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ivanzaharov [21]
4 years ago
11

Hi im stuck on this problem, is anybody able explain to me how to do it? This is Two-Variable Substitution

Mathematics
1 answer:
Free_Kalibri [48]4 years ago
6 0
The answer is a. the first step is to divide the whole bottom equation by -1 because x can’t be negative. you then plug in y + 9 into the first equation to solve. so the equation would be (y + 9) + y = 11. you do this because in substitution you plug in one of the equations into the other equation. you then get 2y + 9= 11. you would next subtract 9 to both sides which leaves you with 2y= 2, divide by both sides, y = 1. you then plug the why value into the first equation to figure out the value for x. so it would be x + 1 = 11, subtract 1, x equals 10.

sorry this was hard to explain! hope this helps!
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If x = 3, then x^2 = 3x what property
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8 0
3 years ago
Nolan rides his bike 63 miles in 270 minutes. What is his average speed in miles per hour?
boyakko [2]
Here, to find the average rate of change, you would simply divide 270 by 63. And when that is done, you would get a long decimal. 4.285714285714286

And since you obviously can't put in such a long decimal as your answer, you would round it instead. Once rounded, you would end up with 4.29 (because the number after 8 is five, which rounds up, which would turn the 8 to 9.)
8 0
3 years ago
Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec
expeople1 [14]

Answer:

cot x = \frac{cos x}{sin x}

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

sin^2 x + cos^2 x =1

Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

csc x -sin x + sin x = csc x

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

cos x cot x + sin x

We know from math properties that the definition for cot is cot x = \frac{cos x}{sin x}

If we use this definition we got:

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

Now we can use the following identity:

sin^2 x + cos^2 x =1

Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

csc x -sin x + sin x = csc x

And then the best option for this case would be:

b.csc x

4 0
4 years ago
Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in
Svetllana [295]

Answer: If the time is 3 1/2 years (most reasonable assumption)

Her initial deposit was $160

Step-by-step explanation:  The basic formula for simple interest is

<em>i = prt  i </em>is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.

For this question, you have to rearrange the equation to solve for p.

So divide both sides by rt and you have

p =  i/rt

Substitute the values given

p = 36.40/(0.065)(3.5)

8 0
4 years ago
Find the value of x <br> 5x+15+6x-10=180
lana [24]

Combine the common factors.

11x + 5 = 180

Subtract 5 from both sides.

11x = 175

Divide 11 from both sides to isolate the x.

x = 15.90909091

4 0
3 years ago
Read 2 more answers
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