What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?

Answers

Answer 1

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required equation is ~

[tex] \boxed{ \sf{y = \frac{x}{2} + 2 }}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's find the slope of given line ~

[tex]y = - 2x + 5[/tex]

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

[tex] - 2 \times n = - 1[/tex]

[tex]n = \dfrac{ - 1}{ - 2} [/tex]

[tex]n = \dfrac{1}{2} [/tex]

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

[tex]y - y_1 = m(x - x_ 1)[/tex]

here, m = slope ~

[tex] y - 2 = \dfrac{1}{2} (x - 0)[/tex]

[tex]y - 2 = \dfrac{x}{2} [/tex]

[tex]y = \dfrac{x}{2} + 2[/tex]

I hope it helps ~


Related Questions

Aliza plays basketball every Tuesday and
Thursday. She practices piano every other
day. If June started on a Monday, and if
Aliza played piano that day, on how many
days did she both play basketball and practice piano in June (which has 30 days)?
A. 2 days
B. 4 days
C. 5 days
D. 7 days

Answers

Answer:

4 days

Step-by-step explanation:

June starts on Monday

for 30days we have 4 weeks starting from Monday to Sunday and extra 2 days which are Monday and Tuesday

so we have 5 mondays and tuesdays

4 wed, thu, fri, sat, sun

Aliza played piano on june1 monday

So aliza played basketball on 5 tues + 4 thurs = 9 days

for calculating both basketball and paino

piano day should be on tuesday or thursday

from the below picture u can see pink dots are piano days

and yellow circles are both piano and basketball days

so on alternate weeks they are coinciding

so there are 4 days

Lorreen sells 18 adult tickets, 23 student tickets, and 10 discount tickets for the school play. Write the ratio student tickets to adult tickets in three ways.

Answers

Answer:

23:18,23 to 18,23/18

Step-by-step explanation:

the three ways to write a ratio are colon,the word to, and the divide symbol .

a poultry farmer sold 1/2 of his eggs and ate 1/3 of the remainder if he has 400 left how many eggs had he originally​

Answers

Answer:

2400 eggs

Step-by-step explanation:

1. To find out how many eggs the poultry farmer had originally, we have to reverse the steps of him selling and eating this eggs.

This means to basically multiply 400 by the reciprocal (inverse) of 1/2 and 1/3.

2. (Solving)

[tex](2)(3)(400)[/tex] [tex](6)(400)[/tex] [tex]2400[/tex]

Therefore, he had 2400 eggs originally.

I WILL GIVE BRAINIEST, PLEASE HELP

Answers

Answer:

A = (1, 10)

B = (4,10)

C = (4, 14)

D = (1, 16)

Step-by-step explanation:

Okay, so first, we move, or translate the quadrilateral PQRS down -8 spaces on the graph, turning old points:

P (1, -2) = (1, -10)     Q (4, -2) = (4, - 10)     S (1, -8) = (1, -16)     and R (4, -6) = (4, -14)

Now, we need to rotate this new box into -x, y. So our new points are:

(1, -10) = (-1, 10)     (4, -10) = (-4, 10)     (1, -16) = (-1, 16)     and (4,-14) = (-4, 14)

Now we're reflecting off the y-axis, making our x change. So for our final points:

A(1, 10)   B (4,10)    D(1, 16)    and C(4, 14)

Hope this helps! Please check my math and comment wether this worked or not! :)

Answer:

hi

Step-by-step explanation:

If y = ax² + bx + c is the general form of a quadratic function, what is y = a(x - h)² + k? *
a. vertex form
b. general equation
c. point-slope form
d. slope-intercept form

How necessary is the value of a, b and c in transforming quadratic function from general to vertex form? *
a. to find the value of h and k
b. to find the number of roots
c. to determine the degree of the quadratic function
d. to determine the maximum point​

Answers

Step-by-step explanation:

it is the vertex form.

remember, (h, k) is the vertex point.

the vertex being the point of the (quadratic) parabola, where the curve turns around.

depending on the orientation of the parabola (vertex up or vertex down) as defined by the sign of a, this is either the minimum or the maximum of the curve.

so, the first a. is correct.

and so is the second a., as they play an important role when completing the square and hence finishing the transformation.

what is the value of X and what is the value of Y


PLEASE HURRY

Answers

The triangle that does not have the y angle, equate all of its angles to 180 degrees and solve for x. Once you solve for x, substitute that value to the angles in the other triangle, and then add them all up and equate it to 180 degrees to solve for y.

