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3 years ago

10

How do you solve this equation? 5y+9=2x

2 answers:

sweet [91]3 years ago

7 0

Let's solve for x.<span><span><span>5y</span>+9</span>=<span>2x</span></span>Step 1: Flip the equation.<span><span>2x</span>=<span><span>5y</span>+9</span></span>Step 2: Divide both sides by 2.<span><span><span>2x/</span>2</span>=<span><span><span>5y</span>+9/</span>2</span></span><span>x=<span><span><span>5/2</span>y</span>+<span>9/2</span></span></span>Answer:<span>x=<span><span><span>5/2</span>y</span>+<span>9/<span>2</span></span></span></span>

Art [367]3 years ago

4 0

Are we solving for x or y?

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The question is shown in the picture

Masteriza [31]

20 + 25(times the number of hours) = 282.50
You add the 20 because of the one time service fee.

Now lets work this out.
20 + 25x =282.50
25x = 262.50 (subtract both sides by 2 to get the x's alone)
x = 10.5 (divide both sides by 25 to get just x)
x = 10.5 hours

So the answer is A.

3 0

3 years ago

Read 2 more answers

Solve the equation : <br><img src="https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20-%20%20%5Csin%28x%29%20%20%3D%20%20%5Csqrt%7B2%20%

Debora [2.8K]

Answer:

General solution is

$x = n \pi + \frac{\pi }{8}$

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

$\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }$

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b) $cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }$

<u><em>Step(ii):-</em></u>

<u><em></em></u> $\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }$ <u><em></em></u>

$cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x$

$cos (\frac{\pi }{4}+x ) = cos 3 x$

<u><em>Step(iii):-</em></u>

<u><em>General solution of cos x = cos ∝ is x = 2 nπ+∝</em></u>

<u><em>we have </em></u> $cos (\frac{\pi }{4}+x ) = cos 3 x$

The general solution of $cos (\frac{\pi }{4}+x ) = cos 3 x$ is

⇒ $3 x = 2 n \pi + (\frac{\pi }{4}+x )$

⇒ $3 x- x = 2 n \pi + \frac{\pi }{4}$

$2x = 2 n \pi + \frac{\pi }{4}$

<em><u>final answer</u></em>:-

General solution is

$x = n \pi + \frac{\pi }{8}$

8 0

3 years ago

Use the Pythagorean theorem to find the distance between the two points ANB round your answer to the nearest hundredth

jek_recluse [69]

Answer:

5.39 units

Step-by-step explanation:

Pythagorean theorem: $a^{2} + b^{2} = c^{2}$

Let point (-2,1) be C

Line segment AC would be 2 units long.

Line segment BC would be 5 units long.

Insert the length of the line segments in to the Pythagorean theorem

$2^{2} + 5^{2}$

4 + 25 = 29

$\sqrt{29}$ ≅ 5.385

6 0

3 years ago

I need help on number 3 please

Misha Larkins [42]

Answer:

$\large\boxed{x=10}\\\\\boxed{40^o,\ 50^o,\ 90^o}$

Step-by-step explanation:

We have the right triangle. The sum of the angles measured in the right triangle is 90 °. Therefore we have the equation:

$4x+(6x-10)=90[/tex][tex]4x+6x-10=90$ <em> add 10 to both sides</em>

$10x=100$ <em>divide both sides by 10</em>

$x=10$

The measure of angles:

Put the value of x to the eqpressions:

$6x-10\to6(10)-10=60-10=50\\\\4x\to4(10)=40$

5 0

3 years ago

Write the fraction as a percent 9/100

viktelen [127]

The answer is 9% because

1% is 1/100 so it is 1 out of 1 hundred

and 9 out of 1 hundred is in simplified form

7 0

3 years ago

Read 2 more answers