Suppose a parabola has vertex (6, -3) and also passes through the point (8,5).

Write the equation of the parabola in vertex form.

(Answers are given in photo)

10 points!!! Please help.

Suppose A Parabola Has Vertex (6, -3) And Also Passes Through The Point (8,5). Write The Equation Of

Answers

Answer 1

Answer: D. y = 2(x - 6)^2 - 3

Step-by-step explanation: see attachment. i hope this helped :)

Suppose A Parabola Has Vertex (6, -3) And Also Passes Through The Point (8,5). Write The Equation Of
Answer 2

The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]

The vertex form of the equation of a parabola is:

[tex]y = a(x - h)^2 + k[/tex]

where the vertex = (h, k)

The given vertex, (h, k) = (6, -3)

The line passes through the (8, 5)

x  =  8,  y  =  5

Substitute x = 8, y = 5, h = 6, y = -3 into the equation to solve for a

[tex]y = a(x - h)^2 + k[/tex]

[tex]5 = a(8 - 6)^2 + (-3)\\5 = a(2^2)-3\\4a = 5 + 3\\4a = 8\\a = \frac{8}{4} \\a = 2[/tex]

Substitute a = 2, h = 6, k = -3 into [tex]y = a(x - h)^2 + k[/tex]

[tex]y = 2(x - 6)^2-3\\[/tex]

The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]

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Related Questions

Steve is turning half of his backyard into a chicken pen. His backyard is a 242424 meter by 454545 meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

Answers

Answer:

51 meters

Step-by-step explanation:

The shape of the backyard is rectangular having a length, l=45 meters, and a width, w=24 meters as shown in the figure.

As wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. So,

The length of fencing = The length of the diagonal AC or BD

As the length of both the diagonals of a rectangle are equals, AC=BD.

The length of fencing [tex]=\sqrt{l^2+w^2}[/tex] [length of the diagonal]

[tex]=\sqrt{45^2+24^2}=51[/tex] meters

Hence, Steve needs 51 meters of fencing.


Candace is a salesperson at the local boat store. She receives a 14% commission on every sale that she makes. How much commission does Candace
make on a boat that sells for $1,995?

Answers

Answer: 00000

Step-by-step explanation:

help pls . .. a a z z z z . zz

Answers

Answer:

the lines are perpendicular

I believe it’s Perpendicular
So sorry if it’s wrong

12 divided by 18/25 is?!?!

Answers

Answer:

16.6

Step-by-step explanation:

12 divided by 18/25 is 16.66.

Given:

12 divided by 18/25

12÷18/25

12÷0.72

=16.66

What is division?

Division is one of the four basic operations of arithmetic, the ways in which numbers are combined to form new numbers. To divide rational expressions, multiply the first fraction by the reciprocal of the second. If we rewrite  division as the product of the first expression by the inverse of the second, we add them all and look for common factors.

The way  something is shared is called a sharing method. There are  three types of distribution methods according to the degree of difficulty. They are division method or division by repeated subtraction, short division method or bus stop method and long division method.

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-3 = 1 3/5 + m .
what is m

Answers

Answer:

m = -4 3/5   or   -4.6

Step-by-step explanation:

First, we need to isolate the variable, m. We subtract 1 3/5 on both sides of the equation, and then we should get -4 3/5 = m.

hope this helped !! :D

Let $f(x) = 2x - 3$ and $g(x) = x + 1$. What is the value of $f(1 + g(2))$?

Answers

Answer:

The value of f(1 + g(2)) is 5

Step-by-step explanation:

Let us solve the question

∵ f(x) = 2x - 3

∵ g(x) = x + 1

We need to find the value of f(1 + g(2))

That means we will replace x in f(x) by 1 + g(2)

→ g(2) means substitute x in g by 2

∵ g(x) = x + 1

∵ x = 2

∴ g(2) = 2 + 1

g(2) = 3

∵ x of f = 1 + g(2)

∵ g(2) = 3

∴ x of f = 1 + 3

x of f = 4

→ To find f(1 + g(2)) substitute 1 + g(2) by 4

∵ f(x) = 2x - 3

∵ x = 4

∴ f(4) = 2(4) - 3

∴ f(4) = 8 - 3

f(4) = 5

f(1 + g(2)) = 5

Guys pls answer this for me in a minute it is really hard

Answers

The answer to the question is B
The answer is B... hope it helps

The concentrates were pooled from the blood of about 1000 donors per lot. If the prevalence of HIV in donor blood in the early 1980s was 1 in 3,000, what was the probability that a hemophiliac would contract HIV from a single infusion of clotting factors?

