What is the equation of the line that passes through the point ( -1, 1) and is perpendicular to 2x + 4y = 16?
A. y = −2x − 1
B. y − 3 = 2x
C. y = 6x + 7
D. Cannot be determined

Answers

Answer 1

Answer:

B

Step-by-step explanation:

We want the equation of the line that passes through the point (-1, 1) and is perpendicular to:

[tex]2x +4y=16[/tex]

Remember that the slopes of perpendicular lines are negative reciprocals of each other.

So, let's find the slope of the original line first. We can do so by converting it to slope-intercept form. Thus:

[tex]4y=-2x+16[/tex]

Therefore:

[tex]\displaystyle y=-\frac{1}{2}x+4[/tex]

The slope is -1/2.

The negative reciprocal of -1/2 is 2.

Thus, the slope of our new line is 2.

The slope is 2 and it passes through the point (-1, 1).

We can use the point-slope form:

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

Substitute:

[tex]y-(1)=2(x-(-1))[/tex]

Distribute:

[tex]y-1=2x+2[/tex]

Subtracting 2 from both sides yields:

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

Therefore, our answer is B.


Related Questions

Please do number 16 for me.

Answers

Answer: m∠5 = 75°.

Step-by-step explanation:

We know that lines A and B are parallel, and angles 1 and 5 are formed by the same line intersecting the parallel lines.

We know that:

"When a line intersects two parallel lines, corresponding angles are formed, such that we could think on four quadrants, the angles in each quadrant are equivalent between them"

Well, here we can see that angle ∠1 and angle ∠5 are formed by the same line, and both are in the same quadrant (would be the third quadrant if we use standard notation)

Then the measure of ∠1 is the same as the measure of ∠5

And we know that m∠1 = 75°

Then we must have that m∠5 = 75°.

What is 26% of $3,000

Answers

the answer is def not 5778
The answer is 0.26 x 3000 = $780

Can someone answer this question please ASAP

Answers

Answer:

x = 2

Step-by-step explanation:

What number is this? 5⋅10.2+3

Answers

Answer:

5×10.2+3

=51+3

=54

hope it helps!!

2 to the power of 4 x 2 to the power of 5 =

Answers

Answer:

Answer is 512.

Step-by-step explanation:

I hope it's helpful!

Hi I need help with #9 please I’m not sure what I’m supposed to do on this

Answers

Answer:

assuming ABCD is a parallelogram angleB+angleA=180°

Step-by-step explanation:

118°+2x+7+9x-33=180

125+11x-33=180

92+11x=180

11x=180-92

11x=88

x=88/11

x=8

heyy could you help me out with this problem???​

Answers

Answer:

C

Step-by-step explanation:

Because of all the variables in the side lengths, we don't have enough information to use side-angle-side similarity.

We do have two angles of one triangle congruent to two corresponding angles of the other triangle, so we can use angle-angle similarity.

Sides AE and AD are corresponding sides. Sides AC and AB are corresponding.

Answer: C

Tim has completed five math problems and 13 minutes if he continues at the same rate how long will it take him to finish 20 problems

Answers

Answer:

52 minutes

Step-by-step explanation:

it takes him 13 minutes to complete 5 so if he wants  to do 20 problems  do 20 divided by 5 (4) then do 13 times 4=52

Joyville has a population of 20,750 people.
Its population is increasing at a rate of 2.7%
each year?

Answers

560 people move to Joyville each year.
I just used a calculator.. and put ( 20,750 + 2.7% = 560.25) so hopefully that helps!

Walmart is selling 100 mL tubes of toothpaste for $1.79 or 150 mL of toothpaste for $2.19. Which is the better buy?

Answers

Answer:

1.79/100mL = 0.0179

2.19/150mL = 0.0146

so, look at the end numbers

0.0179

0.0146

0.0146 is less than 0.0179

soo, $2.19 / 150mL = 0.0146 is the better buy...

can i be brianiest...

Z-8-22
z equals what

Answers

Answer:

z=30

Step-by-step explanation:

The answer should be Z=30

My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are interchangeable). How many different starting lineups can I choose?

Answers

Answer:

48048

Step-by-step explanation:

Total number of players = 16

Selection to be made :

1 goalie ; 10 players

Hence ;

Choosing 1 goalie from 16 players :

16C1

Choosing 10 players from the remaining (16 - 1), 15 players

15C10

Hence,

16C1 * 15C10

16 * 3003

= 48048

Can you please tell me the equation to solve for x

Answers

Answer:

53 + 67 + x = 180

Step-by-step explanation:

Answer:

180 = 53 + x + 67

(A straight line equals 180°)

good luck, hope this helped :)

Gloria sells skateboards and charges a $15 shipping fee for each skateboard. She sold 14 skateboards last week and charged a total of $938. If Gloria charges the same amount for each skateboard, how much does she charge for one skateboard?

