 ( reason: corresponding angles due to parallel lines)

simplify and get x, thus x = 18

to find 3x + 6 or 4x - 12(which is both the same),

3(18) + 6 = 60° , 4(18) - 12 = 60°

Question 11:

2x + 24 + x = 180 ( reason: interior angles due to parallel lines)

simplify again to get x, you will get x = 52

then find the individual by subbing in the value of x into the equation.

so 2x + 24 = 2(52)+24 = 128° and x = 52°

7 0
2 years ago
Given the system of equations:
uranmaximum [27]

Answer:

x=4

y=2

Step-by-step explanation:

2x+2y=12

x−y=2

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

2x+2y=12,x−y=2

To make 2x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 2.

2x+2y=12,2x+2(−1)y=2×2

Simplify.

2x+2y=12,2x−2y=4

Subtract 2x−2y=4 from 2x+2y=12 by subtracting like terms on each side of the equal sign.

2x−2x+2y+2y=12−4

Add 2x to −2x. Terms 2x and −2x cancel out, leaving an equation with only one variable that can be solved.

2y+2y=12−4

Add 2y to 2y.

4y=12−4

Add 12 to −4.

4y=8

Divide both sides by 4.

y=2

Substitute 2 for y in x−y=2. Because the resulting equation contains only one variable, you can solve for x directly.

x−2=2

Add 2 to both sides of the equation.

x=4

The system is now solved.

x=4,y=2

Correct choice is B) x=4.

8 0
2 years ago
Read 2 more answers
38) The length of a rectangle is 15.6 cm correct to 1 decimal place.
Ede4ka [16]

Answer:

38.75

Step-by-step explanation:

perimeter = 2(15.6+3.8) =38.8

lower bound = the smallest value that would round up to the estimated value =38.75

6 0
3 years ago
what is the y intercept of the line with a slope of - 4/7 that also passes through the point (7 , - 7/2) ?
kondor19780726 [428]

The answer is the last option: \frac{1}{2}

Explanation:

1. You have that the equation of the line is:

y=mx+b

Where m is the slope of the line and b is the intercept with the y-axis.

2. Therefore, you must find b.

3. Then, you must substitute the points given in the problem and the slope into the equation of the line and solve for b, as following:

y=mx+b\\-\frac{7}{2}=(-\frac{4}{7})(7)+b\\-\frac{7}{2}=-4+b\\b=\frac{1}{2}

8 0
3 years ago
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