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


[tex] \frac{2a + b}{3} [/tex]
a=
[tex] \frac{1}{2} [/tex]
b = -4

Answers

Answer:

the value of the equation is -1

Find the perimeter of this parallelogram:
8.2 cm
6.5 cm
Find the perimeter of this triangle:
7.3cm
6.1cm
9.6cm

Answers

Answer:

parallelogram 's perimeter =2(8.2+6.5)

""" =2×14.7

... = 29.4

perimeter of triangle=7.2+6.1+9.6

""""" =22.9

The figure below shows two triangles on the coordinate grid:


What set of transformations is performed on triangle ABC to form triangle A′B′C′? (5 points)

Group of answer choices

A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin

A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin

A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down

A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down

Answers

Answer:

Option A

Step-by-step explanation:

A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin

Correct

A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin

Incorrect. It would work with 180-degree rotation.

A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down

Incorrect. It would work with the translation 5 units up.  

A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down

Incorrect.

What is the area of the shaded region?
26 km
35 km

Answers

Answer:35/2=17.5*26= ?

Step-by-step explanation:

For the right triangles below, find the values of the side lengths a and h . Round your answers to the nearest tenth.

Answers

H is to 3 and d is to 2 Thats my answer #brainliestbunch - _ -

Sloan works 7 1/2 hours each day. How many hours h does Sloane work in d days?

Answers

h=7.5d is the answer. You just multiply 7.5 by the number of days worked.

is palpatine the strongest sith

Answers

Answer:

One may think that he is the most powerful Sith Lord, and on some levels this is correct, but that title falls to another, even more powerful Sith Lord. That is Jar Jar Binks. He possesses the power to wipe out entire universes without blinking an eye. Jar Jar is an entity that was here before the universe was created. He made God. He even made Shaggy in his image so that he could have a set of eyes on Earth. He needed a right hand man to corrupt humanity at its source. Some might say that Jar Jar is the true form of evil, but I refute that claim with an argument of my own. Jar Jar Binks may have destroyed countless lives, but he did so in order to keep the balance of the universe, and for that, I thank him. All hail Jar Jar.

 Step-by-step explanation:

Solve x + 5x + 6 = 0

Answers

x+5x+6=0
x+5x=6x
6x+6=0
-6 -6
6x=-6
\6. /6
x= -1
so the answer would be -1

Can someone explain how I can solve this?

Answers

Answer: q≤36

Step-by-step explanation: 6≥ q /6

6≥ 1 /6 q

1 /6 q≤6

6(1 /6 q)≤(6)(6)

q≤36

find the length of the arc intercepted by a central angle of 1.5 radians in a circle of radius 9 cm.

Answers

Answer:

13.5 cm

Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle θ. We know that for the angle equal to 360 degrees (2π), and the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

L/θ = C/2π (C = Circumference = 2πr)

L/θ = 2πr/2π,

L/θ = r,

L = r*θ = 9 cm * 1.5 = 13.5 cm

Convert each to a standard number:
i) 25%
ii) 43.2%
iii) 0.02214%
iv) 2%

Answers

Answer:

a

Step-by-step explanation:

Answer:

i. 1/4

ii. 54/125

iii. 1107/5000000

iv. 1/50

Step-by-step explanation:

i.

25% = 0.25

0.25 = 25/100

25/100 (GCF 25) = 1/4

ii.

43.2% = 0.432

0.432 = 432/1000

432/1000 (GCF 8) = 54/125

iii.

0.02214% = 0.0002214

0.0002214 = 2214/10000000

2214/10000000 (GCF 2) = 1157/5000000

iv.

2% = 0.02

0.02 = 2/100

2/100 (GCF 2) = 1/50

Use the drop-down menus to complete each statement.
Table A represents a _______
function.

Table B represents a _______
function.

Table C represents a _______
function.

Answers

Answer:

a:cubic

b:quadratic

c:linear

Step-by-step explanation:

Tables A, B, and C represent cubic, quadratic, and linear functions respectively.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
In the question, 3 functions in tabulated form is given, we draw the function on the graph then we observe that,

Table A, shows the cubic function because the graph with an increase of x  increase and decrease multiple times.

Table B, shows the quadratic function, is shows the curve as of the parabola.

Table C, shows the linear relationship, as it forms a line on the graph.

Thus, tables A, B, and C represent cubic, quadratic, and linear functions respectively.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

If p is true and q is false, the p q is
Always

Answers

Step-by-step explanation:

Hindi ko maintindihan sorry...

Subtract and simplify.

3/4 - 11/20=

Answers

Answer:

1/5

Step-by-step explanation:

3/4 = 15/20

15/20 - 11/20 = 4/20

Can be simplified to 1/5

Answer: 3/4 - 11/20 = 1/5 or in decimal form 0.2

How do I find the side of a right triangle if I'm given the measures of 2 angles and 1 side?​

Answers

Answer:

brain

Step-by-step explanation:

brain to the fullest

9.

Write a function rule for the table.


