write the equation of the line that passes through the point (2,-3) and is perpendicular to the line y=-2x+3. And how do you find it?

Answers

Answer 1

Answer:

y=2x-7

Step-by-step explanation:

The easiest way to answer this would be by using the slope-intercept form equation, y=mx+b. In this case, we can use our given in information to plug in values and find the equation.

Firstly, let's assess what know and what we don't:

Given the point (2,-3), we know that x=2 and y=-3. Now the slope for a perpendicular line can be found using a negative reciprocal, since the product of the slopes of both lines should equal -1. Therefore the slope must be 2.

All that's left is b, the y-intercept. To solve for this, we simply plug in what we have.

y=mx+b

-3=2(2)+b

-3=4+b

-3-4=b

-7=b

Now that we have b, we can write the equation:

y=2x-7


Related Questions

Which is more, 1 pint or 16 fluid ounces?

Answers

Answer:

they are the same

Step-by-step explanation:

Answer:

there the same I think. sorry if its wrong

(4x²-23x-16) : (x+5)

Answers

Answer:

4x^3+26x^2-39x-195

Step-by-step explanation:

Answer:

-22x + 4x²- 11

Step-by-step explanation:

1(4x²-23x-16) (x+5)

4x²-23-16 + x +5

-23+ x +4x² - 16+5

-22x + 4x² - 11

Couch and coffee table cost a total of $996. The cost of the couch is two times the cost of the coffee table find the cost of each item.

Answers

Answer:500

Step-by-step explanation:

increase 19060 by 9%

Answers

Answer:

0.05

Step-by-step explanation:

brainliest plz

The cost of a car rental is ​$25 per day plus 22 per mile. You are on a daily budget of ​$90. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other​ two-step inequalities with the same solutions.

Answers

Answer: You can drive, at most, 2.95 miles per day.

x ≤ 2.95

Step-by-step explanation:

In a single day, you can spend at most $90

Then if C represents the cost of renting the car, then we will have the inequality:

C ≤ $90

Now let's find the equation for C.

We know that we have a fixed cost of $25 plus $22 per mile, then if you drive x miles, the total cost will be $25 plus x times $22, or:

C = $25 + x*$22.

We can now replace that in the inequality:

$25 + x*$22 ≤ $90

Now let's isolate the variable x

x*$22 ≤ $90 - $25

x*$22 ≤ $65

x ≤ $65/$22 = 2.95

x ≤ 2.95

You can drive at most, 2.95 miles per day.

To find other inequalities with the same solution we can start with the solution:

x ≤ 2.95

Now let's multiply both sides by a number (the units of the number can be dollars, in that way we can make a similar problem)

Let's multiply both sides by $10:

x*$10 ≤ 2.95*$10 = $29.5

x*$10 ≤ $29.5

Now let's add the same number in both sides, for example, $5.

x*$10 + $5 ≤ $29.5 + $5 = $34.5

x*$10 + $5 ≤ $34.5

We could write this problem as:

"To rent a cab in your city, you have an initial cost of $5, plus $10 for each mile driven. How many miles could you drive if at most you can spend $34.50?"

You could be more creative with the problem, but this is the way in which you can craft problems of this type when you already know the solution.

find the zeros of the function by factoring 3x^2+ 10x=8​

Answers

Answer:

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

Step-by-step explanation:

hope this helps!

Given points H, I and J and HI = 9,1J = 9 and HJ = 16 . Are the three points collinear?​

Answers

Answer:

Yes, the three points are collinear.

Step-by-step explanation:

None.

Simply please will give brainlist to first correct answer

Answers

The answer is a -2 -5i

PLEASE HELP!!!20PTS
Select the function that's represented in the graph.
Question options:

A)

ƒ(x) = (x + 3)2 – 5

B)

ƒ(x) = 3(x + 3)2 – 5

C)

ƒ(x) = (x – 3)2 – 5

D)

ƒ(x) = 3(x – 3)2 – 5

Answers

Answer:

I think its B I am not sure though

Step-by-step explanation:

hope this helped!