78 decreased by half a number is 45 Find the number

Answers

78 - 45 = 33
Since it’s half a number you do
33 x 2 = 66
So the answer is 66

Answer:

number is 66

Step-by-step explanation:

let the number be n , then

78 - [tex]\frac{1}{2}[/tex] n = 45 ( subtract 78 from both sides )

- [tex]\frac{1}{2}[/tex] n = - 33 ( multiply both sides by - 2 to clear the fraction )

n = 66

The required number is 66

-x+3y=0
x+3y=12

System of linear equation by elimination

Answers

Answer:

x=6

y=2

Step-by-step explanation:

-x+3y=0 (1)

x+3y=12 (2)

(1)+(2)<=> 6y=12

graphically represent
The cuadratic relation

Answers

boberson is after then my mom

What is 1 3 fourths x 8?

Answers

Answer:

14

Step-by-step explanation:

1 3 fourths is 7/4

(7/4)*8

4 cancels out with 8

2*7=14

1 3 fourths = 1 3/4 = 7/4

=》 7/4 × 8 (cancel out 4 & 8)

=》 7 × 2 (multiply them)

=》 14

____

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

A 250-foot length of fence is placed around a three-sided animal pen.
Two of the sides of the pen are 100 feet long each. Does the fence
form a right triangle? Prove that your answer is correct.

Answers

Step-by-step explanation:

no it does not form a right triangle. 

 

a+b+c = 250

 

1002 + 502 does not equal 1002

nor 1002 + 1002  does not equal 502

 

so therefore the sides are 100, 100, and 50 but these do not make a right triangle

Your friend tried putting away the sugar for you and cannot get the 14 cups of sugar to fit in the containers! They determined you would need 9 containers to store the 14 cups of sugar.

They show you their calculations:



Answer the following questions.

What mistake did your friend make in calculating the number of containers needed?
*Hint* Look closely at the work shown to find the mistake

How many containers are needed to store the leftover sugar?

Answers

Answer:

21 containers

Step-by-step explanation:

When dividing fractions, you can multiply by the inverse of the fraction. For example, in this case, [tex]14 divided by \frac{2}{3} = \frac{14}{1}x\frac{3}{2}[/tex]. Whoever drew the calculations made the mistake of forgetting to flip the second fraction.

The actual solution of the problem is 42/2, or 21/1. 21 containers are needed to store the sugar.

ten times the reciprocal of a number equals 5 times the reciprocal of 3

Answers

The reciprocal of a whole number is a fraction with the whole number as the denominator.

Set up the equation:

10 * 1/x = 5 * 1/3

Simplify:

10/x = 5/3

Multiply both sides by 3:

30/x = 5

multiply both sides by x:

30 = 5x

Divide both sides by 5:

x = 6

Answer: 6

tony purchases a pair of jeans for 45.49 before tax the jeans were originally priced at 69.99 what was the percent discount a 35% B 20% C 65% and D 80% pls help
the book is think up

Answers

Answer:

your so funny for a annoying kid

Step-by-step explanation:

A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed the magazine on sale for 50% off. What was the discount price?

solve pls brainliest

Answers

a

distance is -8

b

-7 - 1 = -8

1 - (-7) = 8

c

l-7 - 1l = 8

l 1 - (-7)l = 8

hope this helps

Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister’s age.

Answers

Answer:

youngest   17  

middle  19

oldest    21

Step-by-step explanation:

Three sisters have ages that are consecutive odd integers

youngest = x

middle = x + 2

oldest = x + 4

--------------------

The sum of the age of the youngest

x

and three times the age of the oldest

+ 3(x + 4)

is five less than five times the middle sister’s age

= 5(x + 2) - 5

-----------------------

x + 3(x + 4) = 5(x + 2) - 5

Distribute

x + 3x + 12 = 5x + 10 - 5

Combine like terms

4x + 12 = 5x - 5

Subtract 4x from both sides

12 = x - 5

Add 5 to both sides

17 = x

youngest   x = 17  

middle     x + 2 = 19

oldest     x + 4 = 21

Write an equation of the line in slope-intercept form.



The equation is y=
.

Answers

Answer:

y = x + 2

Step-by-step explanation:

     Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. Here, b is equal to 2 because the line crosses the y-axis at 2. THe slope is rise over run, or the change in y divided by the change in x. From the two points given, we get 3/3 which is equal to 1. 1x equals x, so this gives us "no slope." Putting it together gives us y = x + 2.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

PLEASE PLEASE ANSWER

Answers

Answer:

Step-by-step explanation:

So the sum of 128 and x+10 is on a straight line which is 180º right?, so:

x + 10 + 128 = 180

x = 180 - 128 - 10

x = 42º

Answer:

42

Step-by-step explanation:

x +10 +128 = 180   {Linear pair}

x  + 138 = 180

x = 180 - 138

x = 42


Consider this function.
h(x) = (x - 2)^2+3

Which of the following domain restrictions would enable h(x) to have an inverse function?
a. x < 1
b. x >5
c. x < 3
d. x > 4

(Ps: all four answer and larger equal then or smaller equal then

Answers

Answer:

No inverse function:  (a), (b), (c)

Inverse function exists:  (d)

Step-by-step explanation:

The graph of h(x) = (x - 2)^2 + 3 is a parabola that opens upward and has vertex at (2, 3).  If the entire graph is drawn, and the horizontal line test then applied, h(x) would not have an inverse, because the horizontal line would intersect the  parabolic graph twice.

