7x-6=21+7x solve for x. ​

Answer:

[tex]y=-\frac{1}{2} x+2[/tex]

Step-by-step explanation:

The given equation is written in slope-intercept form:

[tex]y=mx+b[/tex]

where:

The slope is 2:

When two lines are perpendicular, their slopes will be opposite reciprocals. Find the slope of the line perpendicular to the given equation:

[tex]m_{1}=2[/tex]

This can be seen as:

[tex]m_{1}=\frac{2}{1}[/tex]

Flip the fraction (reciprocal):

[tex]\frac{2}{1}[/tex] → [tex]\frac{1}{2}[/tex]

Now find the opposite:

[tex]\frac{1}{2}[/tex] → [tex]-\frac{1}{2}[/tex]

So the slope of the perpendicular line is:

[tex]m_{2}=-\frac{1}{2}[/tex]

Now make an equation written in point-slope form:

[tex]y-y_{1}=m(x-x_{1})[/tex]

where:

Insert information:

[tex]y-3=-\frac{1}{2} (x-(-2))\\\\y-3=-\frac{1}{2} (x+2)[/tex]

Simplify to slope-intercept form. Solve for y:

Use the distributive property:

[tex]y-3=-\frac{1}{2}(x)-\frac{1}{2} (2)\\\\ y-3=-\frac{1}{2} x-1[/tex]

Add 3 to both sides to isolate the variable:

[tex]y-3+3=-\frac{1}{2} x-1+3\\\\y=-\frac{1}{2} x+2[/tex]

:Done

Answer:

-30r+15

Step-by-step explanation:

Apply the distributive law:

20(-1.5r)+20 · 0.75

Apply minus plus rules:

-20 · 1.5r +20 · 0.75

Simplify:

-20 · 1.5r + 20 · 0.75 = -30r+15

I hope it's right!! :)

Answer:

∆FSH ≅ △_____

By rule Cannot Be Determined

Step-by-step explanation:

Both do not have an answer.

Answer:

3 inches.

Step-by-step explanation:

72 / 24 = 3.

hope that helps!

Answer:

(attached image)

Step-by-step explanation:

Answer:

(-1,0)

Step-by-step explanation:

Midpoint formula: (coordinate 1 + coordinate 2)/2

(-4+2)/2 = -1

(-2+2)/2 = 0 0 divided by anything =0

Answer:

The correct answer is D) sin(2x) = sin(x)cos(x)+sin(x)cos(x)

Step-by-step explanation:

Right answer on Edge

The step 2 will be;

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The steps are;

Step 1; sin (2x) = sin (x + x)

Step 3; sin (2x) = 2 sin (x) cos (x)

Now,

Since, The steps of the solution are;

Step 1; sin (2x) = sin (x + x)

Step 3; sin (2x) = 2 sin (x) cos (x)

Hence, We get;

All the steps as;

⇒ sin (2x) = sin (x + x)

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

⇒ sin (2x) = 2 sin (x) cos (x)

Thus, The expression for step 2;

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

Learn more about the mathematical expression visit:

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Answer: ∠BEA ≅ ∠BEC

Step-by-step explanation:

Answer:

your answer is > or the second choice

Step-by-step explanation:

-7+2=-5  > 3+(-9)=-6

Answer:

the second option is correct. -5 > -6

Answer:

-45

Step-by-step explanation:

Sum of two integers = -30

one of them = 15

let another number be 'x'

x + 15 = -30

x = -30 - 15

x = -45

so the other number is -45

Answer:

14.5

Step-by-step explanation:

Answer:

M²

Step-by-step explanation:

Parallel lines have equal slopes.

One line has a slope of M then the line parallel to it has a slope of M , thus

product of slopes = M × M = M²

The the product of their slopes is M².

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

two lines are parallel

and the slope of one of the lines is M

Also, the parallel lines have the same slope.

So, both the line lines have slope M.

