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mars1129 [50]
4 years ago
7

X^2-4x+4=9 solve the equation using square roots​

Mathematics
1 answer:
hjlf4 years ago
6 0

Answer: X=5 or X=-1

Step-by-step explanation:

Use the method complete the square.

1. Subtract 4 from both sides.

X^2-4x+4-4=9-4

Find what value added to both sides of the equation will make the equation on the left a perfect square trinomial.

(B/2)^2

-4/2=-2   (-2)^2 = 4

2.Add 4 to both sides.

X^2-4x + 4= 5+4

3.Factor

(x-2)^2=9

Solve for X

x-2= +or- 3

x=5 or x=-1

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Two shapes with equal perimeter are pictured below.
Radda [10]

Answer:

Measure of CD = 17 units

Step-by-step explanation:

Perimeter of a polygon = Sum of measures of all sides of the polygon

Perimeter of the given rectangle = 2(length + width)

                                                       = 2[(x + 3) + (2x - 1)]

                                                       = 2(3x + 2) units

Perimeter of triangle EFG = EF + FG + GE

                                           = (x - 7) + (4x - 8) + (3x + 1)

                                           = (8x - 14)

                                           = 2(4x - 7) units

Since, perimeters of both the figures are equal,

2(3x + 2) = 2(4x - 7)

3x + 2 = 4x - 7

4x - 3x = 7 + 2

x = 9

Measure of CD = (2x - 1)

                         = 2(9) - 1

                         = 17 units

6 0
3 years ago
NO LINKS AND HELP ME AND SHOW YOUR WORK PLEASE PLEASE​
cestrela7 [59]

Answer:

65

Step-by-step explanation:

5₁=5·5=25 (square area)

5₂=1/2·5·4=10  (triangle area)

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6 0
3 years ago
Ann is growing two different plants for a science project. Plant A grew 4/12 inch the first week and 2/12 inch the second week.
Galina-37 [17]
Start the number line from 0 and put divisions at 1/12. Then mark at 4/12 for plant A and indicate this was its growth in the first week. Then, make another mark up to 6/12 and indicate this was the plant's growth in the second week.
For plant B, make one mark at 7/12 and indicate that this is plant B's growth in the first week.

After two weeks, plant A has a height of 6/12 inches and plant B has a height of 7/12 inches, so B is taller.
8 0
3 years ago
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Nat2105 [25]

Answer:

The answer is 16

Step-by-step explanation:

If there is 2 pizzas and it is in eighths, then 2 times 8 equals 16. 16 pieces of 1/8 slices.

7 0
3 years ago
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