Write an equation of the line passing through point A(6,-1) that is perpendicular to line y= -2x + 8. what does Y equal? Y=?

Answers

Answer 1

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 8 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = 3 + c ⇒ c = - 1 - 3 = - 4

y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line


Related Questions

Two negative integers have a sum of -18 and a
product of 80. What are the integers?
Separate the answers with a coma.

Answers

Answer:

-10, -8

Step-by-step explanation:

a + b = -18

a * b = 80

Solve:

from the first eq.

a = 18 - b

replacing this value in the secon eq.

(18-b)*b = 80

18*b + b*-b = 80

-b² + 18b = 80

-b² + 18b - 80 = 0

b = {-18±√((18)² - (4*-1*-80))] /(2*-1)

b = {-18±√(324.320)} / -2

b = {-18±√4} / -2

b = {-18±2} / -2

b₁ = {-18-2} / -2 = -20/-2 = 10

b₂ = {-18+2} / -2 = -16/-2 = 8

The two number must be negatives, so the numbers are:

-10 and -8

Check:

-10 + (-8) = -10 - 8 = -18

-10*-8 = 80

Sam paid $50 for her new skateboard. In addition, she paid $3.50 in taxes. What was the tax rate on Sam's purchase?

Answers

Answer: $53.50 ?

Step-by-step explanation:

the other two options are…
c. Function A and function B both have two real solutions.
d.The vertex of function A is lower on the graph than the vertex of function B.
GIVING BRAINLIEST IF FAST

Answers

It’s B

Explanation: use desmos or trust me lol

what percent increase is 1/3 to 1/6

Answers

Answer:

50% increase

Step-by-step explanation:

half of 6 is 3 thus 50%, and vise versa.

5x/2 - 3x/4 = 10 1/2
how to solve this? ​

Answers

[tex] \frac{5x}{2} - \frac{3x}{4} = 10 \frac{1}{2} \\ [/tex]

[tex] \frac{5x}{2} - \frac{3x}{4} = \frac{21}{2} \\ [/tex]

Multiply both sides by 4

[tex]4 \times ( \frac{5x}{2} - \frac{3x}{4} ) = 4 \times \frac{21}{2} \\ [/tex]

[tex]10x - 3x = 42[/tex]

[tex]7x = 42[/tex]

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{42}{7} \\ [/tex]

[tex]x = 6[/tex]

what is 13 divied it by 2

Answers

Answer:

6.5

Step-by-step explanation:

6.5 is 13 divided by 2. You can check your work by adding 6.5 to 6.5 or multiplying 6.5 by 2

Maria earns $12/hour as a store clerk. This week she worked 49 hours. Estimate her
gross wage for her 2 week pay period, assuming she worked 40 hours last week?

Answers

Answer:

a= $1,068 without overtime pay

b= $1,122 with overtime pay

Step-by-step explanation:

[tex]a = (12 \times 49) + (12 \times 40) \\ = 1068[/tex]

[tex]b = (9(12 \times 1.5) + (12 \times 40)) + (12 \times 40)\\ = 1122[/tex]

х2 + 2x, 3х + 5, x2 + 1, 6x - 4

Answers

Answess

Step-by-step explanation:

Check all that apply F(x) = 3/x(x-5)(x+1)

Answers

Answer:

Options A, D, and E (0, 5, -1)

Step-by-step explanation:

A vertical asymptote is located where the denominator is equal to 0. Therefore, x=0, x=5, and x=-1 are all vertical asymptotes.

What is the mass of a litter of 9 baby opossums?

Answers

Answer:

It is approximately 0.13 grams.

The ratio of three numbers is 4 : 1 : 7. The sum of the numbers is 24. What are the three numbers?

Answers

Answer:

8, 2, 14

Step-by-step explanation:

sum the parts of the ratio, 4 + 1 + 7 = 12 parts , then

24 ÷ 12 = 2 ← value of 1 part of the ratio, then

4 parts = 4 × 2 = 8

7 parts = 7 × 2 = 14

The 3 numbers are 8, 2, 14

PLEASE ANSWER AS SOON AS YOU SEE THIS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Which expression is equivalent to 5 (2 + 7)? 2 (5 + 7) 2 + 7 (5) 5 (2) + 7 5 (2) + 5 (7)

Answers

Answer:

D. 5 (2) + 5 (7)

Step-by-step explanation:

Given expression:

5(2 + 7)

Distribute this to get:

a(b + c) = ab + ac5(2 + 7) = 5(2) + 5(7)

Correct choice is D

Answer:

D. 5 (2) + 5 (7)

Step-by-step explanation:

Given expression:

• 5(2 + 7)

Distribute this to get:

• a(b + c) = ab + ac

• 5(2 + 7) = 5(2) + 5(7)

correct choice is D

-3(3 - 10x) please help, distributive property.

