What is the equation of the line that passes through the point (-2, -2) and is perpendicular to the line y = 2x+5

What Is The Equation Of The Line That Passes Through The Point (-2, -2) And Is Perpendicular To The Line

Answers

Answer 1

product of two perpendicular line slopes must equals - 1 ;

As you know the coefficient of x is the slope of the line

Thus if we suppose that line has a slope of m , we have :

m × 2 = - 1

m = - 1 / 2

__________________________________

y = ax + b

y = - 1 / 2 x + b

The line passes through the point ( - 2 , - 2 ) thus :

- 2 = - 1 /2 × ( - 2 ) + b

- 2 = 1 + b

b = - 3

__________________________________

y = - 1/2 x - 3

Which mean the option c is the correct answer.

Answer 2

Answer:

y = -1/2(x) - 4

Step-by-step explanation:

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


Related Questions

Giselle made several apple and peach pies. She bought peaches for $4 per pound and apples for $2 per pound. If Giselle spent $60 to buy 24 pounds of fruit, how many pounds of peaches did she buy?

Answers

The number of pounds of peaches is 6 pounds and the number of pounds of apples is 18 pounds

Given:

cost of peaches per pound = $4

cost of apples per pound = $2

Total amount spent = $60

Total pounds bought = 24

let

x = number of peaches

y = number of apples

x + y = 24 (1)

4x + 2y = 60 (2)

multiply (1) by 2

2x + 2y = 48 (3)

4x + 2y = 60 (2)

subtract (3) from (2)

4x - 2x = 60 - 48

2x = 12

x = 12/2

x = 6

substitute x = 6 into (1)

x + y = 24 (1)

6 + y = 24

y = 24 - 6

y = 18

Therefore, the number of pounds of peaches is 6 pounds and the number of pounds of apples is 18 pounds

Simplify the expression. Write your answer as a power.

Answers

When multiplying two powers, if their bases are the same, then you simply add the exponents:

   [tex]\frac{8^5*8^3*8^2}{8^8} =\frac{8^{5+3+2}}{8^8} =\frac{8^{10}}{8^8}[/tex]

When dividing two powers, if their bases are the same, you simply minus the exponents.

  [tex]\frac{8^{10}}{8^8}=8^{10-8}=8^2[/tex]

Thus when the expression is simplified, the answer as a power is [tex]8^2[/tex]

Answer: 8^2

Hope that helps!

Last month, korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. calculate korey’s net profit margin. a. 42.5% b. 55.7% c. 76.3% d. 179.5% please select the best answer from the choices provided a b c d

Answers

Korey’s gross profit margin last month will be equal to 55.7%.

What is the gross profit margin?

The gross profit margin is a profitability ratio. Profitability ratios measures the efficiency with which a company generates profit from its asset. Gross profit margin measures the return on sales.

Gross profit margin = net income / gross profit

$1850 / 3320 = 0.557 = 55.7%

To learn more about profit margin, please check: brainly.com/question/26208770

Answer:

The answer is actually a. 42.5%

Step-by-step explanation:

Correct on edg. 2022

100 pts help pls


Is this triangle acute, right, or obtuse?

acute

right

obtuse

Answers

Thus its an obtuse angle triangle.

=============================

Acute triangle means they measure less than 90°

Right triangle means a triangle with 90°

Obtuse triangle has one angle greater than 90°

Obtuse

Check one angle is streched like it's greater than 90°

Hence one angle is greater than 90 i.e obtuse.

So

it's an obtuse triangle

right triangles trigonometry

I dont understand how to solve this.​

Answers

What you are going to need to do ( I believe from my prior knowledge), you need to find the opposite of the 60° first. Your calculator needs to be in degree mode. 1st equation;

(60)tan(x/4sq14)

Once you find this answer, apply it to the opposite of the 60° angle on the far right.

Then you are going to do the solution of the equation I just stated above, times 4sq14 using the Pythagorean theorem theory shown down below.

a^2 + b^2 = c^2
first answer^2 + 4sq14^2 = C^2

C^2 will then provide the short legs of the larger triangle (they are congruent lengths in a 45-45-90 triangle)

Multiply the value of c times c without squaring either of them, like so, this will lead to the answer of X

C times C = “x”

Hope this helps!

7/10 of the books sold by the used book store had hardback covers. 2/3 of those had been repaired. What part of the books sold had repaired hardback covers?

Answers

Answer:

7/15

Step-by-step explanation:

2/3 of those means 2/3 of the 7/10 books sold by the used book store

2/3 of 7/10 means 2/3 * 7/10 = 14/30 = 7/15

Hope this helps :)

Have a nice day!

Help me stop bots plsss not bots

Answers

the answer would be 11,137.5 gallons if it needs rounded up it would be 11,138 gallons i believe.

