Line p passes through point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2. Line q is parallel to line p and passes through point (-3, 6). Which is the equation of line q in slope-intercept form? A. y= 1/4x+6 B. y = -1/4 x + 8 C. y = 4x – 8 D. y=-4x - 6​

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Because when the line passes through (0,8) with perpendicular to the graph of y =1/4 x =2 it equals y+1/4x+6.

Answer 2

The equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

Line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

The slope of the line p is:

m(p) = -4

The slope of the line q parallel to line p:

m(q) = -4

The equation of the line q:

y - 6 = -4[x + 3]

Line q passes through the point (-3, 6).

The equation of the line:

y = -4x - 12 + 6

y = -4x - 6

Thus, the equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

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Related Questions

Find the values of x and y.
(10x – 4)º
16yº
(18y – 18)°
6(x + 2)°

Answers

Answer:

The value of x is 4 and the value of y is 9

Step-by-step explanation:

In the attached pictures we can see that two lines are intersecting with each other and four angles are form. The angles opposite to each other are also called vertical angles.

The opposite pairs of angles are:

(10x-4)° and 6(x+2)°

(18y-18)° and 16y°

When two lines intersect each other, the vertical angles formed are congruent(Can also be called equal in measurement)

So,

[tex]10x-4=6(x+2)\\10x-4 = 6x+12[/tex]

Subtracting 6x from both sides

[tex]10x-4-6x = 6x+12-6x\\4x-4 = 12[/tex]

Adding 4 on both sides

[tex]4x-4+4 = 12+4\\4x = 16[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4} = \frac{16}{4}\\x = 4[/tex]

AND

[tex]18y-18=16y[/tex]

Adding 18 on both sides

[tex]18y-18+18 = 16y+18\\18y = 16y+18[/tex]

Subtracting 16y from both sides

[tex]18y-16y = 16y+18-16y\\2y = 18[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2} = \frac{18}{2}\\y = 9[/tex]

Hence,

The value of x is 4 and the value of y is 9

F(-3,2)G(-3-1)H(-1,-1)I(0,1) rotation by 270 degrees about the origin

Answers

Answer:33

Step-by-step explanation:

The answer is 33 I hope it helps

please help:) please help:)​

Answers

Is less than <
Hope it helpss

Answer:

Your answer is A) =

Step-by-step explanation:

100 - 2(20)

100 - 40 = 60

3(20) = 60

A regression line has a slope of 2.334. If the mean of the x-coordinates of the data points is 6.607, and the mean of the y-coordinates is 10.738, what is the y-value of the y-intercept of the line to three decimal places?

Answers

Answer:

- 4.683

Step-by-step explanation:

Given that:

Slope of regression line = 2.334

Mean of x coordinate = 6.607

Mean of y coordinate = 10.738

Y value of the y intercept of the line :

The value of the intercept can be obtained using the the relation :

Mean of y coordinate - slope(mean of x coordinate)

Ybar - slope(xbar)

10.738 - 2.334(6.607)

= −4.682738

= - 4.683 ( 3 decimal places)

Hence, intercept = - 4.683

Answer:

- 4.683

Step-by-step explanation:

The number of people who attended a concert on Friday was 34 the number of people who attended the same concert on Saturday. A total of 840 people attended the concert on those two days. How many people attended the concert on Saturday?

Answers

Answer:

8

the answer is 806

Step-by-step explanation:

840-36=806

3(7)+9=30 what does this equal

Answers

Answer:

First finish the brackets

21+9=30

30=30

So, it’s true

Step-by-step explanation:

Answer:

you got the right answer it equals 30

Step-by-step explanation:

i think that is what your asking and the answer is already correct

but you distribute the 3 into the 7 so you would do 3x7+9 and that would give you 30

Solve for x: 4 over 5 x + 4 over 3 = 2x x = Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points)

Answers

Answer:

x = 10/9

Step-by-step explanation:

Solve for x:

(4 x)/5 + 4/3 = 2 x

Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:

(12 x)/15 + 20/15 = 2 x

(12 x)/15 + 20/15 = (12 x + 20)/15:

(12 x + 20)/15 = 2 x

Multiply both sides by 15:

(15 (12 x + 20))/15 = 15×2 x

(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:

12 x + 20 = 15×2 x

15×2 = 30:

12 x + 20 = 30 x

Subtract 30 x from both sides:

(12 x - 30 x) + 20 = 30 x - 30 x

12 x - 30 x = -18 x:

-18 x + 20 = 30 x - 30 x

30 x - 30 x = 0:

20 - 18 x = 0

Subtract 20 from both sides:

(20 - 20) - 18 x = -20

20 - 20 = 0:

-18 x = -20

Divide both sides of -18 x = -20 by -18:

(-18 x)/(-18) = (-20)/(-18)