Answer:

D  ƒ(x) = 3(x – 3)^2 – 5

Step-by-step explanation:

taking quiz using phototmath lol

7th grade math help me please :))

Answers

Answer:

a) 23x

b) 8n

c) -6y

d) -17w

Explanation:

When combining like terms, if there is an addition operator, add both coefficients and carry the variable over. If there is a subtraction operator, subtract both coefficients and carry the variable over. Remember, you can only combine like terms if the variable, and exponent are the same. The addition and subtraction symbols are examples of an operator used in arithmetic. For example, 9x + 14x could be like adding 9 objects and 14 objects together, you have 23 objects total because 9 + 14 = 23. When you add negative numbers, it is like subtracting. When you subtract negative numbers, it is like adding. Negative just means opposite.

a) 9x + 14x = (9+14)x = (23)x = 23x

b) -2n - 10n = (-2+10)n = (8)n = 8n

c) 8y - 14y = (8-14)y = (-6)y = -6y

d) -6w - 11w = (-6-11)w = (-17)w = -17w

Answer:

a: 23x

b: 8n

c: -6y

d: -17w

Step-by-step explanation:

you just add/subtract the numbers then add the variable at the end

Tash conducted a survey of the students in her school.
From the results, Tash calculated that 60% of the
students go to school by bus.
Lian knows that 450 students go to school by bus.
How can she use the information to find the number of
students in the school?

Answers

Answer:

The total number of students in the school is 750. You can use algebraic equation to calculate the number of the students. Let x be the total number of students in the school. Hope this helps.

What value could you write in after 3x that would make the equation true for all values of x?
3x+12 = 3x+

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Identity property/ Associative Property

30 points! RIGHT ANSWER GETS BRAINLIEST!

Use 3 for pi. Area= (blank) circumference= (blank) meters

Answers

Answer:

Step-by-step explanation:

pi x 7 squared = 153.938040026

Y varies with x. When y=39, x=3. Find the value of y when x=2

Answers

Answer:

[tex] \frac{39}{y} = \frac{3}{2} \\ y = \frac{39 \times 2}{3} \\ \boxed{y = 26}[/tex]

26 is the right answer.

What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?

Answers

The equation of the line that passes through the point(1, 3) and is perpendicular to the line 2x + 3y = 15 is y = 3 / 2x + 3 / 2.

How to find the equation of a line perpendicular to another?

The line passing through (1, 3) is perpendicular to the equation 2x+3y=15.

Therefore,

y = mx + b

where

m = slopeb = y-intercept

Hence,

3y = -2x + 15

y = -2 / 3 x + 5

For line to be perpendicular it must follow the following rules;

m₁m₂ = -1

m₁(-2 / 3) = -1

-2m₁ = -3

m₁ = 3 / 2

Therefore, the equation can be found as follows:

3 = 3 / 2(1) + b

3 = 3 / 2 + b

b = 3 - 3 / 2

b = 6 - 3 / 2

b = 3 / 2

Hence,

y = 3 / 2x + 3 / 2

learn more on equation of a line here: https://brainly.com/question/21511618

#SPJ2

Decimal or fraction form round all the way!

Answers

Answer:

The answer to the question provided is

[tex] \frac{1}{4} [/tex]

Harry purchased a table with Rs. 7000 and sold it at an amount of Rs. 7900. Find his gain percent.​

Answers

Answer:

12%

Step-by-step explanation:

Answer:

12.89%

Step-by-step explanation:

[tex] \frac{900}{7000} \times 100 = 12.85714286[/tex]

An airplane ascended into the sky to a steady altitude of 35000 feet. The same plane descended to a steady altitude of 32000 feet. How many feet did the airplane descend

Answers

Answer:

3000 feets

Step-by-step explanation:

Given that :

Initial Ascent to steady altitude = 35,000 feets

Descent to steady altitude = 32,000 feets

Number of feets the plane descend :

(Initial ascent to steady altitude - descent to steady altitude)

(35000 - 32000) feets = 3,000 feets

A cake was sliced into 8 parts. If each of these kids gets a slice of cake, what part of the cake will be left? Will the remaining cake be enough if there will be 5 more kids coming?

