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trapecia [35]
3 years ago
7

What number should be added to both sides of the equation to complete the square? x2 - 6x = 5

Mathematics
2 answers:
Arlecino [84]3 years ago
7 0

Answer:

9

Step-by-step explanation:

Ymorist [56]3 years ago
4 0

Answer:

9

Step-by-step explanation:

Given

x² - 6x = 5

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = 5 + 9, that is

(x - 3)² = 14

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If parallelogram JKLM is rotated 270° counterclockwise around the origin, what are the coordinates of the endpoints of the side
Sati [7]

The <em>correct answer</em> is:

B) K’(6, 4); L’(3, 3)

Explanation:

A 270° clockwise rotation maps every point (x, y) to (y, -x). (It negates the x-coordinate and then switches it and the y-coordinate.)

This means the endpoints of the side congruent to KL, K' and L', would be mapped as:

K'(-4, 6)→(6, 4)

L'(-3, 3)→(3, 3)

8 0
3 years ago
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How do we express one-half of the<br>difference of a number cubed and one?<br><br>​
Savatey [412]

Answer:the number one

Step-by-step explanation:

7 0
3 years ago
Universal Pet house sells vinyl doghouse and treated lumber doghouses. It takes the company 5 hours to build a vinyl doghouses a
LuckyWell [14K]

Answer:

The system of equations is :

Equation 1- 5x+2y=50

Equation 2- x+2y=30

Number of vinyl doghouse = 5

Number of treated lumber doghouse =12.5

Step-by-step explanation:

Let x be the number of vinyl doghouses

y be the number of treated lumber doghouses

→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.

Equation 1- 5x+2y=50

→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.

Equation 2- x+2y=30

→When we solve these equation we get the number of  vinyl doghouse and treated lumber doghouse.

Subtract equation 2 from equation 1

5x+2y-x-2y=50-30

4x=20

x=\frac{20}{4}

x=5

Put value of x in equation 2

x+2y=30

5+2y=30

2y=25

y=\frac{25}{2}

y=12.5

Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5

4 0
3 years ago
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What is the next number? 2 7 8 3 12 9
Oxana [17]
Answer : 10 or 13
I hope this helped and feel free to pm me!
3 0
3 years ago
Show your work: convert 1/8 into a decimal
lukranit [14]

answer : 0.125

explanation: it’s actually really easy all you have to do is

take the fraction and divide it like :

1/8 = 1 divided by 8 = 0.125
3 0
3 years ago
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