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2 years ago

What is 3x+5 = 2x+11

1 answer:

4 0

Answer: x = 6

1. Subtract “2x” on both sides. This simplifies the equation to x+5=11

2. Subtract “5” on both sides. This simplifies to x=6, which is your answer.

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Solve for x and y help a girl out besties <3

RoseWind [281]

I’ll help a girl out

Y= 25
X=65

Because a triangle always has a total of 180 degrees.
Y and the 25 degrees are the same because I honestly forgot but trust. And the square means that the angle is 90 degrees so 90+25=115 and to get x you do 180-115=65.
I hope this was the right answer lol

6 0

2 years ago

Select the two statements that are true about the equation y+6=−10(x−3).

qwelly [4]

I have taken that test (although I don't see you're statements)

I believe the statements to choose from are:

A.) The slope of the line is −10.

B.) The slope of the line is 3.

C.) One point on the line is (3, 6).

D.) One point on the line is (3,−6)

The answers are:

A.) The slope of the line is -10

D.) One point on the line is (3,-6)

Explanation:

The given equation of line is (1). The point slope form of a line is (2) Where m is the slope of line and (x₁,y₁) are points. On comparing (1) and (2) we get The slope of given line is -10 and the line passing through the points (3,-6).

6 0

2 years ago

Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Solution:

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

2 years ago

In the United States nearly 8 x 10^9 text messages are sent everymonth About how many text messages is this! Find the primefacto

iris [78.8K]

$8\times10^9=2^{12}\times5^9$

1) Since in the USA 8 x 10 ^9 messages are sent every month, that means that approximately 8 billion messages are sent.

2) We can Prime factorize it:

Note that on the right side we've picked only prime numbers. In this case, 2 and 5.

So we can rewrite 8 x 10^9 as prime factors.

$8\times10^9=2^{12}\times5^9$

3) Hence, the answer is:

$8\times10^9=2^{12}\times5^9$

7 0

10 months ago

How do you tell a triangle is not a right triangle

garri49 [273]

You can tell when you cant draw an even L shaped figure at the intersects of the bottom and the side. 90 degrees. But there are many different ways that may make more sense. Happy to help:)

7 0

2 years ago

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