Give the equation of the line, perpendicular to the line with equation y=2x+1, that passes
through the point (8,-2)

Write an equation in slope-intercept form for the line that passes through (6,- 3) and is parallel to y = -2x + 4.

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Parallel lines are lines with the same slope but different y-intercept.

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept.

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The given line is y=-2x+4. A line parallel to this would have the same slope, which is -2. To find the y-intercept, plug the point into an equation in point-slope form.

[tex]\displaystyle \text{Point-Slope Form} \rightarrow y-y_{1}=m(x-x_{1})[/tex]

m is the slope, and since the slope is the same as the given line, m will be equal to 2.

The line is supposed to pass through a point, which is written as (x, y). In this line, it is supposed to pass (6, -3). x₁ will be the x value of the point, and y₁ will be the y value of the point. That means x₁ is 6 and y₁ is -3.

Substitute the values into the formula:

[tex]y-y_{1}=m(x-x_{1}) \rightarrow y-(-3)=2(x-6)[/tex]

When subtracting a negative number from a number or variable, the sign will change, and the number will become positive.

[tex]y-(-3)=y+3[/tex]

Here is the new equation:

[tex]y-3=2(x-6)[/tex]

Distribute the 2 to everything in the parentheses. It will be 2 times x and 2 times -6. Remember that a positive number multiplied by a negative number is negative.

[tex]2 \times x=2x\\2 \times -6=-12\\\\2(x-6)=2x-12[/tex]

Rewrite the equation:

[tex]y-3=2x-12[/tex]

Lastly, you need to move -3 to the other side, as slope-intercept form is written as y=mx+b. You can move it by adding three(+3) to both sides, which is simply doing the opposite of it(-3+3=0).

[tex]\displaystyle y-3+3=2x-12+3[/tex]

[tex]y=2x-9[/tex]

The answer to your question is [tex]\bf \displaystyle y=2x-9[/tex].

Answer:

area=18

Step-by-step explanation:

draw a dotted line so it separates the top part from the bottom and then the area of the bottom part is 6x2 which is 12 and then the area of the top is 3x2 which is 6

6+12=18

Answer:

[tex]5\geq m[/tex] - put a closed dot on 5, then an arrow pointing to the left

Step-by-step explanation:

You have to solve the equation. After solving, you should end up with [tex]5\geq m[/tex]

Answer:

14

Step-by-step explanation:

Answer:

its -1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2 (1/9) + 2=

1/18 + 2=

2 1/18

Answer:

There's 15 cows and 35 chickens.

Step-by-step explanation:

Take 20 and multiply it by 2. The answer is 40. Then subtract 40 from 130. The answer will be 90. The cow has double the amount of legs than the  chicken, so the cow is equivalent to 2 chicken. Divide 90 by 3. The answer is 30. Then divide 30 by 2 the answer is 15. Add 15 and 20 and the answer is 35 chickens. Divide 30 by 2 and the answer is 15.

You will get 35 chicken and 15 cows as your answer. Happy Election Night, and I hope this helps! ;)

Answer:

the last one I think

Step-by-step explanation:

The vertex form of the quadratic equation is:

[tex]g(x) = (x + 1)^2 - 2[/tex]

And the graph can be seen at the end

For a quadratic equation with leading coefficient a, and with vertex (h, k), the vertex form is:

[tex]y = a*(x - h)^2 + k[/tex]

Here we have:

[tex]g(x) = x^2 + 2x - 1[/tex]

First, we need to find the vertex. by using the known formula we get:

[tex]h = -2/(2*1) = -1[/tex]

To get the value of k, we need to evaluate g(x) in x = -1.

[tex]g(-1) = (-1)^2 + 2*-1 - 1 = 1 - 2 - 1 = -2[/tex]

So the vertex is (-1, -2), which means that the vertex form is:

[tex]g(x) = (x + 1)^2 - 2[/tex]

And its graph can be seen below.

If you want to learn more about quadratic equations:

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Answer: 53

Step-by-step explanation:

Answer:

Auto repair labor rates vary widely across the country, and even within the same city. As of January 17, 2017, auto repair shops in the AAA Approved Auto Repair network charged between $47 and $215 per hour, based primarily on the shop's cost of doing business.

Answer:

-7/9 is less than -5/8.

