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3 years ago

Y=9x+7,y=3x-11 i need to solve theeqayions by substition and show the work

Mathematics

1 answer:

djyliett [7]3 years ago

4 0

Times the second equation by 2 to get y=9x-33 and then subtract

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A) 5y +32=72<br> B) K/2+24=29

iren [92.7K]

Step-by-step explanation:

A)y=8

B)k=10

5y=72-32

5y=40

y=8

1/2k+24=29

k+48=58

k=58-48

k=10

3 0

3 years ago

Chapter 6, Section 1-D, Exercise 009 Is a Normal Distribution Appropriate? In each case below, is the sample size large enough s

Xelga [282]

Answer:

Step-by-step explanation:

Complete Question:

Chapter 6, Section 1-D, Exercise 009 Is a Normal Distribution Appropriate? In each case below, is the sample size large enough so that the sample proportions follow a normal distribution?

a) n=600 p=0.2

b) n=20, p=0.4

if np=10 and npq=10 then the data follows normal distribution

a) np= 120,

q= 1-0.2= 0.8

npq= 600 ×0.2×0.4 = 48

Normal distribution is appropriate and sample size is large enough

b) np= 8

q= 1-0.4= 0.6

npq= 20 × 0.4×0.6= 4.8

sample size is not large enough so normal distribution is not appropriate.

4 0

3 years ago

Highschool level trigonometry!!! Need help knowing step by step how to find answer!

Goshia [24]

Answer:

$\theta \approx 82.34^\circ$

Step-by-step explanation:

Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)

So, we want to find θ.

Since we formed a right triangle, we can use right triangle ratios.

We know the measure of the adjacent side to θ and the hypotenuse.

Therefore, we will use the cosine ratio:

$\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$

The adjacent side is 2 and the hypotenuse is 15. By substitution:

$\displaystyle \cos(\theta)=\frac{2}{15}$

Now, we will take the inverse cosine of both sides. So:

$\displaystyle \theta=\cos^{-1}\Big(\frac{2}{15}\Big)$

Use a calculator. Hence:

$\theta \approx 82.34^\circ$

The angle between the ground and the ladder is about 82.34°.

5 0

3 years ago

Which statement about the dilation of these triangles is true?

Arisa [49]

The scale factor is 7

7 0

3 years ago

Find the quotient:<br> -35x3-10x<br> 5x

miv72 [106K]

The quotient if the equation is x3

5 0

2 years ago

Read 2 more answers