9. Elena is selling tickets for an amusement
park. She sells triple the number of
student tickets as adult tickets and
she sells 8 fewer senior tickets than
adult tickets
a Write expressions for the number of
adult tickets, student tickets, and
senior tickets, using a as the number of adult tickets
b. Using your answers from part b, write
a simplified expression for the total
number of tickets Elena sells
1
C. Elena sells 15 adult tickets, does
she sell at least 100 total tickets?
Show your work

Answers

Step-by-step explanation:

A) a = students tickets

3a = adult tickets

3a+8 = senior tickets

B) a + 3a + 3a + 8 = Tt

C) 15 + 3(15) + 3(15) + 8 = 113

Therefore, she sells at least 100 total tickets

can someone help i’ll give brainlist

Answers

Answer: A pet store had a total of 24 fish. And they separated the fish into 4 different fish tanks tanks.

Step-by-step explanation: 24 fish / 4 fish tanks :)

30 POINTS IF YOU ANSWER CORRECTLY!!!! I NEED HELP ASAP PLEASE!!! ALL THE ANSWERS OF THIS ONLINE ARE INCORRECT SO PLEASE HELP!!! Byron is conducting an experiment to determine whether a new medication is effective in reducing coughing. He finds 1,200 volunteers with coughing issues and divides them into two groups. The control group does not receive any medication; the treatment group receives the medication. The patients in the treatment group show reduced signs of coughing. What can Byron conclude from this experiment?

Answers

Answer:

Step-by-step explanation:

Given Byron's discovery of 1,200 volunteers with coughing problems.

He separates them into two categories:  

1. There is no medication given to the control group.

2. The medication is given to the treatment group.

In addition, patients in the treatment group have fewer signs of coughing. As a result, Byron can conclude that the new medication works in the treatment group to reduce coughing.

The medicine given to the people, according to Byron, worked because the treatment group showed signs of less coughing.

Answer: Deduction is the effectiveness of the medication is positive since purpose for the trial was achieved. The cough symptoms responded to the medication while the control method used on the other group yielded no visible result. Medication was a better choice to the control method

Step-by-step explanation: Those who received the medication had their symptoms reduced while those who had other control measures showed no form of improvement.

What are the solutions to the equation y = 4x2 +5x−6?

Answers

Answer:

Option D: x = -2; x = 3/4

Step-by-step explanation:

Hello!

We can factor this expression and then find the zeroes to find our solutions.

Factor:

We have to factor by grouping. Multiply the 1st and last term, 4x² and -6 is -24x², and find two factors that equal to -24x² and add up to the second term, 5x. 8x and -3x work for this.

y = 4x² + 5x - 6y = 4x² + 8x - 3x - 6y = 4x(x + 2) - 3(x + 2)y = (4x - 3)(x + 2)

Zero-Product Property

Now, set the equation equal to zero.

0 = (4x - 3)(x + 2)

Remember, if two numbers, a and b, multiply to 0, either a or b or both numbers must be zero. So now we set both factors to zero, hence the zero-product property.

4x - 3 = 04x = 3x = 3/4

And the next one:

x + 2 = 0x = -2

The solutions are x = -2, and x = 3/4, or Option D

4. Triangle D is the image of Triangle A~You can show that Triangle An Triangle D using a sequence of transformations. Which of these statements about Triangle A and Triangle D is true?

A. triangle D is to the left and down from triangle A.
B. triangle D is dilated from triangle A.
C. triangle A and triangle D have interior angle measures that sum to less than 180°
D. triangle A and triangle D are congruent.

Answers

Answer:

C or A po Yan sagut ko sa dalawa pumili Lang ako

Joe does 25 sit ups each day.How many sit ups does he do in three weeks remember,, one week has seven days

Answers

7x3 = 21 days
25x21= 525 sit ups

Answer:

525

Step-by-step explanation:

So its 25 a day and hes doing it for 21 days because 7*3=21.

so 25*21= 525

please help me asap! Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. A multiple-choice question has five answer options of which two options are correct. What is the probability of randomly choosing the correct pair of answer options? The probability of choosing the correct pair of answer options is .

Answers

Using the combination formula, it is found that there is a 0.1 = 10%  probability of randomly choosing the correct pair of answer options

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 2 answers are chosen from a set of 5, hence the total number of options is given by:

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

Only one pair is correct, hence the probability of randomly choosing the correct pair of answer options is given by:

p = 1/10 = 0.1 = 10%.

More can be learned about the combination formula at https://brainly.com/question/25821700

On their birthdays, employees at a large company are permitted to take a 60-minute lunch break instead of the usual 30 minutes. Data were obtained from 10 randomly selected company employees on the amount of time that each actually took for lunch on his or her birthday. The company wishes to investigate whether these data provide convincing evidence that the mean time is greater than 60 minutes. Of the following, which information would NOT be expected to be a part of the process of correctly conducting a hypothesis test to investigate the question, at the 0. 05 level of significance?

