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3 years ago

Rewrite each equation below so that it is solved for y.

Mathematics

1 answer:

Stels [109]3 years ago

5 0

Answer:

a) y=1/3x-2

b) y=1/5x+2

c) y= $\sqrt{x}$

Step-by-step explanation:

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Is 7/8 greater than or less than 2/5

belka [17]

Answer:

7/8 > 2/5

Step-by-step explanation:

7/8 is greater than 2/5.

5 0

3 years ago

Math help Please!!!!

GalinKa [24]

Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?

Rewrite the equation −2y=3x+7 in the form $y=-\dfrac{3}{2}x-\dfrac{7}{2}.$ Here the slope of the given line is $m_1=-\dfrac{3}{2}.$ If $m_2$ is the slope of perpendicular line, then

$m_1\cdot m_2=-1,\\ \\m_2=-\dfrac{1}{m_1}=\dfrac{2}{3}.$

Answer 1: $\dfrac{2}{3}$

Part B. The slope of the line y=−2x+3 is -2. Since $-\dfrac{3}{2}\neq -2\quad \text{and}\quad \dfrac{2}{3}\neq -2,$ then lines from part A are not parallel to line a.

Since $-2\cdot \left(-\dfrac{3}{2}\right)=3\neq -1\quad \text{and}\quad -2\cdot \dfrac{2}{3}=-\dfrac{4}{3}\neq -1,$ both lines are not perpendicular to line a.

Answer 2: Neither parallel nor perpendicular to line a

Part C. The line parallel to the line 2x+5y=10 has the equation 2x+5y=b. This line passes through the point (5,-4), then

2·5+5·(-4)=b,

10-20=b,

b=-10.

Answer 3: 2x+5y=-10.

Part D. The slope of the line $y=\dfrac{x}{4}+5$ is $\dfrac{1}{4}.$ Then the slope of perpendicular line is -4 and the equation of the perpendicular line is y=-4x+b. This line passes through the point (2,7), then

7=-4·2+b,

b=7+8,

b=15.

Answer 4: y=-4x+15.

Part E. Consider vectors $\vec{p}_1=(-c-0,0-(-d))=(-c,d)\quad \text{and}\quad \vec{p}_2=(0-b,a-0)=(-b,a).$ These vectors are collinear, then

$\dfrac{-c}{-b}=\dfrac{d}{a},\quad \text{or}\quad -\dfrac{a}{b}=-\dfrac{d}{c}.$

Answer 5: $-\dfrac{a}{b}=-\dfrac{d}{c}.$

5 0

3 years ago

Read 2 more answers

Kelly is having a party. She wants to make punch. The recipe for punch uses 3 pints of pineapple juice, 5 cups or orange juice,

Maurinko [17]

No, because if you add it up all together her recipe does not call for 20 cups.

8 0

3 years ago

A freight train rumbles by as bob watches. Each freight container on the train is shaped like a rectangular prism 17 meters long

Genrish500 [490]

Answer:

The answer is 153

Step-by-step explanation:

You multiply 17 by 3 by 3.

7 0

3 years ago

Ms. McNeil buys 2.4 gallons of gasoline. the total cost is $7.56. Write and solve an equation to find the price p in dollars of

tino4ka555 [31]

If you know the whole price for 2.4 gallons, divide the whole price by 2.4 to get the cost for one, because when you multiply the cost for 1 by 2.4, you get the total.

7.56/2.4 = 3.15,

p= 3.15

6 0

3 years ago