write an equation in slope-intercept form for the line that passes through (-2,5) and is perpendicular to the line described by y=-2x+6

Answers

Answer 1

Answer:

        y = ¹/₂x + 6

Step-by-step explanation:

The product of slopes of perpendicular lines is -1

y = - 2x + 6  ⇒   m₁ = - 2

m₁m₂ = -1

-2m₂ = -1

m₂ = ⁻¹/₋₂ = ¹/₂

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = ¹/₂

(-2, 5)  ⇒  x₁ = -2,  y₁ = 5

So the equation in point-slope form:

                                                  y - 5 = ¹/₂(x - (-2))

Therefore:

y - 5 = ¹/₂x + 1

y = ¹/₂x + 1 + 5

y = ¹/₂x + 6

Related Questions

-9 + p/2= -13
(two step equations, show your work)

Answers

Answer:

p=−8

Step-by-step explanation:

Regroup terms.

p /2 −9=−13

Add 9 to both sides.

p/2  =−13+9

Simplify  -13+9 to −4.

p/2=−4

Multiply both sides by 2.

p=−4×2

Simplify  4×2  to  8

p=−8

.

A drain empties a bathtub at a rate of 0.5 gallons per minute. A
30-gallon tub was full and the shower head was turned off,
how long would it take the tub to empty through the partly
unplugged drain?

Answers

I’m gonna say an hour

convert to logarithmic form pls!! :))

Answers

Answer:

16=(2/3)

Step-by-step explanation:

convert the exponential to a logarithmic equation using the loarithmic base (64) of the right side (16) equals the exponent (2/3)

A rectangle has an area of 22.64 inches squared. If the coordinates of one of its sides are (0, 0) and (4, 4), what are the dimensions of the rectangle?

(Please only answer if you know how to solve it and maybe know an app, don't answer just because you want the points.)

Answers

Answer:

width= 4

hieght- 5.65

Step-by-step explanation:

so first lets find the diestnce between 0,0 and 4,4

which is 4 root 2

which is approciamitlty 5.65 and this would be the hieght

the width would be 22.64/5.65= approxiamitly 4

 if you found my answer helpful please mark as brainliest.

Can someone please help
Evaluate the function.

Answers

Answer:

Hello I'm pretty sure the answer is 20

Hope This Helps :D

Please let me know if I am incorrect pretty sure its right tho

Answer:

f(1) = 32

Step-by-step explanation:

f(x) = 4x^2 + 3x + 13

4(1)^2 + 3(1) + 13

4^2 + 3 + 13

16 + 3 + 13 = 32

1/2(5x−8)=21 solve for x and brainliest

Answers

Answer:

x=10

Step-by-step explanation:

see picture for explanation

How would you express the area of the rectangle using the Distributive Property?

Answers

Answer:

C

Step-by-step explanation:

Step 1: Find your legth and width

Length = x + 5

Width = 3

Step 2: Use area formula to find area

l x w = A

(x + 5) x 3 = A

A = 3(x+5)

Step 3: Therefore Statement

Thereforethe answer to the question is C. 3(x+5)

Answer:

C. 3(x + 5)

Step-by-step explanation:

area of rectangle = length * width = width * length

A = area of largest rectangle

a1 = area of left rectangle

a2 = area of right triangle

The largest rectangle is made up of the the two smaller rectangles.

A = a1 + a2

Left rectangle: a1 = WL = 3x

Right rectangle: a2 = WL = 3 * 5

Total area of the two small rectangles:

A = a1 + a2 = 3x + 3 * 5

Apply the distributive property in reverse to 3x + 3 * 5 by factoring out a 3:

A = 3x + 3 * 5 = 3(x + 5)

The area of the largest rectangle is 3(x + 5)

We can also find an expression for the area of the largest rectangle directly by looking at its length and width.

The length of the largest rectangle is x + 5.

The width of the largest rectangle is 3.

A = WL

Substitute 3 for W, the width.

Substitute x + 5 for L, the length.

A = 3(x + 5)

Answer: C. 3(x + 5)

Suppose cos(x)=-1/3, where pi/2≤x≤ pi. What is the value of tan(2x)?

