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Lerok [7]
3 years ago
13

Help I need it badly!! first answer brainliest!

Mathematics
1 answer:
borishaifa [10]3 years ago
7 0
The answer is #1, #6, and #8.

First, let's solve for x.
2/3(6x + 12) = -24
4x + 8 = -24
4x = -32
x = -8.
Answer #1 is correct because that equation was one of the steps in our problem. Also, #6 and #8 is correct using the same logic. Therefore, we can cross out #2, #3, and #4, since #3 and #4 have the same answer which is wrong.


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Verify the identity. cot(x - pi/2) = -tan(x)
gizmo_the_mogwai [7]

Answer:

See below.

Step-by-step explanation:

\cot(x-\frac{\pi}{2})=-\tan(x)

Convert the cotangent to cosine over sine:

\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)

Use the cofunction identities. The cofunction identities are:

\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)

To convert this, factor out a negative one from the cosine and sine.

\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)

8 0
3 years ago
An astronomer has discovered a new planetoid about
IRINA_888 [86]

Answer:

the answer is C) 4.6

Step-by-step explanation:

4 0
2 years ago
*EXTRA PTS* answer #2 - #5
TiliK225 [7]

Answer:

2. 2N

3. -4N

4. 4N

5. 7N

Step-by-step explanation:

4 0
2 years ago
A^2-a+12=0 I need the roots
kumpel [21]

Answer:

a = 1/2 (1 ±sqrt(47))

Step-by-step explanation:

a^2-a+12=0

We will complete the square

Subtract 12 from each side

a^2-a+12-12=0-12

a^2-a=-12

The coefficient of a = -1

-Divide by 2 and then square it

(-1/2) ^2 = 1/4

Add it to each side

a^2 -a +1/4=-12 +1/4

(a-1/2)^2 = -11 3/4

(a-1/2)^2= -47/4

Take the square root of each side

sqrt((a-1/2)^2) =sqrt(-47/4)

a-1/2 = ±i sqrt(1/4) sqrt(47)

a-1/2= ±i/2 sqrt(47)

Add 1/2 to each side

a-1/2+1/2 = 1/2± i/2 sqrt(47)

a =  1/2± i/2 sqrt(47)

a = 1/2 (1 ±sqrt(47))

8 0
2 years ago
What is the number in standard form?<br><br> 4.9×10^8
belka [17]

In order to get the answer to this question you have to remember that if the exponent is positive you need to move to the right, and if the exponent is negative you got to move to the left.

  • 4.9\times10^8
  • Positive so move to the right 8 times....
  • 4.9\times10^8 = 490000000.
  • = 490000000.

Therefore the answer is "490000000."

Hope this helps!

Nonportrit

6 0
2 years ago
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