Answers

Answer:

She charges 52$

Step-by-step explanation:

The answer would be $52

Find the solution to the system by graphing

Answers

Answer:

y = -3x + 1 (Red line)

y = x - 7 (Blue line)

High-definition televisions have an aspect ratio of 16: 9. The following answer choices are television screen sizes rounded to the nearest inch. Which could be a High-definition television?

Answers

Answer:

18.5 in approx

Step-by-step explanation:

Given data

aspect ratio of 16: 9

L= 16in

W= 9 in

We want to find the diagonal of the TV

applying Pythagoras theorem

d^2= l^2+w^2

d^2= 16^2+ 9^2

d^2=256+81

d^2= 337

d= √337

d= 18.35 in

Hence the tv is 18.5 in approx

What is 10x+ 5y =30 in function form

Answers

The answer would be y=3 over 5

What is the greatest common factor (GCF) of 12x and (3x^2 + 6x)?
(B) 3x
(C) X + 2
(D) 3x(x + 2)
(A) 3

Answers

Grater factor is3x(x2

The radius of a circle can be approximated using the expression √(A/3). A circular kiddie swimming pool has an area about 28 square feet. An inflatable full-sized circular pool has an area of about 113 square feet. How much greater is the radius of the full-sized pool than the radius of the kiddie pool? round to the nearest whole number.
It says Hint: First find the radius of each pool by substituting for A in the expression. Divide by 3 before approximating square root.

Answers

Answer:

yeah I know you are literally perfect for you to be home

By using the expression to approximate the radius of a circle, we want to compare the radius of the two pools. We will find that the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

The expression for the radius of a circle is:

R = √(A/3)

Where A is the area of said circle.

The circular kiddie swimming pool has an area of 28ft^2, we just replace that in the above expression to get:

R =  √(28 ft^2/3) = 3 ft

The full-sized pool has an area of 113 ft^2, then its radius is:

R' = √(113 ft^2/3) = 6 ft

To see how much greater is the radius of the full-sized pool than the radius of the kiddie pool, we just take the quotient:

R'/R = 6ft/3ft = 2

Meaning that the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

If you want to learn more, you can read:

https://brainly.com/question/20767796

HI PLSS HELP THIS IS DUE IN 15 MINS AND PLS SHOW WORK TYY

find all the missing angles

Answers

Answer:

its #####

Step-by-step explanation:

first you have to##### and then you pls give me points because a need help with some stuff

y= 43
x= 137
z= 137
hope this helped

Magazine ask readers to call in their opinion regarding the amount of advertising in present issue what sampling is it

Answers

Answer:

Convenience

Step-by-step explanation:

The convenience sampling method is defined as the non probability sampling method in the sample of the survey is taken from such a group that is easy to reach or contact. Here the sample is taken from the people that are close to hand. It is useful for the pilot testing.

In the context, the magazine publishers asks the sample of people to call and inform about their views on the amount of the advertisements in the present issues. The sample taken will be easy to reach and easy to contact. This type of sampling taken is called the convenience sampling.

Hello!! I have a question, can you please answer it. ^^


The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges.
All the kits must have the same number of each supply, and all supplies must be used.

a. What is the largest number of kits the nurse can make?

b. How many bandages and lozenges will be in each kit?

Answers

Answer:

1. 75

2. 1

Step-by-step explanation:

Someone please help :( ?????

Answers

The answer is B darling

..................Help please!

Answers

Answer:

with

Step-by-step explanation:

what

HELP ASAP GIVING BRAINLIEST!!!

Answers

Answer:

Ok???????????????????

What is the value of the expression?
2 x[(-6 + 4) X (5 + 9) - 3]

Answers

Answer:

- 62

Step-by-step explanation:

Calculate the sums within the brackets first and then multiplication, as stated by the BOMDAS rule.

B = Brackets

O = ?

M = Multiplication

D = Division

A = Addition

S = Substitution

(- 6 + 4) = -2

(5 + 9) = 14

- 2 × 14 = -28

- 28 - 3 = - 31

2 × - 31 = - 62

Disclaimer: I am not sure if one of the x's is used as a variable or not

Describe the lines in the figure below identify the figure

Answers

Answer:

The lines are congruent, the figure is a parallelogram.

Answer:

The figure shown is a parallelogram.

The lines on the sides are parallel

And the line on the top and the line on the bottom are parallel

Step-by-step explanation:

Put the following numbers in order from least to greatest 6.-3, 0, 4.-5​

Answers

Answer:

-5, -3, 0, 4, 6

Step-by-step explanation:

Answer:

-5,-3,6,4,0

Step-by-step explanation:

I just did least to greatest

The measures of two angles in a triangle are shown in the diagram.
48°
Which equation can be used to find the value of x?

Answers

Answer:

H is correct

Step-by-step explanation:

The value of x is 1036 because I said so

Whoever can answer 11-2 in PEDMAS form pls do it.

Answers

Answer:

9

Step-by-step explanation:

11 - 2 = 9

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