The vertex of this parabola is at (2,-1). When the y value is 0, the value is 5.
What is the coefficient of the squared term in the parabola's equation?
(2.-1)
A.-3
B. -4
c. 4
D. 3
Answers
Answer:
Option D.
Step-by-step explanation:
The vertex form of a parabola along y-axis is
\(y=a(x-h)^2+k\)
where, (h,k) is vertex and, a is constant and it is equal to coefficient of the squared term in the parabola's equation.
The vertex of the parabola is (2,-1). So, h=2 and k=-1.
\(y=a(x-2)^2-1\)
The graph passes through (5,0). So,
\(0=a(5-2)^2-1\)
\(1=9a\)
\(\dfrac{1}{9}=a\)
It means coefficient of the squared term is 1/9, which is not the option. So, parabola must be along the x-axis.
The vertex form of a parabola along x-axis is
\(x=a(y-k)^2+h\)
where, (h,k) is vertex and, a is constant and it is equal to coefficient of the squared term in the parabola's equation.
The vertex of the parabola is (2,-1). So, h=2 and k=-1.
\(x=a(y+1)^2+2\)
The graph passes through (5,0). So,
\(5=a(0+1)^2+2\)
\(5-2=a\)
\(3=a\)
It means coefficient of the squared term is 3.
Therefore, the correct option is D.
Related Questions
find x intercept
y-4=7(x-6)
pls hurry i will give brainliest
Answers
Answer:
(38/7, 0)
Step-by-step explanation:
y-4=7(x-6)
First, put the equation in y=mx+b form
Hence, isolate y:
y - 4 + 4 = 7(x - 6) + 4 ==> add 4 on both sides to isolate y
y = 7(x - 6) + 4
y = 7x - 7*6 + 4 ==> Distributive property: distribute 7 to x and 6
y = 7x - 42 + 4 ==> simplify
y = 7x - 38
0 = 7x - 38 ==> set y=0 since x-intercept is when y=0
38 = 7x ==> Now divide each side by 7 to isolate x
x = 38/7 ==> (38/7, 0)
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Answer:
Step-by-step explanation: to find the y intercept let y=0
y-4=7(x-6)
Substitute y=0
0-4=7(x-4)
-4=7*x-28..........expand the bracket
-4=7x-28
Get x term on its own
Add 28 to both sides
-4+28=7x-28+28
24=7x
Divide both sides by 7
24/7=7x/7
x=3.4
Complementary and Supplementary angles.
Answers
Answer:
Supplementary 102° and 78°
Complemantary 78° and 12°
Step-by-step explanation:
complementary Angles add up to 90°
supplementary angles add up to 180°
HELP PLS!! A family is building a sandbox for their yard that is shaped like a rectangular prism. They would like for the box to have a volume of 43,972.5 in3. If they already have the length measured at 71.5 inches and the width at 60 inches, what is the height needed to reach the desired volume?
A. 5.25 inches
B. 10.25 inches
C. 131.5 inches
D. 283.5 inches
Answers
Answer:
B. 10.25 inches
Step-by-step explanation:
L x W x H
(Length x Width x Height)
First do Length x Width.
Second take the volume and divide it by the first step's answer.
Last you get the answer of 10.25 inches
If a = -9 and b = -4, what is the value of a + b?
Answers
Answer:
the answer is -13
Step-by-step explanation:
Hope this helps.......
1+1 need help asap asap asap PLZ PLZ PLZ
Answers
The addition of whole number 1 plus 1 is 2
How to add numbersAddition of numbers can be performed on any form of number such as
whole number,FractionsDecimal numberAddition of whole number
1 + 1 = 2
2 + 3 = 5
Addition of fraction
1/4 + 7/4
= (1+7) / 4
= 8/4
= 2
Addition of decimal
1.5 + 2.5
= 4
Learn more about addition of numbers:
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Pls, help! A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.
1/3; 2/3
1/2; 1/2
5/6; 1/2
1/6; 5/6
Brainlist for positive attitude and correct answer :D
Answers
Answer: The correct answer is:
Probability of rolling a number less than 3: 2/6 or 1/3
Step-by-step explanation:
Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.
Probability of not rolling a number less than 3: 4/6 or 2/3.
Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D
Look at the image below.what is the area of the parallelogram
Answers
The area of the parallelogram given in the image is 72 square units.