Now, the the product of their slopes

= M x M

= M²

Hence, the product of their slopes is M².

Learn more about slope here:

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Answer:

what

Step-by-step explanation:

Step-by-step explanation:

Because by reading the article they help us find the information we need to find and better understand the current events for geography issues.

Answer:

Step-by-step explanation:

Note that if it has a y- intercept of 20, this means that when x = 0 , y = 20

Find the table which shows that :)

Answer:

yes you are saying 5-9-16 is greatest possible value but how can you show it please help me I am also

Answer:8

Step-by-step explanation:

Area = Length x Width.

simple room measurement

Measure the length using the distance from one wall to the opposite wall.

Measure the width from wall to wall.

Add 2 to 4 inches to each side. This accounts for waste, doors and slanting walls. It’s easy to cut a little off for a perfect fit, but it’s impossible to add without creating unsightly seams.

Multiply the length times the width or enter those into the calculator above. This is your total square footage for that room.

Repeat this process for each room.

NOT SURE HOW MU

Answer:

oi hi how are you

Step-by-step explanation:

Answer: First term.

Step-by-step explanation:

i.e. Domain for this function is natural number.

Natural number starts with 1.

so, at n=1 f(1) represents the first term in a sequence.

Hence, f(1) represents "first term" in a sequence

Answer:

a geometric transformation would mean to make some changes in any given geometric shape. In geometry, transformations relate to the movement of figures on a plane. Each transformation follow a rule

Step-by-step explanation:

For example 4 to the felt and 3 to the top, (x,y) (x-4, y+3)

2 down and 4 to the right, (x.y) (x-2, y+4)

Basically if you see an image on a graph, its the preimage and you need to create the new image the same size and shape as the the original.  

Answer:

C is your best bet i got it good on ed

Answer:

-4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

To boil rice you use the following ratio

Water : Rice

3 : 1

? : 8

Basically what the ratio 3:1 means is that for every 3 cups of water, you need 1 cup if rice.

6 cups of water, you need 2 cups of rice (6:2)

9 cups of water, 3 cups of rice (9:3)

Etc.

All you would have to do is multiply 3 by 8 to find out how much water she needs for 3 cups of rice :)

Answer:

ok the ratio of water to Rice is 3:1 meaning water is 3 rice is one and your child that we have 8 cups of rice so really quite the ratio of rice to the number of cups of rice so it will be if one is equals to 8 what about 3 that is the ratio that represents water so we'll cross multiply so that you have 3 * 8/1 and the answer is 24 so the number of cups of water needed is 24

Work Shown:

Add up the values

75+97+92 = 264

Then divide by 3 since there are 3 scores

264/3 = 88

You can write this all as one step

(75+97+92)/3 = 88

So in short, you add the scores and then divide by the number of scores.

Answer:

D inequality sign always open up to a smaller number

Step-by-step explanation:

Answer:

r = r

Step-by-step explanation:

4(r + 20) = 1/5(20r + 400)

4r + 80 = 4r + 80

    - 80         - 80

4r = 4r

4      4

r = r

Answer:

no solution

Step-by-step explanation:

4(r + 20) = 1/5(20r + 400)

4r + 80= 4r+ 80

-4r           -4r

80= 80

Hope this helps

Answer:

3 mph

Step-by-step explanation:

1 hour = 60 minutes.

4 miles/ 75 minutes = x miles / 60 minutes

240 = 75 x

x = 3.2

3.2 miles per hour

Answer:

It represents 1 + the percent of the markup written in decimal form

Answer:

percent of original price being paid

Answer:

Step-by-step explanation: First things first, you have to have the variables on one side. To do that, subtract 4x from each side.

4x + 6 = 8x - 10

-4x         -4x

Now you have your equation that is ready to graph.

6 = 4x - 10

Use a graphing calculator and put in the equation. You can also go to desmos.com

When you are done you will see your graph as well as the answer.