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.
Answers
Answer: D. y = 2(x - 6)^2 - 3
Step-by-step explanation: see attachment. i hope this helped :)
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
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
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
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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Please help. I'm desperate!!!!!!!!!!!
Answers
Determine the measure of ∠Q, rounded to the nearest tenth of a degree.
images attached.
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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 )
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.
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
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
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! :)
Check all fractions equivalent to 2⁄8.
Check all that are true.
1⁄2
1⁄6
4⁄16
1⁄4
4⁄12
Answers
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]
Write the proportional equation that represents the table below.
Answers
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
---------------
solve for x
-30=5(x+1)
Answers
Answer:
-7
Step-by-step explanation:
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:
-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
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.
To learn more about division, refer;
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help pls . .. a a z z z z . zz
Answers
Answer:
the lines are perpendicular
So sorry if it’s wrong
Approximate the value of the positive square root of 110 to the nearest hundredth
Answers
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
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
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 $1,995?
Answers
Answer: 00000
Step-by-step explanation:
a.What is the length of A’A?
b.What is the length of B’B
Both in units
Answers
Answer:
A'A = 18 units, B'B = 9 units
Step-by-step explanation:
Δ ACB and Δ A'CB' are similar triangles, thus the ratios of corresponding sides are equal, that is
[tex]\frac{AC}{A'C}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , substitute values
[tex]\frac{AC}{12}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8AC = 240 ( divide both sides by 8 )
AC = 30
Thus A'A = AC - A'C = 30 - 12 = 18 units
--------------------------------------------------------------------
and
[tex]\frac{CB}{CB'}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , that is
[tex]\frac{CB}{6}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8CB = 120 ( divide both sides by 8 )
CB = 15
Thus
B'B = CB - CB' = 15 - 6 = 9 units
- You study 4 hours per day and are in class 6 hours
per day. Find the ratio of the number of study hours to
class hours.
Answers
Answer:
2/3
Step-by-step explanation:
Initially it would be 4/6 which you can simplify as 2/3
im failing pls help !!!!!
Answers
Answer:
ill suck ya wang
Step-by-step explanation:5$ 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.
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.
Is this a function or no
Answers
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
Subtract 10 from 45
And then divide 35 by 1.25
Answer:36
Step-by-step explanation:
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
Guys pls answer this for me in a minute it is really hard