2. What is the equation of a line that is passing through the point (8,11) and is perpendicular to y=2x+1.

Answer:

y = - [tex]\frac{1}{5}[/tex] x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

4x + 20y = - 180 ( subtract 4x from both sides )

20y = - 4x - 180 ( divide all terms by 20 )

y = [tex]\frac{-4}{20}[/tex] - [tex]\frac{180}{20}[/tex] , that is

y = - [tex]\frac{1}{5}[/tex] x - 9 ← in slope- intercept form

Answer:

83.75%

Step-by-step explanation:

67/80 = 83.75%

Answer:

y is (0,-2) thats all i know sorry

Step-by-step explanation:

The equation of line will be;

⇒ y = x + 2

And, The y - intercept will be 2.

What is Equation of line?

The equation of line with slope 'm' and y - intercept at point 'b' is given as;

⇒ y = mx + b

Given that;

The points on the graph are (0, 2) and (- 2, 0).

Now,

Since, The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Thus, The slope of the line with the points (0 , 2) and (-2, 0) is;

m = (0 - 2) / (- 2 - 0)

m = - 2/- 2

m = 1

So, The equation of line passing through the points (0 , 2) and (-2, 0) with slope 1 is defined as;

y - y₁ = m (x - x₁)

y - 2 = 1 (x - 0)

y - 2 = x

y = x + 2

Now, Compare with the equation y = mx + b, we get;

The y - intercept = 2

Thus, The equation of line will be;

⇒ y = x + 2

And, The y - intercept will be 2.

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Answer:

5 flights of stairs

Step-by-step explanation:

The car is 4 floors below ground so she walks 4 to get to ground level. Then she walks 3 more to get to where she is going.

4 + 3 = 7 total floors

Answer: the length is 6 feet. The width is 2 feet

Step-by-step explanation:

The garden pool is rectangular in shape.

Let L represent the length of the rectangular garden.

Let W represent the width of the rectangular garden.

The area of a rectangle is expressed as L× W. The area of the rectangular garden pond is 12ft^2. It means that

L× W = 12 - - - - - - - - - - 1

The length of the pool needs to be 2ft more than twice that width. This means that

L = 2W + 2 - - - - - - - - - - - 2

Substituting equation 2 into equation 1, it becomes

W(2W + 2) = 12

2W^2 + 2W = 12

2W^2 + 2W - 12 = 0

W^2 + W - 6 = 0

W^2 + 3W - 2W - 6 = 0

W(W + 3) - 2(W + 3) = 0

W - 2 = 0 or W + 3 = 0

W = 2 or W = - 3

Since the Width cannot be negative, then the width is 2 feet

Substituting W = 2 into equation 2. It becomes

L = 2×2 + 2 = 6 feet

Answer:

Step-by-step explanation:

ratio and proportion:

3 tickets  = 7 tickets

$13.20            x

then cross multiply:  3 (x) = 13.20 (7)

simplify: 3x = 92.4

solve for x = 92.4 / 3

x = $ 30.8

therefore,

7 tickets costs $ 30.8

You know, it's easier to draw it out to figure out the answer!

It's side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm. So, it's D. (last option)

Answer:

D

Step-by-step explanation:

I got it right on the test. 100%

Answer:

there is 16 female teachers because 4 * 4 is 14

male is eqaul to 12

so therefore female is eqaul to 3/4*12=9

Answer:

c

Step-by-step explanation:

ik cause you don't so deal with it

Answer:

Answer is C. Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. What is the total amount of calories he consumed?

Explanation:

;v;

Answer:

Its is so u get points make me he brainlst thx

Step-by-step explanation:

Answer:

2x10^15x^2

Step-by-step explanation:

Answer:

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

from the question, we are told that Lisa bakes 3dozens cupcakes every hour, to know the amount she makes in h hours, we will use the equality postulate as shown;.

3 dozens = 1hour

n(h) = h hour

Cross multiply

n(h) × 1 = 3×h

n(h) = 3h

Hence the function that models the number of cupcakes Lisa makes in h hours is n(h) = 3h

To get the cost function in terms of hours, we will find the composite function C(n(h))

C(n(h)) = C(3h)

Given C(n) = 60 + 0.45n

C(3h) is derived by substituting n as 3h in the function as shown;

C(3h) = 60+0.45(3h)

C(3h) = 60+1.35h

Hence the cost function in terms of hours, h, is given by 60+1.35h

To get the cost for making cupcakes for 2 hours, we will substitute h = 2 into the expression C(h) = 60+1.35h

C(2) = 60+1.35(2)

C(2) = 60+2.70

C(2) = 62.70

Hence the cost for making cupcakes for 2 hours is $62.70

Answer:

The function that models the number of cupcakes Lisa makes in h hours is n(h) = 36h. The cost function in terms of hours, h, is given by 60 + 16.2h. Lisa's cost for making cupcakes for 2 hours is $92.40

.