Answers

Answer:

-9 +30x

Step-by-step explanation:

-3(3) = -9

-3(-10x) = 30x

-9 +30x

Hope that helps

What is the value of (225 ÷ 0.25) – 11.875 written to two decimal places.(2d.p.)​

Answers

888.125 is the answer just use your calculator

Answer:

Step-by-step explanation:

888.13

Find the size of unknown angles ​

Answers

Answer:

hope it helps.

plzz give me brainliest

This is my last question I need help please

Answers

Answer:

.11

Step-by-step explanation:

it is correct

Answer:

A) $.11

Step-by-step explanation:

A dozen = 12

To find unit cost you divide cost of items by # of items

In this case we have 12 eggs that cost 1.35

So unit cost = 1.35 / 12 = .11

Combine the like terms to create an equivalent expression.
\large{9y+y}9y+y

Answers

Answer:

20y

Step-by-step explanation:

If someone has a cylindrical container filled to the top with water and pours the water in a cone with the same diameter, d= 6in, and height, h=14 in, into the cone, what is the volume of water left in the cylinder?

Answers

Answer:

6.2

Step-by-step explanation: TOOK THE TEST

Triangle J K L is shown. Point M is the midpoint of side K L and point J is the midpoint of side J L. The length of K J is 12.8 meters, the lengths of J N and N L are 3.7 meters, and the lengths of K M and M L are 5.9 meters. Which statements about triangle JKL are true? Select two options. M is the midpoint of line segment KJ. N is the midpoint of line segment JL. MN = One-halfKJ MN = 4.4m MN = ML

Answers

Answer:

1 and 3

Step-by-step explanation:

Answer:

B) N is the midpoint of line segment JL.

D) MN = 1/2 KJ

Step-by-step explanation:

edgeeee

more fr33 points for u amazing people, stream scientist by twice while ur at it!!!! :))

Answers

Answer:

ye

Step-by-step explanation:

aaaa thank you fellow kpop fan

Find the circumference of a circle with a radius of 2.4 m

Answers

Answer:

here,

circumference of circle (c)=2πr

=2×22÷7×2.4

15.0857143.

Which is an example of nonverbal communication?

O A. Test questions

O B. An outline

O C. Words like please

O D. Body posture

Answers

Body posture, because when you are slouching while listening to someone it is likely that you are uninterested or bored as an example.
Hope this helps. Pls give me the brainliest if it does.

please help i will give brainliest

Answers

Answer:

because AB//DE

so DÊC=BÂC ( 2 straight lines are parallel and have the same internal angle)

because ACD is the outer angle of the triangle ABC so ACD= ABC+BÂC

because DÊC=BÂC

so ACD= ABC+ DÊC

25*10to the power of 6 in standard form

Answers

Answer:

2.5 x 10^7

Step-by-step explanation:

Please help in this!

Answers

Step-by-step explanation:

Correct option is C)

41−

21+

19−

9

=

41−

21+

19−3

=

41−

21+

16

=

41−

21+4

=

41−

25

=

41−5

=

36

=6

[tex] \sqrt{41 - \sqrt{21 + \sqrt{19 - \sqrt{9} } } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{19 - 3} } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{16} } } \\ = \sqrt{41 - \sqrt{21 + 4 } } \\ = \sqrt{41 - \sqrt{25} } \\ = \sqrt{41 - 5} \\ = \sqrt{36} \\ = 6[/tex]

Answer:

a) 6

Hope you could get an idea from here.

Doubt clarification - use comment section.

Choose the point-slope form of the equation below that
epresents the line that passes through the points (-6, 4) and (2,
0). (2 points)

•y -4= - 1/2 (x+6)

•y-4= 2(x+6)

•y+6= - 1/2(x-4)

•y+6= 2(x-4)

Answers

Answer:

A) y-4=-1/2(x+6)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(0-4)/(2-(-6))

m=-4/(2+6)

m=-4/8

simplify

m=-1/2

y-y1=m(x-x1)

y-4=-1/2(x-(-6))

y-4=-1/2(x+6)

The sales tax on a surfboard is $12 what is the percent of sales tax?

Answers

The percent of the sales tax would be 5%.

a number cube is rolled.what is the probability of rolling a number greater than 4​

Answers

Answer: 2/6

Step-by-step explanation:

There’s only 2 numbers greater than 4 on a die, so two would be the numerator and the denominator would be the number of possibilities you could roll, which is 1-6.

2/6, 1/3, or approx. 33.3%

A number cube will have six sides and two out of six will be greater than four, therefore, there is around a 33.3% chance you will roll a number greater than 4. :)

Please someone help meee! It’s advanced algebra

Answers

Answer: I think it would be 80 feet I hole I’m correct.

Step-by-step explanation: So to explain 20 + 50 is 80 and that’s how I got the answer I am not 100% sure but I wanted to help you :-)

1 point
#8. What is the slope of a graph that passes through (5,5) and (5, -7)? *
0
-12
- 12/0
Undefined
12

Answers

Answer:

The answer is undefined

Because it passes through x

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