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The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The given line has a slope of -1, since it is in the form y = mx + b, where m is the slope, and in this case, m = -1.

To find the equation of the line that is perpendicular to this line,

We need to use the fact that the product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular line be m'.

Then:

-1 x m' = -1

m' = 1

So the slope of the perpendicular line is 1.

We also know that the perpendicular line passes through the point (-12, 10).

Using the point-slope form of the equation of a line, we have:

y - y(1) = m' (x - x(1))

Substituting m' = 1 and (x(1), y(1)) = (-12, 10),

We get:

y - 10 = 1 (x + 12)

Simplifying this equation gives:

y = x + 22

Thus,

The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.

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Answer:

The length of each side of the base must be 6.

Step-by-step explanation:

Total volume = 396

Volume = Length x width x height

We know height = 11

So,

11 x Length x Width = 396

396 / 11 = 36

Length x Width = 36

This is a square prism so all sides of base are equal.

Length = 6

Width = 6

And therefore all the other sides of the base are also 6.

Answer:

(2, -3)

Step-by-step explanation:

Well the equation is y - y1 = m ( x - x1)

-3 = y1

2 = x1

(2, -3)

Answer:

(2,-3)

Step-by-step explanation:

The given equation is in point-slope form. That is,

[tex]y-y1=m(x-x1)[/tex]

[tex]x1[/tex] and [tex]y1[/tex] is a point, while [tex]m[/tex] is the slope.

So, [tex]y1=-3[/tex] and [tex]x1=2[/tex].

The point that this equation passes through is (2,-3).

I hope this helps!

Answer:

The answer is 3 2/5 hope this helps :)

Step-by-step explanation:

Answer:

Is JI a side then Jl=3 .5

Step-by-step explanation:

Answer:

D

since 45027/3 is is 15009 and 804597/3 is 268199

Answer:

The number is 39

Step-by-step explanation:

Turn English into Math and solve for n:

142+n=64+3n

78+n=3n

78=2n

39=n

So the number must be 39

Answer:

900

Step-by-step explanation:

[tex]\frac{27000}{30}=900[/tex]

Answer:

The egg salad sandwich

Step-by-step explanation:

The cheese sandwich is 1/4 lb for 6 inches. For it to be proportional, the 12 inch would be twice that amount (2/4 or 1/2 lb). But, the actual 12 inch cheese sandwich is 3/4 lbs.

The chicken salad sandwich is 3/4 lbs for 6 inches. For it to be proportional, the 12 inch would be twice that amount (6/4 or 3/2 lbs). But, the actual 12 inch chicken salad sandwich is 7/4 lbs.

The egg salad sandwich is 2/3 lbs for 6 inches. For it to be proportional, the 12 inch would be twice that amount (4/3 lbs). The 12 inch sandwich is 4/3 lbs, so it is proportional.

The vegetable sandwich is 3/4 lbs for 6 inches. For it to be proportional, the 12 inch would be twice that amount (6/4 or 3/2 lbs). But, the actual 12 inch vegetable sandwich is 5/4 lbs.

Answer:

which question is it ??

I'm not sure if it is dynamic or static equilibrium but if I had to choose I'd say dynamic

Answer:

It is in static equilibrium with a net force of 0 N.

Step-by-step explanation:

EDGE21

126

12=84

6=42

84+42=126

Hope this helps!!! Have an amazing night!!!!

Answer:

y = -2

Step-by-step explanation:

To find the answer, we have to input 0 in as the value of x and then solve the equation y = 3x - 2:

y = 3(0) - 2

y = 0 - 2

y = -2

When x is 0, y is -2.

Answer:

5

Step-by-step explanation:

29 plus 16 is 45 and 45 divided into 9 is 5

Answer: The missing value is 5. x = 5.

Step-by-step explanation:

Plug the values into the equation for slope

(4-1)/(x-1) = 3/4

Simplify

3/(x-1) = 3/4

Since we already know the numerator is 3 and we know the denominator is equal to 4, x-1 must equal 4.

x-1 =5, thus x = 5.

Answer:

3. x = y - 3

Step-by-step explanation:

You want to move all numbers on the same side of x to the other side with y. Whenever doing this, we have to reverse the operation. In this problem, we have + 3 with x. So we will need to subtract 3 from both sides.

x + 3 = y

x = y - 3

Answer:

x=2 y=-1...................

Answer:

A

Step-by-step explanation:

Answer:

d = 4

Step-by-step explanation:

[tex]4d+2d−4d+4=3d

[tex]4d+2d−4d+4=3d[/tex]

[tex]4d+2d+−4d+4=3d[/tex]

(4d+2d+−4d)+(4)=

d+4=3d[/tex]

(2d+4=3d)[/tex]

[tex]2d+4−3d=3d−3d[/tex]

[tex] - d + 4 = 0[/tex]

[tex]−d+4−4=0−4[/tex]

[tex] - d = - 4 [/tex]

[tex] \frac{ - d}{ - 1} = \frac{ - 4}{ - 1} [/tex]

Answer:

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

Step-by-step explanation:

cos

(

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π

3

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cos

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cos

(

π

3

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−

sin

π

⋅

sin

(

π

3

)

=

(

−

1

)

(

1

2

)

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√

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2

Answer:

2 1/8

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Because zero is the x, so x=-7 then it's -7

The zeros of the polynomial function is x = 7, x = 3, and x = 4 if one factor of f(x) = x³ − 14x² + 61x − 84 is (x − 7).

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that:

f(x) = x³ − 14x² + 61x − 84

One factor is (x - 7)

The cubic polynomial can be written as:

f(x) = (x - 7)(x² - 8x + 12)

Or

f(x) = (x - 7)(x - 3)(x - 4)

To find the zeroes equate to zero:

f(x) = 0

(x - 7)(x - 3)(x - 4) = 0

x = 7, x = 3, and x = 4

Thus, the zeros of the polynomial function is x = 7, x = 3, and x = 4 if one factor of f(x) = x³ − 14x² + 61x − 84 is (x − 7).

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Answer:

B.) -7/1

Step-by-step explanation:

Finding the slope we use: y2 - y1/x2 - x1

m = -1 - 6/-3 - (-4)

m = -7/-3 + 4

m = -7/1

Answer:

It is the third one.

Step-by-step explanation:

Answer:

Did you find the answer? I need help with this too

Step-by-step explanation:

Answer:

He spent $24

Step-by-step explanation:

it is 24

hope it helps

Answer:

Step-by-step explanation: a . subtraction

b .n/3 = 8+1 since the one goes out wit the opposite sign

n/3 = 9

n = 9 x 3 = 27

n = 27

c. i didn't get it sorry

Answer:

Question 1: Option C: y -6 = 8(x+4) is the correct answer.

Question 2: Option B: y-1=0 is the correct answer.

Step-by-step explanation:

Question 1(In Picture):

Given point is: (-4,6) and

Slope: m = 8

The point-slope form of equation of a line is given by:

[tex]y - y_1 = m(x-x_1)[/tex]

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

[tex]y -6 = 8(x+4)[/tex]

Hence,

Option C: y -6 = 8(x+4) is the correct answer.

Question 2:

Given point is: (3,1) and

Slope: m = 0

The point-slope form of equation of a line is given by:

[tex]y - y_1 = m(x-x_1)[/tex]

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

[tex]y -1 = 0(x-3)\\y-1 = 0[/tex]

Hence,

Option B: y-1=0 is the correct answer.

Answer:

25% of all points is 16. So 16 is 1/4. Multiply 16 by 4 and then total points is 64

Answer:

x=4 is the correct answer:)

Step-by-step explanation: