All categories

3 years ago

Write an equation for the line parallel to y= -2x+1 that contains (-2,5)

Mathematics

1 answer:

grin007 [14]3 years ago

5 0

Answer:

y = - 2x + 1

Step-by-step explanation:

Parallels line have the same slope, when an equation is in the form y= mx + b, m is the slope. In this problem slope = - 2

Now with the slope what is missing is the y-intercept, the problem says that the line contains the point (-2, 5), replacing that point in the equation you can solve it to find the y-intercept

y = mx + b

5 = (-2)(-2) + b

5 = 4 + b

1 + b

y = - 2x +1

You might be interested in

Suppose 40% of DC area adults have traveled outside of the United States. Nardole wants to know if his customers are atypical in

Sonbull [250]

Answer:

We conclude that % of DC area adults who have traveled outside of the United States is different from 40%.

Step-by-step explanation:

We are given that 40% of DC area adults have traveled outside of the United States. Nardole wants to know if his customers are typical in this respect. He surveys 40 customers and finds 60% have traveled outside of the U.S.

We have to test is this result a statistically significant difference.

Let p = % of DC area adults who have traveled outside of the United States

SO, Null Hypothesis, $H_0$ : p = 40% {means that 40% of DC area adults have traveled outside of the United States}

Alternate Hypothesis, $H_a$ : p $\neq$ 40% {means that % of DC area adults who have traveled outside of the United States is different from 40%}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = % of customers who have traveled outside of the United States

in a survey of 40 customers = 60%

n = sample of customers = 40

So, test statistics = $\frac{0.60-0.40}{\sqrt{\frac{0.60(1-0.60)}{40} } }$

= 2.582

Since in the question we are not given with the significance level so we assume it to be 5%. So, at 0.05 level of significance, the z table gives critical value of 1.96 for two-tailed test. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject null hypothesis as it will fall in the rejection region.

Therefore, we conclude that % of DC area adults who have traveled outside of the United States is different from 40%.

7 0

3 years ago

A particle moves along line segments from the origin to the points (2, 0, 0), (2, 3, 1), (0, 3, 1), and back to the origin under

sweet [91]

Answer: Work done by the particle is 78 N.

Step-by-step explanation:

If C is the path the particle follows, then work done is $\int_{C}^{}F.dx$ .

According to the question the force $F=z^{2}i+5xyj+4y^2k$ and all four points are in the plane $z=\frac{1}{4}y$ .

therefore, if S is the at surface with boundary C, so that S is the portion of the plane $z=\frac{1}{4}y$ over the rectangle D=[0,2]\times [0,4].

Now,

$curlF=\begin{vmatrix}i &j &k \\ \frac{\partial }{\partial x}&\frac{\partial }{\partial y} &\frac{\partial }{\partial z} \\ z^{2}&5xy &4y^{2} \end{vmatrix}=8yi+2zj+5yk$

By the Stoke's theorem:

$\int_{C}^{}F.dx=\iint_{s}^{}curlF.dS\\\\=\iint_{D}^{}[-8y(0)-2z\left ( \frac{1}{4} \right )+5y]dA\\\\=\iint_{D}^{}\left ( -\frac{1}{2}z+5y \right )dA$

$=\iint_{D}^{}\left ( \frac{39}{8}y \right )dA\, \, \, \, \, \, \, \, \, Since\, \, z=\frac{1}{4}y\\\\=\int_{0}^{2}\int_{0}^{4}\frac{39}{8}y\, \, \, dy\, dx\\\\$

$\int_{0}^{2}\left [ \frac{39}{16}y^2 \right ]_{0}^{4}dx\\\\=\int_{0}^{2}39\, \, dx\\\\=39\times 2\\\\=78 \, N$

8 0

4 years ago

My cell phone charges me $100 to register and then $0.10 per minute. How much will I be charged for 55 minutes? explain why this

Arlecino [84]

Answer:

You will be charged $5.5 in 55 minutes.

Step-by-step explanation:

Just multiply 0.10 by 55 and you get $5.5 dollars.

And no I don't think this is a Linear equation. Its not a linear equation because you have to set up a ratio to figure this out. Not a whole equation. So, Its more like a ratio

8 0

3 years ago

Free 100 points if u know what dis is

kvasek [131]

Answer:

This is a picture of You

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A company had 488 customers. Only 50% of the company's customers bought makeup. Only 50% of the customers that bought makeup sai

Hunter-Best [27]

Answer:

1. 244

2. 122

3. 61

Step-by-step explanation:

1. 244 because I divided 488 by 2.

2. Divide 244 by 2.

2. Divide 122 by 2.

5 0

3 years ago

Read 2 more answers