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elena-s [515]
3 years ago
14

Which expression is equivalent to C^2-4/c+3 divided by c+2/3(c^2-9)

Mathematics
1 answer:
faltersainse [42]3 years ago
8 0

\frac{ {c}^{2} - 4 }{c + 3}  \times  \frac{3( {c}^{2} - 9 )}{c + 2}
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Factorise x squared + 12 x + 35
Ksenya-84 [330]
5 and 7 add to make 12 and multiply to make 35 so those are the numbers that will be used:
(x+5)(x+7)

Hope this helps :)
5 0
4 years ago
Create trig ratios to solve for the variables . ROUND YOUR ANSWER to ONE decimal place.
kobusy [5.1K]

Answer:

\huge\boxed{x=12sin80=11.8}\\\huge\boxed{y=12cos80=2.1}

Step-by-step explanation:

Because sine = opposite over hypotenuse, simply multiply both sides by the hypotenuse to get:

hypotenuse * sinθ = opposite

Do the same thing with cos to get:

hypotenuse * cosθ = adjacent

Hope it helps :) and let me know if you want me to elaborate.

4 0
3 years ago
What sides are the Adjacent, Hypotenuse, Opposite?
devlian [24]

9514 1404 393

Answer:

  • sin(Z) = 9/15 = 3/5
  • cos(Z) = 12/15 = 4/5

Step-by-step explanation:

The hypotenuse is the longest side, XZ (15). It is opposite the right angle (Y).

The segments adjacent to Z are the ones with Z in their name: ZX and ZY. When we talk about the "side" or "leg" adjacent to Z, we are usually not interested in the hypotenuse ZX. We refer to that as the "hypotenuse." So, the side or leg "adjacent" to Z is ZY, of length 12.

The segment opposite to Z is the one that does not have Z in its name: XY.

  sin(Z) = Opposite/Hypotenuse = XY/XZ = 9/15 = 3/5

  cos(Z) = Adjacent/Hypotenuse = YZ/XZ = 12/15 = 4/5

5 0
3 years ago
A football is kicked at 40 yards away from a goal post that is 10 feet high. Its path is modeled by y = -0.03x 2 + 1.6x, where x
iren2701 [21]

Answer:

The football is going to go over the goal post.  It will clear the goal post by (16-10)  6 ft

Step-by-step explanation:

y = -0.03x^2 + 1.6x

Let x = 40

We need to determine if y> 10

y = -0.03(40)^2  + 1.6(40)

y = -48+64

y =16


Since 16>10

The football is going to go over the goal post.  It will clear the goal post by (16-10)  6 ft

6 0
3 years ago
Read 2 more answers
The supplement of an angle is four and a half times as large as the complement of the angle. What is the measure of the compleme
katovenus [111]

Answer:

25.71°

-by-step explanation:

.

7 0
3 years ago
Read 2 more answers
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