(-18)/(-18) = 1:

x = (-20)/(-18)

The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):

x = (-10)/(-9)

Multiply numerator and denominator of (-10)/(-9) by -1:

Answer: x = 10/9

Mary made a 48.5% on her math test. Which of the following shows a fraction and a decimal equivalent to 48.5%? 485 A and 0.485 10.000 485 B and 48.5 100 485 С and 4.85 100 485 D and 0.485 1.000

please show me the work I need it right know☹️​

Answers

B.

you can eliminate A and D because grades are distributed by 100. and c only has 4.85 when the question says she made a 48.5

BRAINLY AND POINTS FOR STEP BY STEP
b-4z =a for b
____
5

Answers

Answer:

Dividing both sides of 5x = 4 by 5 yields x = 4 _. 5 . The value of x can now be ... tuting −1 for a into the equation b = –a + 3 gives b = −(−1) + 3, or b = 4. ... ___. 82 − (2i)2 . Since i2 = −1, this can be simplified to 24 − 6i − 40i − 10. __.

hope this helps also Brainliest please:)

Answer:

b=7a+4z

Step-by-Step Explanation

I just took the test, this is right, but I'll give you a step-by-step because I want a Brainiest :D

b-4z over 7=a    

Multiply both sides by 7

b-4z=7a

Aded 4z to both sides

Your answer is b=7a+4z

Please give me Brainiest!!!!

Find the Slope.
(2, 8) and (4, -3)

Answers

0.75 is the slope im pretty sure

A firefighter is standing 33 feet away from a 45 foot tall building. The firefighter looks up and sees that a cat that is stuck on the top of the building and also notices a dog in a second flooor window that is 15 feet above ground. What is the angle of elevation of the cat?

Answers

Given :

Distance of firefighter from the building, D = 33 feet.

Height of building, h = 45 feet.

To Find :

The angle of elevation of the cat.

Solution :

Let, angle of elevation is Ф.

We know, tan Ф = h/D

tan Ф = 45/33

Ф = tan⁻¹( 45/33 )

Ф = 53.75°

Therefore, angle of elevation is 53.75° .

Hence, this is the required solution.

HELP! will give brainliest!!! The United States released 5.877 billion metric tons of carbon
dioxide into the environment through the burning of fossil fuels in a recent year. If
1 trillion pounds = 0.4536 billion metric tons, how many trillion pounds of carbon
dioxide did the United States release in that year?

Answers

Answer:

13.0 trillion pounds of carbon dioxide

Step-by-step explanation:

5.877 ÷ 0.4536 = 12.9563492063

rounded to 1 decimal place =

13.0 trillion pounds of carbon dioxide

The carbon dioxide released by United States is 12.9563 trillion pounds

What is conversion?

In math, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons.

Now it is given that,

Amount of carbon dioxide released by United States = 5.877 billion metric tons

It is also given that,

1 trillion pounds = 0.4536 billion metric tons

So, 1 billion metric tons = (1/0.4536) trillion pounds

Thus, 5.877 billion metric tons =  (5.877/0.4536) trillion pounds

5.877 billion metric tons =  12.9563 trillion pounds

Thus, the carbon dioxide released by United States is 12.9563 trillion pounds

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please help .thanks

Answers

Answer:

2 and 1/5 is greater than 2.15

Step-by-step explanation:

This is true because 1/5 is equal to .20 which is greater than .15

Answer:

B, >

Step-by-step explanation:

2 1/5

2*5= 10+1= 11

11/5 vs 2.15

2.2 vs 2.15

2.2 > 2.15

A rectangle of side 48cm by 60cm is divided into squares of side X cm. Find the greatest value of X
and find the area of the square.

Answers

Answer:

greatest value of X = 12

Area of square = 144 cm²

Step-by-step explanation:

The greatest value of X will be the highest common factor of 48 and 60 since we are told that the rectangle is divided into squares.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The highest common factor between both factors of 48 and 60 is 12.

Thus,

greatest value of X = 12

Area of square = 12 × 12

Area of square = 144 cm²

how to simplify this ......​

Answers

First find the square root
4x^-6= 2x^-3
9y^-4= 3y^-2
If a negative exponent is in the numerator, move the expression to the denominator and make the exponent positive
So instead of 2x^-3/3y^-2 make it
2y^2/3x^3
So
The answer will be 2y^2/3x^3
Hope this helps
2y^2/3x^3

STEP BY STEP EXPLANATION

What is the slope and y-intercept of the
graph shown below?

Answers

Answer:

m=1.5 b=4

Step-by-step explanation:

lunches cost 14.75 per week how much would 13 weeks of lunches cost fast pls

Answers

14.75*13= $191.75
—————————-

Answer:

it would cost 191.75

Step-by-step explanation:

i just put it in a proportion like this 14.75/1 = ?/13

then i just multiplied 14.75 and 13 i got the resulting answer 191.75

pls mark brianleist

what is the proportional realashionship

Answers

Answer: "Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"."