The area of a parallelogram is taken as base × height because it can be divided into two different parts and then reshuffled to make a rectangle, whose area is also base × height.
We know that the area of a parallelogram = base × height ......(i)
Also, we are given quantities for base = 6 units
and height = 12 units
So, putting the values in equation (i), we get
⇒ area = base × height
⇒ area = 6 × 12
⇒ area = 72 square units
So, the area of the parallelogram given is 72 square units.
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Hellppp meeeeeeee PLEASEEEEE:c.
Answers
You can give the unknown value as x to make things easier
( x + 1.75 ) / 2 = -5.1
Find the value of x:
x + 1.75 = –5.1 x 2
x + 1.75 = -10.2
x = -10.2 – 1.75
x = -11.95
Not sure abt the simplified mixed number sorry tho -11.95 gives an answer of -239/20 on a calc
Answer: Answer is -11.95
You can give the unknown value as x to make things easier
( x + 1.75 ) / 2 = -5.1
Find the value of x:
x + 1.75 = –5.1 x 2
x + 1.75 = -10.2
x = -10.2 – 1.75
x = -11.95
:)
Step-by-step explanation:
2.9 - 7.6
yes math, i need more character lol
Answers
lets first switch the numbers of the positions :')
7.6
-2.9
———
4.7
Now, since we switched the numbers around. you should absolute value the 4.7
|4.7| = -4.7
hope this helped. try using this method it helps a ton when subtracting decimals!
1. Explain what the food chain is. Give an example of each level of the food chain.
2. Which trophic level receives the most energy captured by plants?
3. By eating higher up the trophic level, what are humans contributing to?
4. What happens to most of the energy that enters the tropic level?
5. What percent of energy from one tropic level gets passed to another? Explain.
Answers
SORRY my answer got deleted somehow, but. A food chain refers to a sequence of organisms arranged according to the food they consume. The second part of the first question is Producers, consumers, predators, prey, scavengers, and decomposers. i hope this helped i cant answer all of them for you :D
GIVING BRAINLIEST PLEASE HELP!?
Answers
2. 3/4-1/4 = 1/2
2. 2/4 or 1/2 because 3/4 - 1/4
you basically subtract instead of add! :)
(WILL GIVE BRAINLIEST) THIS IS DUE TODAY PLEASE HELP IT IS MATH
Answers
Answer:
A=15
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
All you have to do is count the blocks
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
Triangle 1 is dilated by a scale factor of 4.1 using the origin as the center of dilation to create Triangle 2. Which
statement about the area and perimeter of Triangle 2 is true?
A. The perimeter is 4.1 times the perimeter of Triangle 1, and the area is 4.1 times the area of Triangle 1.
B. The perimeter is 8.2 times the perimeter of Triangle 1, and the area is 8.2 times the area of Triangle 1.
C. The perimeter is 4.1 times the perimeter of Triangle 1, and the area is 16.81 times the area of Triangle 1.
D. The perimeter is 16.4 times the perimeter of Triangle 1, and the area is 16.81 times the area of Triangle 1,
Answers
Answer:
it's A
mark me as brainiest please
The correct statement about the area and perimeter of Triangle 2 is true are,
⇒ The perimeter is 4.1 times the perimeter of Triangle 1, and the area is 16.81 times the area of Triangle 1.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Triangle 1 is dilated by a scale factor of 4.1 using the origin as the center of dilation to create Triangle 2.
Now, We get;
The Triangle 1 is dilated by a scale factor of 4.1 using the origin as the center of dilation to create Triangle 2.
Hence, The perimeter of triangle 2 is 4.1 times the perimeter of Triangle 1.
And, We know that;
Area of triangle = 1/2 x Base x Height
So, The area of triangle 2 is 16.81 times the area of Triangle 1.
Learn more about the triangle visit;
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Help me please I’ll give brainlest if it right
Answers
Answer:
it' should be 0.15 have a great day
Answer:
0.75
Step-by-step explanation:
There are 8 tiles total. 2 of them are blue A. 6 of them are NOT blue A.
The chances of not drawing a blue A is 6/8 or 0.75
please answer quickly
Answers
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)
solve the following proportion
x/2 = 8/9
Answers
Answer:
\(\huge\boxed{\sf x = 16/9}\)
Step-by-step explanation:
Given proportion:\(\displaystyle \frac{x}{2} =\frac{8}{9} \\\\Cross \ Multiply\\\\x \times 9=2\times 8\\\\9x = 16\\\\Divide \ 9 \ to \ both \ sides\\\\x = 16/9\\\\\rule[225]{225}{2}\)
Cross multiply
2x8
=16
Xx9
=9x
Divide both sides by 9
=16/9
yo can someone help a homie out
Answers
what value of x makes the equation 6x + 12 = 42 true?