Note that if we restricted the domain to x ≥ 2, the resulting graph would pass the horizontal line test.  This would also be true for x ≥ 3, x ≥ 4, and so on.  Not so for (a) x < 1.  False for x > -5.  True for x < 3.  True for x > 4.

No inverse function:  (a), (b), (c)

Inverse function exists:  (d)

if john can cover 360 miles in 3 hours find the number of mile covered by john in 1 minute

Answers

Answer:

John can cover 2 miles in 1 minute

Step-by-step explanation:

There are 180 minutes in 3 hours. So 360 ÷ 180 = 2

Enjoy your day! ( ・U・)♡

A right triangle is one that contains a ______ degree angle​

Answers

Answer:

90 degrees

Step-by-step explanation:

......

Answer: 90 degree angle.

Step-by-step explanation: A right triangle must have a right angle.

WILL MARK BRAINLY
The graph of g(x)=x^2+2x is translated by 4 units to the left. which of the following gives the equation of the new graph?
x^2 + 10x + 24
x^2 + 2x + 4
x^2 + 2x - 4
x^2 - 6x + 8

Answers

Answer:

X^2 + 10x +24

Step-by-step explanation:

I hope this helps!

if Ray OC stands on a line AB such that angle AOC = angle COB then s.t angle AOCis equals to 90​

Answers

Answer:

Since ray OC stands on line AB.  

Therefore

∠AOC + ∠COB = 180° (Linear pair of angles)

But ∠AOC = ∠COB (given)

⇒ 2∠AOC = 180°

⇒ ∠AOC = 90

Step-by-step explanation:

Help please! !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is -16(t-2)(t+1)

Step-by-step explanation:

what is the answer, i tried everything but i can’t seem to get the right answer

Answers

Answer:A

Step-by-step explanation: It never talks about 50 so i don't know why that is there so I think it is A because 21 dollars is more than 5+2.75, (not 100% sure but at least 85% sure)

Answer:

A

Step-by-step explanation:

The reason that this is A is because 5$ is the initial fee and you dont pay any more than that, since 21$ is the max you can afford it is going to be less than or equal to 21. and if it is 2.75$ per stop then it is the number of stops times 2.75. A is your answer.

edit: and the 50 kilometers doesnt have any value in the situation so basically it was just there to confuse you or throw you off.

Triangles ABD and XYZ are similar .Find the length of the segment XZ.

Answers

Answer: 2.4

Step-by-step explanation:

Because they are similar, the lengths of the sides will have the same ratio.

We will use side AB and side XY since it shows both sides.

This shows that the ratio is 3:4

We can then use that to find out that XZ also uses the ratio 3:4

3.2 / 4 = 0.8

0.8 * 3 = 2.4

XY is equal to 2.4

Dylan is selling boxes of candy. He purchases them for $1.50 each and
marks up the price by 50%. How much is Dylan planning to charge? *

Answers

Answer:

2.25

Step-by-step explanation:

1.50+50%=2.25

pls help me with this:((((((​

Answers

Answer: Multiple answers

Step-by-step explanation:

Answer: Multiple answers

Step-by-step explanation:

P.E.M.D.A.S (order of operations)

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction (From left to right)

M=Multiplication

D=Division

Multiplication is done before division.

So, multiply 1.21*2 for the first problem, and 1.20*2 for the other 2 problems.

1.

24/(1.21)2 becomes 24/2.42

24/2.42= 9.9173553719 (or 9.92 rounded, or 9.9)

2.

29/(1.20)2 becomes 29/2.4

29/2.4= 12.0833333333 (or 12.08 rounded, or 12.1)

3.

40/(1.20)2 becomes 40/2.4

40/2.4= 16.6666666667 (or 16.7 rounded)

I am not sure if you have to round your answers up, so I provided those answers as well in case.

Hope this helps!

Andrew shovels snow for 4 %2 hours and makes
$27. How much did he make per hour?
And how much does he earn in 8 hours?

Answers

He got paid $54! :)

F(1)=2, f(n)= f(n-1)+7

Plsss help

Answers

Answer:

6

5

2

3

1

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

20

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