Step-by-step explanation: I got this from a website. Hope it works!!!

Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct

Answers

Answer: no Tony is not correct It is less than 5 hundred dollars.

Step-by-step explanation: 8×37=296 +200 = 496

Answer:

38

Step-by-step explanation:

The solution to the inequality is x Greater-than-or-equal-to 37.5.

For this situation, only whole number solutions make sense.

Tony needs to round up to 38.

What value of x will make this equation true?
8 (3x + 3) = 3 (9x -9)

Answers

Answer:

17

Step-by-step explanation:

24x+24=27x-27

51=3x

x=17

The graph shows a predicted population as a function of time.
Which statement is true?
As the number of years increases without bound, the
population decreases without bound.
As the number of years decreases, the population
increases without bound.
As the number of years increases without bound, the
population increases without bound.
There is no limit to the population, but there is a limit
to the number of months.

Answers

Answer: (As the number of years increases without bound, the population increases without bound.)

Hope I helped.

Answer:

The answer is C. As the number of years increases without bound, the population increases without bound.

Shawn wanted to rent a mo-ped for the afternoon. The rental fee for a mo-ped was $10 plus $7 for each hour he used the bike. Write an expression that represents the cost for h hours. Then, decide how much Shawn spent if he rented the mo-ped for 3 hours.

Answers

Answer:

Total cost= $31

Step-by-step explanation:

Giving the following information:

The rental fee for a mo-ped was $10 plus $7 for each hour he used the bike.

First, we need to structure the total cost formula:

Total cost= 10 + 7h

h= number of hours

Now, for 3 hours:

Total cost= 10 + 7*3

Total cost= $31

4. Rudy is training for a race. On Monday he ran
2 km. On Tuesday he ran 15% farther than on
Monday. If he increases his running distance
by the same percentage each day, on which day
will he first run more than 4 km?
A. Wednesday
B. Thursday
C. Friday
D. Saturday

Answers

Answer:

C

Step-by-step explanation:

You add .3 km to the first day (tuesday)

then .6 then next day (wedneday)

next you add .9 on the next day (thursday)

finally you add 1.2 km on Friday

2.3+0.6+0.9+1.2=4 km

What does (f+g)x mean?

Answers

Answer:

(f + g)(x) means f(x) + g(x)

General Formulas and Concepts:

Alg I

Function NotationCombining like terms

Alg II

Composite Functions

Step-by-step explanation:

(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.

Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.

PLEASE HELP ILL MARK YOU BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

Answer:

C i think

Step-by-step explanation:

On Wednesday, 10% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought gas. How many of these 250 customers made additional purchases?

Answers

Answer:

25 customers

Step-by-step explanation:

Step one:

given data

we are told that the total customers are 250 in number

and that 10% of customers made additional purchase.

Step two:

what we intend to find is the number that 10% represent in 250

this is shown as

=10/100*250

=0.1*250

=25

The number of customers that made an additional purchase is 25

Answer:

25

Step-by-step explanation:

Mr. Bearfield deposited $3,500 in a new investment account. -The investment pays 8% interest compounded annually on this account. -Mr. Bearfield did not make any additional deposits or withdrawals. What is the balance of the account at the end of three years?

Answers

Answer:

In 3 years, you will have $4,408.99

Step-by-step explanation:

The formula used in the compound interest calculator is A = P(1+r/n)^(nt)

A = the future value of the investment

P = the principal investment amount

r = the interest rate (decimal)

n = the number of times that interest is compounded per period

t = the number of periods the money is invested for

Find the total surface area of this cuboid,
5 cm
4 cm
6 cm

Answers

Answer:

148

Step-by-step explanation:

Sa=2(lw+lh+wh)

Sa=2(4*5+4*6+5*6)

148=2(4*5+4*6+5*6)

Answer:

100 cm sq

Step-by-step explanation:

The answer is 100 cm sq because the formula would be:

SA= Ph + 2B

Sa= 10 x 6 + 2 x 20 (5 x 4)

SA= 60 + 40

SA= 100 cm sq

Please make me brainliest!!!

2
y + 4
3
How do I write this in a word phrase

Answers

Answer:

To write an expression, we often have to interpret a written phrase. For example, the phrase “ 6 added to some number” can be written as the expression x + 6, where the variable x represents the unknown number.

Step-by-step explanation:

A contestant on the Biggest Loser tv show started at 380 lbs. When the show ended, the contestant weighed 225 lbs. What was the contestants percent decrease?

Answers

amount decrease = 380 - 225 = 155
percent = 115/380 * 100 = 40.8 %

Answer:40.789%

Step-by-step explanation:

380-225=155

155/380=0.40789 or 40.789%

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