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riadik2000 [5.3K]
3 years ago
15

Write the function in vertex form. y=-x^2-8x-9

Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

y = -(x+4)² +7

Step-by-step explanation:

I find it convenient to factor the leading minus sign from the first two terms, then work with what's left.

... y = -(x² +8x) -9

Now, add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.

... y = -(x² +8x +4²) -9 +4²

... y = -(x +4)² +7 . . . . . . . . . rewrite parentheses as a square; collect terms

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kherson [118]

Answer:

- 7

Step-by-step explanation:

6(- x - 3) = 24

-6x - 18 = 24

-6x = 24 + 18

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x = 42 ÷ - 6

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5 0
3 years ago
I will give you 10B points plus mark someone again for the Brainliest if you get this right.
Musya8 [376]

Answer:

Option D is the correct answer

Step-by-step explanation:

(3 {m}^{ - 4} )^{3} (3 {m}^{5} ) \\  \\  =  {3}^{3}  {m}^{ - 4 \times 3}  \times 3 {m}^{5}  \\  \\  = 27 \times 3 \times  {m}^{ - 12 + 5}  \\  \\  = 81 {m}^{ - 7}  \\  \\  =  \frac{81}{ {m}^{7} }

8 0
4 years ago
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Solve for x in the triangle. Round your answer to the nearest tenth.
natta225 [31]

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given.  Side x is the "side adjacent to the angle" and is to be found.  The hypotenuse is 13.

The cosine function makes use of these three knowns:  the angle, the hypotenuse and the adjacent side.  Thus:

cos 65 degrees = adj / hyp = x / 13, or

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Evaluating this on a calculator, we get  x = 5.49, or x = 5.5 to the nearest tenth.

5 0
3 years ago
Find each percent change 40 to 2
Nostrana [21]

The question we need to ask is what percent of 2 is 40?

40 is 20 times 2 so 20 would be 2,000%

We need to subract 100% from any percent change:

2,000% - 100% = 1,900%

ANSWER: 1,900%

3 0
3 years ago
Pls answer A,B,and C. Pls tell me the correct answer for each part and explain how you got the answer.(step by step)
Nady [450]
A). The area of the shaded triangle is 64cm. This is because the formula for the area of a triangle is (b x h) / 2, and the base of this triangle is 16, and the height is 8. So, 16 x 8 is 128, and 128 / 2 = 64. The area is 64cm.
B). The area of each white triangle is 32cm because we can see that the two white triangles is equal to half of the shaded triangle, so we can take the base of the shaded triangle and divide it in two. Then we can use the formula for the area of a triangle and solve for the area: (b x h) / 2 = (8 x 8) / 2 = 32. The area of one of the white triangles is 32cm.
C). Since we have solved for the area of each of the triangles, we can add up all of these individual areas to get the area for the rectangle: White triangle + white triangle + shaded triangle = 32 + 32 + 64, which is equal to 128cm, the area of the rectangle.
4 0
3 years ago
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