Answers

Step-by-step explanation:

Hello can you please give the amount of kids first?

For fx), evaluate the following:
a. (0)
b. (6)

Answers

Answer:

a. f(0) = 4

b. f(6) = 8

Step-by-step explanation:

Let us solve the question

f(x) = x + 4 if x < 5 First part

→ That means if x less then 5 we will use this part of f(x)

f(x) = 8 if 5 ≤ x < 7 Second part

→ That means if x = 5 or greater than 5 and less than 7, we will use

   this part of f(x)

f(x) = 2x - 1 if 7 ≤ x ≤ 10Third part

→ That means if x equal 7 or greater than 7 and less than 10 or equal 10,

   we will use this part of f(x)

a. The value of f(0)

x = 0

∵ 0 < 5

→ That means we will use the first part of f(x)

∵ f(x) = x + 4

∴ f(0) = 0 + 4

f(0) = 4

b. The value of f(6)

x = 6

∵ 6 is between 5 and 7

→ That means we will use the second part of f(x)

∵ f(x) = 8

→ It means the value of f(x) is 8 for any values of x from 5 to less than 7

f(6) = 8

fifteen more than twice a number is -23

Answers

Answer:

15+2x=-23

Step-by-step explanation:

Answer:

15+2x=-23  

Step-by-step explanation:

HELPPP

Ali and Jake went on a cross-country
trip. They took a train part of the way,
and took a bus the rest of the way. They
traveled a total of 1100 kilometers,
riding on the train 350 more kilometers
than on the bus.
Let x = kilometers traveled by bus. Let
y = kilometers traveled by train.

Answers

Answer:

so what are we trying to figure out?

Step-by-step explanation:

2) 50 apples cost $25. How much would 75 apples cost?

Answers

Answer:

50 : 25 = 75 : 37.50

Step-by-step explanation:

If 50 apples cost $25, that means 2 apples cost $1.

75 apples cost 37.5, or $37.50

Serenity is moving and must rent a truck. There is an initial charge for the rental plus a fee per mile driven. The total cost of renting the truck can be modeled by the equation C=50+2.75m,C=50+2.75m, where mm is the number of miles driven. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

Step-by-step explanation:

102.77

7x ( 3 x 4) = ( 7 x 3) x4

what property

Commutative
Identity
Associative
Distributive

i’ll give the brain thing

Answers

Commutative, because no matter how you group the equation you will still get to same answer

Howie works at a petting zoo. He fed a piglet 1/5 of a bottle of milk then gave 3/4 of what was left to the calf. How much of the bottle of milk did the calf drink

Answers

Answer:

[tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.

Step-by-step explanation:

Part of the bottle fed by the piglet = [tex]\frac{1}{5}[/tex]

Milk left in the bottle = 1 - [tex]\frac{1}{5}[/tex]

                                  = [tex]\frac{5-1}{5}[/tex]

                                  = [tex]\frac{4}{5}[/tex]

Milk drunk by the calf = [tex]\frac{3}{4}[/tex]th of the left part

                                     = [tex]\frac{3}{4}\times \frac{4}{5}[/tex]

                                     = [tex]\frac{3}{5}[/tex]th part of the bottle

Therefore, [tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.

OMG HELP OMG HELP OMG HELP

Answers

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3 bouquets of 3$ is 3*3 = 3^2

4 bouquets of 2$ = 2 * 4

Can u pls help me with this question

Answers

18.1 i have to keep typing bc it’s required to be 20 characters long so ignore this

pls help. i have to write it in exponential form

Answers

X × X - X × X × X × X × X + 17= X × X × X + 2

Jeff spends half of his paycheck he gives 1/3 of the remaining money to the charity and put the rest in the bank what fraction does he put in the bank

Answers

Jeff put 1/6 into his bank. You first make the fractions into common denominators. The nearest number that works would be 15. 1/3 changes into 5/15, 1/2 becomes 7.5/15.

7.5/15 + 5/15 is 12.5/15. Simplified is 5/6.

6/6 minus 5/6 gives you 1/6, therefore the answer is 1/6. Hope this helps!
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