Answers

Answer:

4√2/7

Step-by-step explanation:

Suppose cos(x)=-1/3, where pi/2≤x≤ pi

tan(2x) = sin(2x)/cos(2x)

Since sin2x = 2sinx cosx

cos 2x = 2cos²x-1

Substitute

tan(2x) = 2sinx cosx/ 2cos²x-1

Given cosx = -1/3

adjacent = -1

hyp = 3

opp = √3²-(-1)²

opp = √9-1

opp = √8

sinx = opp/hyp

sinx = √8/3

tan(2x) = 2sinx cosx/ 2cos²x-1

tan(2x) = 2(√8/3)(-1/3)/ 2(-1/3)²-1

tan2x= (-2√8/9 )÷ (2/9 - 1)

tan2x = -4√2/9 * 9/-7

tan 2x = 4√2/7

8 + h = -2

Help plzzzzz

Answers

Answer:

h= -10

Step-by-step explanation:

Basically you’re finding out what h is equal to because h can’t be a real number i guess i would say. It is but it also isn’t if that makes sense. Basically just subtract 8 on both sides ands you get your answer. Hope this helped :)

please help me if you can please

Answers

Answer:

17. m=-1/2

18. m=-1

Step-by-step explanation:

The island has 600 bikes and 900 people. What is the bike to person ratio

Answers

Answer:

2:3 (2 bikes for every 3 people)

Step-by-step explanation:

hope this helps

I am very curious friends, while we Turks are studying English, if you do not see Turkish lessons, which course do you see?

Answers

Başka hangi dil derslerini gördüğümü kastediyorsan, Fransızca ve Arapça görüyorum

When is choosing a sample from a population least likely to be appropriate? Select two options,
when the population is small
when the population is large
when the sample contains proportions of items/events/people that are different from those of the population
when the sample contains only items/events/people that reflect the population
when surveying the entire population is time consuming
Mark this and totum
Save and Exit
Next
SER

Answers

Answer:

A c

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

Took the unit test review got it right.

MATH HELP! BRAINLIESTT!!

Answers

Answer:

14

Hope it helps

.......⋋✿ ⁰ o ⁰ ✿⋌

Answer:

n = 14

Step-by-step explanation:

ΔABC was dilated by a scale factor of 2.

Someone please help and make sure the answer right :)

Answers

Answer:

It's 10

Step-by-step explanation:

It's 10 because 7x is congruent to 70 and 7 times 10 equals 70 :))

Answer:

It's 10

Step-by-step explanation:

It's 10 buddy lol

please solve!! i need an 100 on this!

Answers

Answer:

cos 30=b/h=√3/2.......(1)

sin30=p/b=1/2.......(2)

we need b=?

h=2b/√3. h=2√2

now.....2b/√3=2√2

b=mBC=√6

A cell phone provider offers a plan that costs $20 per month plus $0.20 per text message sent or received. A comparable plan costs
$30 per month but offers unlimited text messaging. Complete parts a. and b. below.
a. How many text messages would have to be sent or received in order for the plans to cost the same each month?
In order for the plans to cost the same.
text messages would have to be sent or received
b. If you send or receive an average of 200 text messages each month which plan would you choose and why?​

Answers

Answer:

Step-by-step explanation:

a)

30=20+0.2m

10=0.2m

50=m

So after sending 20 messages the plans would cost the same.

b)

Obviously from the first part that the unlimited plan is cheaper when sending 200 messages, but the costs numerically would be.

Unlimited plan costs $30 while the other plan costs

20+0.2(200)=$60

They would have sent 5

Based on the graph, what is the initial value of the linear relationship?

A coordinate plane is shown. A line passes through the y-axis at -2 and the x-axis at 3.

−2
0
two over three
3
Question 4(Multiple Choice Worth 4 points)
(05.05)Which scenario best matches the linear relationship expressed in the equation y = 32x + 80?

Joseph has $80 in his bank account and spends $32 each day.
Joseph has $80 in his bank account and earns $32 each day.
Joseph had $32 in his bank account and deposited another $80.
Joseph has $32 in his bank account and earns $80 each day.
Question 5(Multiple Choice Worth 4 points)
(05.05)David and Amanda are trying to figure out how long they can live off their $12,350 savings if they spend $240 each month. They have each created an equation.


