Write an equation of the line that passes through (4, -5) and is perpendicular to
the line y = 2x +3

Answers

Answer 1

Hello there!

We are given the equation of the line

y=2x+3

What's the equation of the line perpendicular to it?

Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, make it negative, and flop it over.The slope of the line perpendicular to the given line is -1/2.Now that we have the slope of the line and a point that the line passes through, we can find the equation of the line.Write it in Point-Slope form:y-y1=m(x-x1)y-(-5)=-1/2(x-4)y+5=-1/2(x-4)y+5=-1/2x+2y=-1/2x+2-5y=-1/2x-3

Therefore, this is the equation. Hope it helps. Good luck.

To clarify any doubts, use the comment section.

Answered by

~A lonely teen who helps others joyfully

-Grace


Related Questions

Read aloude The price of a cell phone was reduced from $450 to $225. By what percentage was the price of the cell phone reduced? ​

Answers

Answer:

50% 250x2=450

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

$225 x 2 = 450

this means the cell phones price was reduced by 50%

glad to help ;)

Unit 8 right triangles and trigonometry homework 5

Answers

Answer: Bro. Thats not telling us anything

Step-by-step explanation:

Which list is in order from least to greatest?

Answers

Answer:

6/10 , 5/8 , 2/3

Step-by-step explanation:

The 3rd one

6/10 , 5/8 , 2/3

if you simplify them into fraction it will be :

0.6 , 0.625 , 0.666

HELP PLEASE!!!!! THIS IS DUE TODAY!!!!

Answers

Answer:

nonlinear

Step-by-step explanation:

it's a parabola

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

false

Step-by-step explanation:

Please help me fill in the blanks :) ​

Answers

Answer:

Absolute value is the distance from numbers on a number line. The absolute value of -7 is 7 b/c it is 7 units from 0. The absolute value of 5 is 5 b/c it is 5 units from 0.

A negative number is a number that is negative. On a horizontal number line negative numbers are to the left.

A positive number is a number that is positive. On a horizontal number line positive numbers are to the right.

I don't understand the last paragraph though. Hope this helped :D

Step-by-step explanation:

-15x = -75 I need HELP!!!!

Answers

Answer:

x=5

Step-by-step explanation:

You divide both sides by -15 which gives you a positive 5

As Trish and tan were traveling to the state cross country meet, they followed their progress along on a map. The map showed a scale of 1 inch equaling 60 miles. Their route’s total length on the map is 2 1/2 inches long. How far will they be traveling to the meet? Show your work.

Answers

(60x2)+30 = 150 miles

30 = 1/2 of 60 which is half an inch

60 x2 because he travels 2 inches

I really need help!
If two noncollinear segments on a coordinate plane have a slope of 3, what can you conclude?

Answers

Answer:

Two non co-linear segments with a slope of 3 in a coordinate plane would mean that the two segments are parallel to each other and not attached to each other. Having the same slope is the definition of being parallel in the same plane.

Step-by-step explanation:

PLZ HELP 100 POINTS AND BRAINLIEST PLZ HELP

Answers

Answer:

Step-by-step explanation:

number 6. (1-2+3)  - 4 + 5 = 3

Number 7. (1+2) +( 3+4 ) - 5 = 5

number 8. (1+2+3) - 4(5) = 10

5: (1+2)3 - 4 / 5 = 1

Answer:

5 --- 1 + 2 - 3 - 4 + 5 = 1

6 --- 1 - 2 + 3 - 4 + 5 = 3

7 --- [1 + (2 x 3 x 4)] / 5 = 5

8 --- [1 + 2 + (3 x 4)] - 5 = 10

Step-by-step explanation:

I didn't know if you needed brackets/parenthesis for the first two, that's just what I came up with

Find the domain and range of this mapping diagram.

Answers

Answer:

Domain: 3,4,5,6

Range: 7,9,11,13

Pairs: (3,7), (4,9), (5,11), (6,13)

Step-by-step explanation:

Plzzzz help meeee plzzzzzs

Answers

The answer is b because they are both the same length

Plzzzz help meeeee plzzzzzzzz

Answers

Answer:

$0.70

Step-by-step explanation:

70cents is the same as 70/100. so, this would be 0.70.

Hope this helps!

How do I solve this please look for the x and then the y

Answers

Answer:

x + y = 75

Step-by-step explanation:

2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is

2x - 5 + 75 = 180

2x + 70 = 180 ( subtract 70 from both sides )

2x = 110 ( divide both sides by 2 )

x = 55

Then

2x - 5 = 2(55) - 5 = 110 - 5 = 105

2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so

4y + 25 = 105 ( subtract 25 from both sides )

4y = 80 ( divide both sides by 4 )

y = 20

Then x + y = 55 + 20 = 75

The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions of the pool?

_____meters by ____ meters
PLEASEE HELPP MEE PLEASEEEE!

Answers

Half the perimeter is the length + the width

62/2 = 31

Area = length x width

16 + 15 = 31, 15 x 16 = 240

17 + 14 = 31, 17 x 14 = 238

20 + 11 = 31,  20 x 11 = 220

Answer: 20 meters x 11 meters

Miles bought 3.75 acres of land in 1993. In 1997, he bought enough land to double his property. Then in 2001, Mis was forced to sell 2.9 acres of land. In 2005, he gave 25% of his remaining land to his daughter. If he did not buy or sell and more land, how much land does miles have now.