Answers

Answer:

The required probability is "0.0003".

Step-by-step explanation:

Throughout the early 1980s, reconstructed coagulation factors concentrate extracted from individual blood was collected by hemophiliacs. The concentrate was obtained from either the blood of approximately 1000 donors every lot. The occurrence of hepatitis C throughout donated blood reached 1 in 3000 throughout the early 1980s.

Therefore, the risk though from a single injection of clotting factors, a hemophiliac would contracted hepatitis C seems to be:

= [tex]\frac{1}{3000}[/tex]

= [tex]0.0003[/tex]

A one year membership at the club costs $10. You pay an additional $1.25 each day you go.
Last year you spent a total of $45. How many days did you go?

Answers

You went 28 days

Subtract 10 from 45
And then divide 35 by 1.25

Answer:36

Step-by-step explanation:

I need helps please and ty​

Answers

Answer:

y=7x+4

Step-by-step explanation:

Values of x and y satisfy the equation y=7x+4

solve for x


-30=5(x+1)

Answers

Answer:

-7

Step-by-step explanation:

a number k is less than 3 units from 10

Answers

Answer:

-7 < k < 7

Step-by-step explanation:

The absolute value of the variable k will be less than 7.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result. The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

A number k is less than 3 units from 10. Then the equation is given as

k + 3 < 10

Simplify the equation, then the value of the variable k will be

k + 3 < 10

k < 10 - 3

k < 7

The absolute value of the variable k will be less than 7.

Your question was incomplete, your question was probably be...

A number k is less than 3 units from 10.

What's the absolute value inequality?

More about the solution of the equation link is given below.

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What is 13 / 143 as a unit fraction

Answers

Answer:1/11

Just got it using some brain cells >:)

Answer:

1/11

Step-by-step explanation:

13/143=1/11

Check all fractions equivalent to 2⁄8.
Check all that are true.

1⁄2

1⁄6

4⁄16

1⁄4

4⁄12

Answers

1/4 and 4/16 are equivalent to 2/8

12. The table shows the height in feet of a stack of medium sized moving boxes. What is the height of a stack of 14 boxes

Answers

height = 2.25 * box.

So, 14 boxes = 2.25 * 14 = 31.5.

WILL GIVE BRAINLST FOR WHOEVER ANSWERS FIRST Which of the following equations is equivalent to 6(3p – 2) = 20?
Group of answer choices


9p – 4 = 20


9p – 8 = 20


18p – 12 = 20


18p – 2 = 20

Answers

It would be the 3rd option, because you multiply 6 and 3 and get 18, and then multiply 6 and 2 and get 12 so it would be 18p-12=20

im failing pls help !!!!!

Answers

Answer:

ill suck ya wang

Step-by-step explanation:5$ and ill suck yo wang to do your homework

Answer:

It is C.

Step-by-step explanation:

If you multiply 2 times 2 you get 4. Then multiply 4 by 5 and you get 20.

Therefore, it is C.

GIVING BRAINLIEST!!! A student observes a beaker of room temperature water resting on a table. She states that the beaker of water does not have any energy. Which statement below is accurate regarding her observation?
a. She is correct because the beaker of water is not moving.


b. She is incorrect because the beaker of water has thermal energy.


c. She is incorrect because all water contains hydrogen and oxygen.


d. She is correct because the beaker of water is at room temperature.