David’s Equation Amanda’s Equation
y = 12,350 – (240x) y = 12,350 + (240x)


Which person has the correct equation to model this linear relationship?
Amanda’s equation is correct, because their spending will be multiplied by the number of months and then added to their savings.
Amanda’s equation is incorrect, because their spending will increase the amount of their savings.
David’s equation is correct, because their spending will be multiplied by the number of months and then subtracted from their savings.
David’s equation is incorrect, because their spending should be a fixed amount and should not be multiplied.
You must check the box below prior to submitting your exam!

Check this box to indicate you are ready to submit your exam

Answers

Answer:

please help me please yh the picture and answers

I need help in math lol

Answers

Answer:

Angle LGM

Step-by-step explanation:

by linear pair

The set of numbers 1, 7, 11 and 36 contains values for n. What value of n makes the equation below true? 4n + 8 = 36

A) 1
B) 7
C) 11
D) 36

Answers

The answer is B
4(7)+8=36
28+8=36
36=36

which system of equations graphed below has a solution of (2,1)​

Answers

Answer:

Sorry to say this... but neither of them have a solution of (2,1)

Step-by-step explanation:

The top one has a solution of (-2,-1). The one on the bottom has a solution of (-2,1). So... I'm not sure how this can help... but yeah...

Prompt Explain how new technologies like machine guns, airplanes, tanks, and poison gas led to so many million deaths during World War I.​

Answers

Might Help:

The machine gun and the tank were new technologies that influenced WW1 the most. The machine gun lengthened the war and forced it to become a trench war. The bullets in a machine gun could shoot 500 bullets per minute therefor making it much more difficult for the rivalry county to fight back.

Mike sells computers.
The table shows how many he sold each quarter over a three-year period.
Quarter 1 Quarter 2 Quarter 3 Quarter 4 TOTAL
2015
12
9
21
25
2016
15
10
17
19
2017
8
5
23
35
TOTAL
a) Complete the table.
b) In which year did he sell the most computers?
c) In which quarter did he sell the least computers?

Answers

Answer:

A. It's already done

B: 2017

C: Quarter 2 (2017)

Step-by-step explanation:

Total:

2015: 67 pc

2016: 61 pc

2017: 71 pc

A: Done

B: 2017

C: Quarter 2 (2017)

please help me ! not sure what to do. i also need to show steps

Answers

Answer:

70 degrees

Step-by-step explanation:

The exterior angle in a triangle is equal to the sum of the two opposite interior angles

So,

the two interior angles in the question are U and T while the exterior angle is V.

Using this,

U+T =V

U+50 = 120

(make U the subject of formula)

U = 120 - 50

U = 70 degrees

What is the zero of h(x) = 3x - 3?

Answers

Its [tex]0=3x-3\implies 3x=3\implies x=1[/tex].

Jenna uses 6.1 pints of white paint and blue paint to paint her bedroom walls. 4/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?

Answers

Answer:

2.44 pints of white

Step-by-step explanation:

Will has a spinner with six equal sections numbered one through six. If Will spins the spinner 150 times, how many times can he expect to spin a number less than 5?

A)30
B)110
C)100
D) 25


pls hurry!!!

Answers

Answer:30

Step-by-step explanation:

30 times he can expect to spin a number less than 5.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

A spinner with six section numbered from 1 to 6.

total number of times spins = 150

So, the number of times the number comes less than 5 is

= 150 x 1/5

= 150/5

= 30

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ6

PLZ HELP
Which is the best estimate for the amount of liquid a watering can holds?



5 ounces


5 cups


5 quarts


5 gallons

Answers

Answer:

5 quartz would make the most sense, hope this helps

Step-by-step explanation:

properties of isosceles triangle:)

i’ll give a brainiest

Answers

Answer:

2 sides re equal

and 2 base angles are equal

Mark it as the brainliest answer

please thanks

If 8 men on a construction crew make up 40% percent of the entire crew, how many people are in the crew?

Could someone explain this question to me? I don't get it at all

Answers

Answer:

Step-by-step explanation:

Since 40% of the crew are men, which means n. 40=8 n=8/. 40 n=20 total number of crew 20 - 8=12 are women

x(0.4)=8
x=8/0.4
x=20
so there’s 20 people in the crew
hope this helps !
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