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pav-90 [236]
2 years ago
6

What is the solution to the system of equations? y=2x-7 y=-x+5

Mathematics
1 answer:
exis [7]2 years ago
3 0

Answer:

(4, 1 )

Step-by-step explanation:

y = 2x - 7 → (1)

y = - x + 5 → (2)

substitute y = 2x - 7 into (2)

2x - 7 = - x + 5 ( add x to both sides )

3x - 7 = 5 ( add 7 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

substitute x = 4 into either of the 2 equations

substituting into (2)

y = - 4 + 5 = 1

solution is (4, 1 )

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Find the volume of the cylinder in terms of pi.
Allushta [10]

Answer:

\large\boxed{V=81\pi\ in^3}

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

H - height

We have r = 3in and H = 9in. Substitue:

V=\pi(3^2)(9)=\pi(9)(9)=81\pi\ in^3

5 0
3 years ago
Which of the following points lies on the graph of y = 3x-5
andreyandreev [35.5K]

Answer:

(4,7)

Step-by-step explanation:

I have attached what the graph looks like below.

Looking at it, you will see the point (4,7) lies on the graph.

So the answer is 2)

6 0
2 years ago
Mitch ordered several baseball hats for 12.65 each and paid $3.99 for shipping. If Mitch spent a total of $130.49, how many base
jek_recluse [69]

Answer:

10

Step-by-step explanation:

Price of baseball hats without shipping = $130.49 - $3.99 = $126.50

Number of baseball hats he ordered: $126.50 ÷ $12.65 = 10

5 0
3 years ago
Express f(x) = 3 cos x + 5 sin x as Rsin(x + o), where e<br>is an acute angle in radians.​
Andrews [41]

Answer:

<h2>√34sin(x + 0.33π)</h2>

Step-by-step explanation:

The general form of the equation acosx + bsinx = Rsin(x + e) where R is the resultant of the constants 'a' and 'b' and e is the angle between them.

R = √a²+b²

e = tan^{-1}\frac{b}{a}

Given the function f(x) = 3 cos x + 5 sin x, comparing with the general equation;

a = 3, b = 5

R = √3²+5²

R = √9+25

R =√34

e = tan^{-1} \frac{5}{3} \\e = 59.09^{0}

in radians;

e =\frac{\pi }{180}*59.09\\ e = 0.33\pi rad

3 cos x + 5 sin x = √34sin(x + 0.33π)

4 0
3 years ago
How much must you add to -12 to get greater than 5
pav-90 [236]
At least 15 b/c is you add QWERTY to -12, you get zero and adding 5 to get 15 in total.
7 0
3 years ago
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