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3 years ago

What is parallel to 2x-y=1 and contains (4, -6)? Please show your work!

1 answer:

5 0

$k:\ y=m_1x+b_1\\\\l:\ y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\\text{We have}\\\\k:\ 2x-y=1\ \ \ |-2x\\-y=-2x+1\ \ \ \ |\cdot(-1)\\y=2x-1\to m_1=2\\\\l:\ y=m_2x+b\\\\l\ ||\ k\iff m_2=2\\\\l:\ y=2x+b\\\\\text{The line l contains (4, -6)}\\\\\text{Put the values of coordinates to the equation of line l}\\\\-6=2(4)+b\\-6=8+b\ \ \ \ \ |-8\\b=-14\\\\Answer:\ y=2x-14\to 2x-y=14$

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58. 122. 61. None of the choices are correct

In-s [12.5K]

Answer:

C. 61

Step-by-step explanation:

Two sides are equal, so the triangle is an isosceles triangle.

Both base angles are equal.

Angles in a triangle add up to 180 degrees.

58 + x + x = 180

58 + 2x = 180

2x = 122

x = 61

8 0

3 years ago

A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 student

yan [13]

Answer:

The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the difference between population means is:

$CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}$

The information provided is as follows:

$n_{1}= 138\\n_{2}=156\\\bar x_{1}=61\\\bar x_{2}=64.6\\\sigma_{1}=18.53\\\sigma_{2}=13.43$

The critical value of <em>z</em> for 98% confidence level is,

$z_{\alpha/2}=z_{0.02/2}=2.326$

Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:

$CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}$

$=(61-64.6)\pm 2.326\times\sqrt{\frac{(18.53)^{2}}{138}+\frac{(13.43)^{2}}{156}}\\\\=-3.6\pm 4.4404\\\\=(-8.0404, 0.8404)\\\\\approx (-8.04, 0.84)$

Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

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3 years ago

Help please inscribe angles

gladu [14]

Answer:

278°

Step-by-step explanation:

m arc BAC = 360 -(2×41)

= 360 - 82 = 278°

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3 years ago

Angie bought 3 1/2 pounds of apples to make a pie. There are 16 ounces in one pound. How many ounces of apples did she buy?

pantera1 [17]

Answer:

56 ounces

Step-by-step explanation:

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3 years ago

Is 0.4 kilometers and ,0.25 kilometers more than a kilometer

sergeinik [125]

No, 0.4 kilometers and 0.25 kilometers are not more than a kilometer instead, they are 400 meters and 250 meters

4 0

3 years ago

Read 2 more answers