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Leto [7]
2 years ago
15

Factor the following polynomial completely 4x^2-100

Mathematics
1 answer:
Murrr4er [49]2 years ago
4 0

Answer:

4 [ ( x - 5) ( x + 5) ]

Step-by-step explanation:

4x²-100

4 (x²-25)

4 (x²-5²)

4 [( x - 5) ( x + 5)]

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-9(y+3) = 2y+39<br>Simplify your answer as much as possible.​
Viktor [21]

-9y-27=2y+39

Add 9y on both side

-27=11y+39

Sub 39 from each side

-66=11y

y=-6 Ans,,

4 0
3 years ago
Read 2 more answers
8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)
Elenna [48]

Answer:

8. c. (-1, -1)

9. a. (-6, -1)

b. True

Step-by-step Explanation:

8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:

let D(5, 7) = (x_2, y_2)

C(?, ?) = (x_1, y_1)

M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2})

Rewrite the equation to find the coordinates of C

2 = \frac{x_1 + 5}{2} and 4 = \frac{y_1 + 7}{2}

Solve for each:

2 = \frac{x_1 + 5}{2}

2*2 = \frac{x_1 + 5}{2}*2

4 = x_1 + 5

4 - 5 = x_1 + 5 - 5

-1 = x_1

x_1 = -1

4 = \frac{y_1 + 7}{2}

4*2 = \frac{y_1 + 7}{2}*2

8 = y_1 + 7

8 - 7 = y_1 + 7 - 7

1 = y_1

y_1 = 1

Coordinates of endpoint C is (-1, 1)

9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:

let A(-2, -9) = (x_2, y_2)

B(?, ?) = (x_1, y_1)

M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2})

-4 = \frac{x_1 - 2}{2} and -5 = \frac{y_1 - 9}{2}

Solve for each:

-4 = \frac{x_1 - 2}{2}

-4*2 = \frac{x_1 - 2}{2}*2

-8 = x_1 - 2

-8 + 2 = x_1 - 2 + 2

-6 = x_1

x_1 = -6

-5 = \frac{y_1 - 9}{2}

-5*2 = \frac{y_1 - 9}{2}*2

-10 = y_1 - 9

-10 + 9 = y_1 - 9 + 9

-1 = y_1

y_1 = -1

Coordinates of endpoint B is (-6, -1)

b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.

4 0
3 years ago
School A and B are competing in an academic contest. at the beginning of the final round, school A has 174 points and school B h
zhenek [66]

Answer:

Step-by-step explanation:

First add 11 then -69

4 0
3 years ago
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A line passes through (3, -2) and (6,2), Write an equation for the line in point-slope form.
Harrizon [31]

y+2=4/3(x-3)

4x-3y=18

6 0
3 years ago
A sequence starts 0, 5,
Rudiy27
10, 15, 20, 25, 30.... and so on
8 0
3 years ago
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