A. f(x) = –4x

B. f(x) = 4 – x

C. f(x) = x + 4

D. f(x) = x – 4

Answers

Answer:

B. f(x) = 4 – x

Step-by-step explanation:

Answer:

b. f(x) = 4 -- X Amadodcnfnfkdi

Four friends shopped at the Sale Depot for movies. Robby went on Monday and bought three movies for $15.36. Paula went on Wednesday and bought five movies for $27.40. Trey went on Thursday and bought four movies for $20.08. Madison went on Friday and bought six movies for $31.44.

Answers

Answer: See explanation

Step-by-step explanation:

You didn't say what you want to get but I'm guessing that you want to know who had the cheapest deal or the best deal.

Robby went on Monday and bought three movies for $15.36. The cost per movie will be:

= $15.36/3

= $5.12

Paula went on Wednesday and bought five movies for $27.40. The cost per movie will be:

= $27.40/5

= $5.48

Trey went on Thursday and bought four movies for $20.08. The cost per movie will be:

= $20.08/4

= $5.02

Madison went on Friday and bought six movies for $31.44. The cost per movie will be:

= $31.44/6

= $5.24

We can see that Trey had the best deal.

PLEASE HELP DUE AT 11:59

Answers

The answer would be D

The solution set of the equation 3x2+x = 9 is

Answers

Answer:

x=3

Step-by-step explanation:

hope this helps

write the following number in standard notation (decimal) 3.5 x 10^4

PLS HELP ASAP THIS IS FOR A TEST

Answers

Answer:

35000

Step-by-step explanation:

[tex]3.5 \times {10}^{4} \\ \\ = 3.5 \times 10000 \\ \\ = 35000[/tex]

2.25(p − 10) − 11 = 2.5
solve for p

Answers

Answer:

p=16

Step-by-step explanation:

The segments in each figure are tangent to the circle at the points shown.
Find each length.

Answers

Answer:

please post the figure then it will be easier to solve the problem

You have purchased a 30-pound case of lemons that has a count size of 96. About how many ounces would each lemon weigh?

Answers

Answer:

I think it would be 3.2 ounces because 96 divided by 30 is 3.2

Step-by-step explanation:

A workbook is 56 pages long.If each chapter is 8 pages long, how many chapters are there?

Answers

7 pages because 56 divided by 8 is 7

Answer:

7

Step-by-step explanation:

Work book pages: 56

Each Chapter : 8

56/8=7

7g + 4g + 3g − 13g + g = 10 please help!!

Answers

Combine like terms.


7g + 4g + 3g + g = 15g

15g - 13g = 2g


2g = 10


Divide by 2 on both sides.


g = 5

Answer: g=5

Step-by-step explanation:

Given

7g+4g+3g-13g+g=10

Combine like terms

2g=10

Divide 2 on both sides

2g/2=10/2

g=5

Hope this helps!! :)

Please let me know if you have any questions

please help me with this slope problem! :) (brainliest)

Answers

Answer:

Plot these points

(1,935)

(2,870)

(3,805)

(4,740)

(5,675)

Slope= -65

y intercept = 1000

and what it's saying is that we travel at a speed of 65 units an hour and we start 1000 miles away

Step-by-step explanation:

Just graph these points which you can get by plugging in the numbers

1000-65= 935

(1,935)

1000-65*2=870

(2,870)

1000-65*3= 805

(3,805)

1000-65*4=740

(4,740)

1000-65*5= 675

(5,675)

B:

y= mx+b where m is the slope and B is the y intercept

we can re write the equation as follows

-65x+1000

It's pretty clear that -65 is the slope and 1000 is the y intercept

Need both equations solved with explanation.

Answers

Solve for
x
x
by cross multiplying.
Exact Form:
x
=
1
2
x
=
1
2
Decimal Form:
x
=
0.5

BRAINLIESTTTTT PLS ANSWERRRRR
Solve the system of equations using substitution. Show all your work.
y = 9x +34
y = 16x –29

Answers

Answer:

x=9 and y=115

Step-by-step explanation:

Solve y=9x+34;y=16x−29

Steps:

I will solve your system by substitution.

y=9x+34;y=16x−29

Step: Solvey=9x+34for y:

Step: Substitute9x+34foryiny=16x−29:

y=16x−29

9x+34=16x−29

9x+34+−16x=16x−29+−16x(Add -16x to both sides)

−7x+34=−29

−7x+34+−34=−29+−34(Add -34 to both sides)

−7x=−63

−7x

−7

=

−63

−7

(Divide both sides by -7)

x=9

Step: Substitute9forxiny=9x+34:

y=9x+34

y=(9)(9)+34

y=115(Simplify both sides of the equation)

Hope this helps :)

Which relationship describes angles 1 and 2?

Answers

Answer:

Option B is your answer

Step-by-step explanation:

..


7. 8x - 4= 4(2x + 1) have how many solutions

Answers

Answer:

0

Step-by-step explanation:

Let's solve for x

8x-4=4(2x+1)

8x-4=8x+4

0= 8

This obviously isn't true and therefore there are 0 solution

Answer:

No solution as both side not equal.

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