Answers
Answer:X=5
Step-by-step explanation:
6x + 12 = 42
-12. -12
6x=30
6x. 6
X=5
Check
6(5)+12=42
30+12
42
Answer:
5
Step-by-step explanation:
6x + 12 = 42
6x = 42 - 12
6x = 30
x = 30 ÷ 6
x = 5
A choice matrix is shown. Complete the choice matrix by selecting the type of solution that best describes each equation.
−6+5x−2=2x+8+3x Infinitely Many Solutions No Solution One Solution
−5+3x+4=8+2x−10 Infinitely Many Solutions No Solution One Solution
3x+5−4=−1(1+2x)+x Infinitely Many Solutions No Solution One Solution
8x−6+2=2x−(4−6x) Infinitely Many Solutions No Solution One Solution
Answers
Answer:
Step-by-step explanation:
Add all the Xs the answer is 10x.Then do 8 minus 6 minus 2 the answer would be a -4 I hope that helps you.50 POINTS PLS HELP AND BRAINLIEST
Answers
Create a histogram that shows this information.
Answers
Answer:
Step-by-step explanation:
Answer:
Explanation:
Answer:
Explanation:
Answer:
Explanation:
Answer:
Explanation:
Answer: YOUR MOM
Step-by-step explanation:
What is the area of the figure below?
Answers
wouldn't this just be 2+2+2+2+10+10+10+10? or is it times I'm not sure but I hope this helps anyone to answer this fully :)
2 x 10 = 20, 20 x 3 = 60 [rectangles]
10 x 10 = 100 [square]
100 + 60 = 160 [whole area]
The answer is 160!
HELP IM STUCK ON TWO MATH QUESTION
HELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELP
Answers
A local computer store sold 82 laptops this past month. Since the store first opened, it has sold 76 times that number. How many laptops has the store sold since it opened?
a. 5,412
b. 6,232
c. 6,192
d. 5,952
Answers
The store has sold 6,232 laptops since it opened.
Option B is the correct answer.
We have,
Step 1:
Identify the number of laptops sold last month.
The problem states that the store sold 82 laptops in the past month.
Step 2:
Determine the total number of times the store has sold laptops since it opened.
The problem says that the store has sold 76 times the number of laptops sold last month.
So, we need to multiply 82 by 76.
82 laptops * 76
= 6,232 laptops
Thus,
The store has sold 6,232 laptops since it opened which is option B.
Learn more about expressions here:
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HELP PLEASE IMPORTANT
15. 5(4)
16. 3(-1)
17. (-5)(8)
18. -7(4)(8)
19.(-5)(4)(-1)
20.-5(-10)^3
21.-(-5)^2(4)
22. -4(8) - (-5)
23. (4)^2 - 4 (-5)(-1)
Answers
16) -3
17) -40
18) -224
19) 20
20) 5000
21) -100
22) -27
23) -4
Hope this helps!
Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Which inequality can be used to find out how much he can spend on everything else?
Answers
Answer:
An inequality is not necessary. It is simple subtraction. 2000 - 637 = 1363 Based on the equation, the brother has $1363 to spend on everything else.
29/10 ÷ 1 1/8 please help
Answers
Answer:
116/45
Step-by-step explanation:
hope it's helpful
Kenny bought a 50-pound bag of chicken feed for $29.98 and a 25-pound bag for $15.49. Can you use proportional reasoning to find the price of a 40-pound bag? Explain.
Yes; The ratio of pounds to cost is equivalent.
Yes; The unit rates are the same.
Yes; The line containing these two points passes through the origin.
No; There is no constant of proportionality.
Answers
Did we invent math or did we discover it?
Answers
Mathematics is not discovered, it is invented
Answer:
Maths can be said as both invented as well as discovered.
Like for example, if we take the Pythagoras theorem, what the theorem is based on was already existing (in sense, the sum of the altitude ² + base² was already = hypotenuse ² even without any proof, in a right angled triangle).
But for the various ways to prove the theorem, lots of formula had to be invented.
Hope this helps you...