Step-by-step explanation:

Answer:

d.)22

(I'm pretty sure it's d but if not it's c)

Answer:

35.7 meters

Step-by-step explanation:

Literally all you do is divide the overall amount by how many rolls there were. That easy.

Answer:

$0.15

Step-by-step explanation:

Answer:

$4,800

Step-by-step explanation:

you take $4000 and multiply by .04 to get interest for one year. Then multiply by 5 for the years and that is $800. and $800 + $4000 - $4800.

Answer:

Isaac earned $117.99 this week

Step-by-step explanation:

Percentages

The N% of a quantity M is calculated as follows:

N * M / 100

Isaac earns a 9% commission for his sales.

This week he sold $1,311, thus his commission is:

9 * 1,311 / 100 = 117.99

Isaac earned $117.99 this week

Answer:

 -8a2b + 8a - b2

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (8a -  23a2b) -  b2

STEP  2 :

STEP  3 :

Pulling out like terms

3.1     Pull out like factors :

-8a2b + 8a - b2  =   -1 • (8a2b - 8a + b2)  

Trying to factor a multi variable polynomial :

3.2    Factoring    8a2b - 8a + b2  

Try to factor this multi-variable trinomial using trial and error  

Answer:

-8a^2b - b^2 + 8a

Have a nice day and stay safe. Pls rate me and like.

: )

Answer:

z=77

Step-by-step explanation:

z/7−9=2

Step 1: Simplify both sides of the equation.

z−9+9=2+9

1/7z=11

z=77

(✿◠‿◠)

Answer:

A. In quadrant IV

Step-by-step explanation:

I checked it and it’s right on A P E X hope this helps:)

Answer:

B. (1) is the value of x

Step-by-step explanation:

Answer:

i got -0.5

Step-by-step explanation:

Answer:

[tex]\displaystyle y=14\cdot x[/tex]

Step-by-step explanation:

Directly Proportion

It's said that y varies directly proportional as x, if:

[tex]y=k\cdot x[/tex]

Where k is a constant of proportionality.

We know that y=7 when x=1/2.

Using the above condition, we can find the value of k:

[tex]\displaystyle 7=k\cdot \frac{1}{2}[/tex]

Solving for k:

k=14

Thus, the equation is:

[tex]\boxed{\displaystyle y=14\cdot x}[/tex]

Answer:

A = 104 ft²

Step-by-step explanation:

We're given that the width of the rectangle is 8 so that's the value of w. All we have to do is just plug in 8 into the equation:

A=w²+5w

A=(8)²+5(8)

A=64+40

A = 104 ft²

Answer:

(-∞,∞)

Step-by-step explanation:

Answer:

3.5 and 10/3

Step-by-step explanation:

just took the quiz

Answer: C.) 3.5 and D.) 10/3

Step-by-step explanation: i hope this helps :)

Answer:

30+2.50m=t

Step-by-step explanation:

where m represents the amount of miles driven and t represents the total of money owed

can i get brainliest please?

Answer:

joker is not see the following questions and the answers will come up on your site

Answer:

67/24

Step-by-step explanation:

that is what my graphing calculator got, I hope its right

Answer:

2 19/24

Step-by-step explanation:

if we go by order of operations we will need to find 3/4+1/6 first because its in parenthesis. we would need to make the fractions compatible so we would turn 3/4 into 9/12, and 1/6 into 2/12. That would get us 11/12. Next up we would calculate the exponent. 2**4 is equal to 2*2*2*2, which is 16. then we would do the division. 2/3 / 16=1/24. 11/12 / 1/3= 11/4. again, we need to make them compatible so we would turn 11/4 into 66/24. finally we add 1/24 and 66/24, which is 67/24. we would turn that into 2 19/24. hope this helps!

Answer :

m = 3

Point = (4,-1)

x1 = 4

y1 = -1

Formula =

y - y1 = m (x-x1)

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

y + 1 = 3x -12

y - 3x + 1 + 12 = 0

y - 3x + 13 = 0

The line = y - 3x + 13 = 0 or -3x + y + 13 = 0

I'm sorry if I'm wrong.

Cmiiw

Good luck

Love from Indonesia

y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

m=3

We need to find slope intercept form, for this we should know the y intercept with slope m =3 and point (4,-1)

-1=3(4)+b

-1=12+b

-1-12=b

b=-13

y intercept is -13

Hence, y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.

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