Answers

Answer:

Given that the p-value is greater than 0.05, rejecting the null hypothesis and concluding that the mean time was not greater than 60 minutes

Step-by-step explanation:

I got it right on AP Classroom

what is 1,200 x 1,300

Answers

Answer:

It's 1,560,000

Step-by-step explanation:

You can just put it into a calculator.

Answer:

1,560,000

Step-by-step explanation:

When you multiply 1,200 by 1,300, you would get 1,560,000.

Janet wants to solve the equation y startfraction y squared minus 5 over y squared minus 1 endfraction = startfraction y squared y 2 over y 1 endfraction. what should she multiply both sides of the equation by? y y2 – 1 y 1 y2 y 2

Answers

An equation is formed of two equal expressions. Janes should multiply both sides of the equation by (y²-1).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.


The equation that is given is an equation with a mixed fraction, therefore, the denominator with the highest power should be multiplied on both sides of the equation. The equation that is given to us

[tex]y + \dfrac{y^2-5}{y^2-1} = \dfrac{y^2+y+2}{y+1}[/tex]

As we can see in the equation that there are 2 denominators, which are,

y²-1y+1

In the two of the expressions that are stated above the expression (y²-1) is of a higher power.

Hence, Janes should multiply both sides of the equation by (y²-1).

Learn more about Equation:

https://brainly.com/question/2263981

Will name brainliest!

Answers

Answer:

B as the number of molecules increases the volume increases

Step-by-step explanation:

Help me with this one too Have a good day

Answers

Answer:

So, a.0, b.1/10, c.81, d.1/64

Step-by-step explanation:

Part A, anything raised to the power of zero is equal to zero. So suppose we have a constant, b, and we raise it to the power of zero, so b^0, it'll always be 0.

Part B, a negative power essentially means that you'll have to inverse the number. Once again, if we have a constant, b, and we raise it to the power of -1, it'll end up being 1/b. So b^-1 = 1/b.

Part C, its simply just multiplying 3 with itself four times.

Part D, as mentioned before, anything raised to a negative power means that you need to inverse the number. So 4^-3 is equal to 1/4^3, meaning that its just 1/64.

Solve for X and Y

Picture above

Answers

Answer...

ok done. Thank to me >:3


Drag the tiles to the correct boxes to complete the pairs.
Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.
tile: 1 (4/5,y), 2(1/3,y) 3(squared2/3,y), 4(2/3,y)

matching graph:
y=+/- squared5/3
y=+/- squared7/3
y=+/-3/5
y=+/-2squared2/3

Answers

Answer:

the answer is b

Step-by-step explanation:

y=+/- squared5/3

y=+/- squared7/3

y=+/-3/5

y=+/-2squared2/3

compare |-0.658| and |-0.653|.

Answers

|-0.658| > |-0.653|
Can I have brainliest?

What is the shape of A(-5,1) B(-2,4) C(3,1) D(0,-4)

Answers

Answer: Parallelogram

Step-by-step explanation: Roughly sketched.

The function f(x)=2^x and g(x)=f(x+k). if k=2, what can be concluded about the graph?


the graph of g(x) is shifted vertically...

The graph of g(x) is shifted horizontally…..

Answers

Answer:

The graph g(x) is shifted vertically up by 3 units.

The graph of g(x) is shifted horizontaly left by 2 units.

Step-by-step explanation:


With explanation pls

Answers

Sum of all angles is 360. There are 8 angles. 360/8 is 45. Exterior and interior angles are supplementary meaning their sum is 180. 180-45 is 135.

Write one statistical question(your data needs to have variability),that you could ask the students in your class that would result in numerical data

Answers

Answer:

ask your classmates what is there shoe sizes are

Step-by-step explanation:

What’s the volume of the figure?

Answers

Answer:

ans below

Step-by-step explanation:

when rectangle is rotated, hemisphere is formed with r =12cm

volume = 2/3πr^3

= 1152π cm^3

Which comparison is not correct?
02>-3
0 -7<-5
0-9<1
0<-4

Answers

Answer:

last one its not correct

Step-by-step explanation:

homework help please!!!!!!!!!!

Answers

Answer:

the line is equal to 180 degrees so knowing that we can make our equation

(2x+3)+(x-6)=180

now all we have to do is combine like terms

3x-3=180

3x=177

x=59

plug back in

Value of A (2(59)+3)= 121

Value of B (59-6)= 53

A number cube is rolled two times. The first time it lands showing an even number. The second time it lands showing the number 5. Identify whether this event is independent or dependent. Explain your answer.
A. Independent; the first roll of the number cube affects the probability of the second roll.
B. Dependent; the first roll of the number cube does not affect the probability of the second roll.
C. Independent; the first roll of the number cube does not affect the probability of the second roll.
D. Dependent; the first roll of the number cube affects the probability of the second roll

Answers

Answer:

Independent; the first roll of the number cube does not affect the probability of the second roll.

Step-by-step explanation:

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