Step-by-step explanation:

-5/8 in decimal form is -0.625.

-7/9 in decimal form is -0.777777778.

Answer:

SSS

Step-by-step explanation:

There is two given congruent angles

Answer:

The solution is x = −6.

Step-by-step explanation:

Answer:

2270 grams

Step-by-step explanation:

Answer:

5 pounds = 2267.96 grams

Answer:

a screw driver

Step-by-step explanation:

you can use an electric one if you want to.

Answer:

Allen key

Step-by-step explanation:

Answer:

Veggie soup

Step-by-step explanation:

Plz Mark as brainliest!!!

Answer:

[tex]x {}^{2} \times + 4x[/tex]

Step-by-step explanation:

[tex]f(x + 4) = (x + 4) {}^{2} - 3(x + 4) - 4 \\ = x {}^{2} + 8x + 16 - 3x - 12 - 4 \\ = x {}^{2} + 4x[/tex]

Answer:

The apricots are $2.24 less expensive per pound.

Step-by-step explanation:

To find the price per pound of each product divide the price Dorian by the number of pounds Dorian bought:

Almonds: 21.98 ÷ 2 = 10.99

Almonds cost $10.99 per pound.

Apricots: 26.25 ÷ 3 = 8.75

Apricots cost $8.75 per pound.

The apricots are less expensive per pound. To find how much less expensive they are compared to the almonds, subtract the cost of the apricots per pound from the cost of the almonds per pound:

10.99 - 8.75 = 2.24

The apricots cost $2.24 less per pound than the almonds do.

Answer:

Male: 22–31 lbs (10–14 kg), Female: 22–29 lbs (10–13 kg)

Step-by-step explanation:

Median tells the average weight. Like, what your corgi might weight.

The median tells us about the center level of all the weights.

The median is a statistical measure that represents the central value of a dataset when it is arranged in ascending or descending order. It is the value that separates the higher half of the data from the lower half.

From the given table, we can determine that the median weight of the Welsh corgis is 27.3. The median represents the middle value of a dataset when it is arranged in ascending or descending order.

In this case, it tells us that half of the Welsh corgis in the sample have weights below 27.3, and the other half have weights above 27.3.

So, the median tells us about the center level of all the weights.

Learn more about Median here:

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Answer:

2/2 divided by 1/3 becomes 2/2 * 3/1 by using keep change flip. 2/2 * 3 is 6.

Answer:

Y tends to increase as x increases: positive correlation

Step-by-step explanation:

Y tends to decrease as x increases: negative correlation.

Y does not change bases on changes in x: No correlation.

I

Answer:

Step-by-step explanation:

D

Answer:

B and D sorry

Step-by-step explanation:

Got it right on my test :)

Answer:

2 and 4

Step-by-step explanation:

Wish you a GREAT Thanksgiving :)

I hope this helps !! =)

a) A

b) 3

c) 1/3

d) 2

Answer:

The answer is d

Step-by-step explanation:

Because it can be combined in the equation

Answer:

Step-by-step explanation:

kx^2 + 6x + k = 0

k= 6x/x^2+1

(4x+2)(x-5)/2

(4 . 2 + 2)(2 - 5)/2

(8 + 2)(- 3)/2

10/2 . (- 3)

5 . (- 3)

- 15

Answer: - 15

Answer:

-15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(4x + 2)(x - 5) / 2

x = 2

Step 2: Evaluate

answer

(12, -1)

hope this helps :)

Answer:

(12,-1)

I got it right on my test

Answer:

The x-intercepts of the function are:

Step-by-step explanation:

As

[tex]( x + 2 ) ( x - 9 ) = 0[/tex]

so

Either

( x + 2 ) = 0

or  

( x - 9 ) = 0

solving ( x + 2 ) = 0

[tex]x + 2 = 0[/tex]

[tex]x = 0 - 2[/tex]

[tex]x = -2[/tex]

solving ( x - 9 ) = 0

[tex]x-9=0[/tex]

[tex]x=9[/tex]

We also know that to get x-intercepts by setting y=0.

Therefore, the x-intercepts of the function are:

Answer:

The correct answer is (-2,0) and (9,0)

Step-by-step explanation:

PLATOOOOOOOOOOOO!!!!!!!!!!!!!!!

Answer:

x=18

Step-by-step explanation: