Someone help please. Its algebra 1.

Select the equation of a line in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3.

A. y= -2x +2
B. y= -2x -2
C. y= 1/2x -2
D. y= 1/2x +2​

Answers

Answer 1

Answer:

B

Step-by-step explanation:

the line is perpendicular to y=1/2x-3

so its gradient, m, would be -2 (m¹m²= -1)

sub the coordinates and the gradient into this equation to find the equation of line in slope intercept form

y-y¹ = m(x-x¹)

Answer 2

The equation of the line  in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Point (-2,2)

Then the equation of a line perpendicular to the graph of y= 1/2x-3.

its gradient, m, would be; -2 (m¹m²= -1)

Now Write the equation as;

y-y₁ = m(x-x₁)

y - 2= -2(x + 2)

y = -2x - 2

Hence, the equation of the line  in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2

Learn more about equations here;

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The number of animals at the is shown in the table. Write a ratio to represent giraffes to otters.

Answers

Answer:

The ratio of giraffes to otters is 8:16. If simplified it's 1:2

Step-by-step explanation:

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Determine whether cach point lies on the graph of the line y = 4.6x -7.

H(0, -7) ​

Answers

Answer:

Point H does lie on the graph y = 4.6x - 7

Step-by-step explanation:

Step 1: Define

y = 4.6x - 7

H(0, -7)

Step 2: Substitute, Evaluate, and Check

-7 = 4.6(0) - 7

-7 = 0 - 7

-7 = -7

Answer:

H(0,-7) does lie on the graph of line y = 4.6x - 7

Step-by-step explanation:

All you have to do is simply plug in the x and y values.

From the point H (0,-7) we can say that

x = 0

y = -7

Now just plug it into the equation.

y = 4.6x - 7

(-7) = 4.6(0) - 7

-7 = -7

Since -7 does equal -7, the point H is on the line of y = 4.6x - 7.

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

the diagnols are congruent meaning that the diagnol lines in the middle are the same length. So theoretically the left and right lengths are the same, and the top and bottom lengths are the same. The triagles named both have the same base and they're hieght is sbviouysly the same so they would be SSS each of the sides on one triangle coresspondes to the other.

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The double number line shows the approximate number of ounces in a certain number of pounds:

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Group of answer choices
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Answers

Answer:

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Step-by-Step Explanation:

I did it before and I was rite, so trust me

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

6. -62/289 or -0.249135

Explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

2z = 2 groups of z

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Answers

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

L.B Johnson middle school held a track and field event

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Answers

Answer:

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Step-by-step explanation:

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y₁ - y coordinate

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Answers

Answer:

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Step-by-step explanation:


6 = m - 16


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Answers

Answer:

c

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:


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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer: 5

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Answer:

5 = c

Step-by-step explanation:

pythagorean theorem is simply a^2 + b^2 = c^2

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Answers

Answer:

The number of tickets for sale at $26 should be 3300

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Step-by-step explanation:

Use 2 equations to represent the modifiers within the problem:

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Answers

Answer:

∠5 = 70°

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Step-by-step explanation:

Since ∠5 and ∠1 are equal they will both equal 70°

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Answers

Answer:

17x−4

Step-by-step explanation:

Let's simplify step-by-step.

5+8x−3+9x−6

=5+8x+−3+9x+−6

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Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP

Answers

Answer:

(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]

(2) [tex]3x + 2y\leq[/tex] 24

(3) [tex]x+4y\leq 28[/tex]

Step-by-step explanation:

Let x and y be the numbers of rockers and swivels made by Ethan.

(1) Since the number of chairs can't be negative. So,

x\geq0 and y\geq 0 are the two constraints.

(2) He can work a maximum of 24 hours.

The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.

So, the time required to make x rocker chair = 3x hr

and the time required to make y swivel chair = 2y hr.

The total time required is  3x + 2y hr which can't be more than the available time, 24 hr.

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[tex]3x + 2y\leq 24[/tex]

(3) Similarly,

As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.

So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.

So, the required constraint is

[tex]2x + 8y\leq 56[/tex]

[tex]\Rightarrow x+4y\leq 28.[/tex]

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