Answers

Answer:

b

Step-by-step explanation:

A half of a number added to 7 gives 19. What is the number? *

Answers

Answer:

24

Step-by-step explanation:

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

24÷2=12

12+7=19

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

Answer:2412 gives you 17. (12+7=19)And 12 is half of 24.

a.What is the length of A’A?
b.What is the length of B’B
Both in units

Answers

Answer:

A'A = 18 units, B'B = 9 units

Step-by-step explanation:

Δ ACB and Δ A'CB' are similar triangles, thus the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{A'C}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , substitute values

[tex]\frac{AC}{12}[/tex] = [tex]\frac{20}{8}[/tex] ( cross-  multiply )

8AC = 240 ( divide both sides by 8 )

AC = 30

Thus A'A = AC - A'C = 30 - 12 = 18 units

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

and

[tex]\frac{CB}{CB'}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , that is

[tex]\frac{CB}{6}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )

8CB = 120 ( divide both sides by 8 )

CB = 15

Thus

B'B = CB - CB' = 15 - 6 = 9 units

Approximate the value of the positive square root of 110 to the nearest hundredth

Answers

The approximate value of the positive square root of 110 to the nearest hundredth is: 10.48

Determine the measure of ∠Q, rounded to the nearest tenth of a degree.
images attached.

Answers

Answer:

D

Step-by-step explanation:

Using the Sine rule in Δ QRS , that is

[tex]\frac{q}{sinQ}[/tex] = [tex]\frac{r}{sinR}[/tex] , that is

[tex]\frac{15}{sinQ}[/tex] = [tex]\frac{12}{sin50.1}[/tex] ( cross- multiply )

12× sinQ = 15 × sin50.1° ( divide both sides by 12 )

sinQ = [tex]\frac{15sin50.1}{12}[/tex] , thus

Q = [tex]sin^{-1}[/tex] ( [tex]\frac{15sin50.1}{12}[/tex] ) ≈ 73.5° ( to the nearest tenth )

Please help. I'm desperate!!!!!!!!!!!

Answers

Help with what? If there was an image I can’t see it

- You study 4 hours per day and are in class 6 hours
per day. Find the ratio of the number of study hours to
class hours.

Answers

Answer:

2/3

Step-by-step explanation:

Initially it would be 4/6 which you can simplify as 2/3

What is faster? 15 meters per minute or 15 kilometers per hour?

Answers

Answer:

15 kilometers

Step-by-step explanation:

15 kilometers is in conversion with miles

Miguel completed the division problem below. What is Miguel's error? A.He included a 5 in the quotient, which does not belong. B.He multiplied the divisor by 10 and the dividend by 100. C.He subtracted 208 from 234 incorrectly. D.He multiplied the divisor by 100 and the dividend by 10. 754 divided by 0.52. 52 StartLongDivisionSymbol 7540 EndLongDivisionSymbol minus 52 = 234. 234 minus 208 = 260. 260 minus 260 = a remainder of 0 and a quotient of 145.

Answers

Answer:

D. He multiplied the divisor by 100 and the dividend by 10.

Step-by-step explanation:

From the question: The following steps are given:

754 divided by 0.52.

754 = Dividend

0.52 = Divisor

Step 1

7540 ÷ 52

This is where he made his error,

He multiplied the divisor by 100 and the dividend by 10.

The correct step would be

To Multiply both the Divisor and the Dividend by 100

= 75400 ÷ 52

Option D is the correct option

Answer:

The answer is D

Step-by-step explanation:

Hope this helped! :)

Is this a function or no

Answers

I believe this is not a function(pleaseee give me a like)
That’s most definitely not a function..

PLEASE ANSWER ASAP WILL MARK BRAINLEST
Paul and Dana both want to find the change from the 6 AM temperature to the new 12 PM temperature.

Paul says that you can use a number line and add the distance from 0 to the 6 AM temperature and from 0 to the new 12 PM temperature. Dana says that you can subtract -1.4 from the new 12 PM temperature.

Is either Paul or Dana correct> Explain your reasoning and find the change in temperature.

Answers

Answer:

Paul is correct

Step-by-step explanation:

You can add the distance of 0 to 6 AM and 0 to 12 PM, and doing so on a number line. On a number line you would add them and lets say 6 AM is 6 degrees and 12 PM is 12 degrees, you would add 6 and 12 to get 18. While doing so you would got 1 2 3 4 5 6 7 8 9 and so on. Thus, finding the difference.

I know I'm late but can I still get that brainliest

Write the proportional equation that represents the table below.

Answers

The answer is b y=20x

Marge's plan costs .14 cents per minute plus a monthly fee of $24. Dan's plan costs .12 cents per minute plus a monthly fee of $28. How many minutes (m) are required for both plans to cost the same for the month?

Answers

Answer:

6 min for Marge's and 7 for Dan's plan

Step-by-step explanation:

0.14x6=0.84

0.12x7=0.84

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