A. 2.6 acres C. 7.8 acres
B. 3.45 acres D. 1.15 acres

Answers

Answer: B: 3.45

Step-by-step explanation: First, we take 3.75 and double it, or multiply it by 2 giving us 7.5, then, we subtract 2.9 from 7.5, giving us 4.6. then we take away 25% of 4.6, or 1.15, giving us *3.45*.

A circle has a radius of 10 ft. What is its circumference?
Use 3.14 for Ti, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Circumference of a circle = pi x diameter

pi = 3.14

diameter = radius x 2
diameter = 10 x 2
diameter = 20

Circumference = 3.14 x 20
Circumference = 62.8 ft

Answer:

62.8 ft

Step-by-step explanation:

Circumference = 2πr

2 * 3.14 * 10 = 62.8

May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?

Answers

Answer:

  65

Step-by-step explanation:

65 is a multiple of 5, so May can purchase 1 group of 65 bananas and 13 groups of 5 oranges to have 65 of each.

If 1/3 is classified as a rational number, does 10/3 fall on the same classification? Why and why not​

Answers

Answer:

Because it can't be written as a Ratio of two integers

There were 36 people in a school play. There were three times as many students in the play as teachers. How many students were in the play? How many teachers?

Answers

Answer:108

Step-by-step explanation:

36 times 3, right??

a=5 and b=-5 , 2ab-a^(2)

Answers

Answer:

Step-by-step explanation:

2(5)(-5)-(5)^2

=−75

Add 2 to me, multiply by 3, then subtract 3. Divide by 8, then subtract 7. You -4

Answers

Answer:

7.

Step-by-step explanation:

Reverse all operations. (Subtract = Add, Add = Subtract, Divide = Multiply, Multiply = Divide)

Add 7+-4 to get 3.

Multiply 8*3 to get 24.

Add 24+3 to get 27.

Divide 24/3 to get 9.

Subtract 9-2 to get 7.

Check the other way:

Add 7+2 to get 9.

Multiply 9*3 to get 27.

Subtract 27-3 to get 24.

Divide 24/8 to get 3.

Subtract 3-7 to get -4.

A two-digit number is 5 times the sum of its digits. If 9 is added to the number, its digits are reversed. Find the number​

Answers

Answer:

The number = 45

Step-by-step explanation:

Let the 10s digit = x

Let the units digit = y

10*x + y = 5(x + y)                        Start here: remove the brackets

10*x + y + 9 = 10y + x                   Subtract y and 10x from both sides

Using the first equation

10x + y = 5x + 5y

5x + y - 5y = 0

5x - 4y = 0

5x = 4y

y = 5/4x

From the second equation

9 = 9y - 9x

1 = y - x           Substitute y = 5/4 x

1 = 5/4x - x

1 = 1/4  x

x = 4

y = 5/4 * 4

y = 5.

$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 12% by $984.34, how much is invested at each rate? (Round to two decimal places if necessary.)

Answers

Answer:

492.99

Step-by-step explanation: x = amount invested at 12%

y = amount invested at 9%

---

x + y = 20287

0.12x = 0.09y + 492.99

---

put the system of linear equations into standard form

---

x + y = 20287

0.12x - 0.09y = 492.99

The amount invested at 14% is $4144 and the amount invested at 12% is $9894.

What is simple interest?

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

We are given that;

Investment at 14%= $14,038

Investment at 12%= $984.34

Now,

Let x be the amount invested at 14% and y be the amount invested at 12%. Then we have:

x + y = 14038 (total amount invested)

0.14x - 0.12y = 984.34 (difference in interest)

We can solve this system of equations by substitution or elimination. For example, by elimination, we can multiply the first equation by 0.12 and subtract it from the second equation to get:

0.02x = 82.88

x = 4144

Then we can plug x into the first equation and get:

y = 14038 - 4144

y = 9894

Therefore, the simple interest will be $4144 and $9894.

Learn more about simple interest here;

https://brainly.com/question/1548909

#SPJ2

i don’t know what i’m doing lol

Answers

X=2

To find this I looked at the 6 and 4.
I found a common denominator, 2 in this case, and divided. This gave me 3 and 2. So, we already know x=2.

If you don’t understand, let me know

Write an equation to represent the image.

Answers

Answer:

m+1/4=2/3

Step-by-step explanation:

please mark me as brainlest

What is the measure of the angle in the polygon shown below?A.B.C.D.​

Answers

C.130°

Answer:

Solution given:

no of sides(n)=6

now

total interior angle of polygon having 6 sides is

(n-2)*180=(6-2)*180=4*180=720°

we have

Sum of interior angle of polygon: 720°

130°+100°+130°+130°+100°+?=720°

590°+?=720°

?=720°-590°

?=130°

You have a cylindrical pond that has a diameter of 24 feet and has a depth of 6 feet. If you need to fill the pond three-quarters of the way up with water and water costs $2.50 per cubic foot, how much will you need to spend to fill the pond?

Answers

Answer:

$5089.38

Step-by-step explanation:

Given cylinder with:

d = 24 ft, h = 6 ft

We need to fill it up to:

h = 6 ft * 3/4 = 4.5 ft

The volume is:

V = πr²h = π(d/2)²h = π*(24/2)²*(4.5) = 2035.75 ft³ (rounded)

You need to spend:

2035.75 * $2.50 = $5089.38  (rounded)

A scientist counted 3,921 total eggs in
49 sea turtle nests. Each nest had about
the same number of eggs. Which is the
best estimate of the number of eggs
she counted in each eggs?

Answers

The answer is 80 eggs:) if you divide 3,921 and 80 you get 49

Anyone able to help
Just question 6 please

Answers

Answer:

C)

Step-by-step explanation:

Have a great day

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