Write an equation of the parabola in vertex form. (-2, 6) (-1, 3)
An equation of the parabola is y=​

Write An Equation Of The Parabola In Vertex Form. (-2, 6) (-1, 3) An Equation Of The Parabola Is Y=

Answers

Answer 1

The equation of the parabola is y = -3(x + 2)^2 + 6

How to determine the parabola equation?

From the graph, we have:

Vertex, (h,k) = (-2,6)Point (x,y) = (-1,3)

A parabola is represented as:

y = a(x - h)^2 + k

Substitute (h,k) = (-2,6)

y = a(x + 2)^2 + 6

Substitute (x,y) = (-1,3)

3 = a(-1 + 2)^2 + 6

Evaluate

3 = a + 6

Subtract 6 from both sides

a = -3

Substitute a = -3 in y = a(x + 2)^2 + 6

y = -3(x + 2)^2 + 6

Hence, the equation of the parabola is y = -3(x + 2)^2 + 6

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Related Questions

What is the cubic root of 81 without a calculator? And how do you get it? Please explain

Answers

Answer:

[tex] 3\sqrt[3]{3} [/tex]

Step-by-step explanation:

First, notice that 81 is divisible by 3.

81/3 = 27

27 is also divisible by 3.

27/3 = 9

9 = 3 * 3

81 = 3 * 3 * 3 * 3

81 = 3^3 * 3

[tex] \sqrt[3]{81} = \sqrt[3]{3^3 \times 3} = 3\sqrt[3]{3} [/tex]

What is the sum of the 15th square number and the 4th square number?

Answers

Answer:

241

Step-by-step explanation:

15th squared number = 225

4th squared number = 16

225 + 16 = 241

3) A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the
ground x seconds after it is thrown is given by f(x)=-16x2 - 4x + 382 How long after the rock is
thrown is it 340 feet from the ground?

Answers

Answer:

1.5 seconds

Step-by-step explanation:

Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:

340 = -16x² - 4x + 382

0 = -16x² - 4x + 42 (Subtract 340 from both sides)

16x² + 4x - 42 = 0  (Multiply entire equation by -1, "flip" equation)

8x² + 2x - 21 = 0    (Divide entire equation by 2)

(4x + 7)(2x - 3) = 0  (Factor LHS)

4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)

4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)

[tex]x = -\frac{7}{4} =-1.75 . or .x= \frac{3}{2} = 1.5[/tex]

x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.

(hop this helps can I pls have brainlist (crown)☺️)

402/3333 simplified please

Answers

Answer:

134/1111

Step-by-step explanation:

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact form:  [tex]\frac{134}{1111}[/tex]

Decimal form: 0.1206...   (repeating)

Bob's Gift Shop sold 500 cards for Mother's Day. One salesman, Robert, sold 2% of the cards sold for Mother's Day. How many cards did Robert sell? Divide/scale down to solve for the missing percent.

Answers

Answer:

Robert sold 10 cards for Mother's Day

Step-by-step explanation:

2% of 500 is exactly like multiplying 0.02 with 500 which is 10

PLEASE HELP HELPPPPPPPPP

Answers

Answer:

(1,-4)

Step-by-step explanation:

2x+4y=-14

x-2y=9

2x+4y=-14

2(x-2y)=(9)2

2x+4y=-14

2x-4y=18

Add X

4x=4

X=1

Substitute x into any equation

(1)-2y=9

-2y=8

y=-4


2.2.10^6 cm in standard notation

Answers

Answer:

1000000 or 2200000

Step-by-step explanation:

(im not sure if your asking for 10^6 or for 2.2 times 10^6 so whichever one applies to you

At last year's company picnic, 25 pounds of ground beef were needed to make 100 hamburgers.

How many pounds of ground beef will be needed this year if 120 hamburgers are to be made?




30 lb

45 lb

50 lb

55 lb]

Answers

Answer:

46lb

Step-by-step explanation:

you take twenty five divide by one twenty

Answer:

30lbs your awnser is that 30 pounds

helpppppppppppppppppppppppppp

Answers

Answer:

with what?

Step-by-step explanation:

. Excel Secondary School wants to send its students for an educational trip and has found an organisation that is willing to sponsor up to an amount of $2 500 for the trip. Given that the cost of sending a student for the trip is $12, what is the maximum number of students the school can send for the trip if it relies only on the sponsorship?​

Answers

Answer:

208 students I think that's the answer

approxomate negative square root of 23 to the nearest tenth. draw the point on the number line

Answers

Answer:

Step 1: Calculate

We calculate the square root of 23 to be:

√23 = 4.79583152331272

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

4.79

Step 3: Round

Round 4.79 so you only have one digit after the decimal point to get the answer:

4.8

To check that the answer is correct, use your calculator to confirm that 4.82 is about 23.

The negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.

What is a perfect square number ?

Number which are formed by multiplying a number with itself once are called perfect square numbers.

Now the given number is,

negative square root of 23

Thus we have, [tex]-\sqrt{23}[/tex]

So the value of [tex]-\sqrt{23}[/tex]  is -4.79

To round to the nearest tenth, so the digit at the tenth place is 7 and digit at right of 7 is 9 which is greater than 5 so roundup the digit.

Thus we get,
[tex]-\sqrt{23}[/tex] = 4.8

Thus, this point will lie between 4 and 5 and more closer to 5.

Thus, the negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.

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The component form of a vector indicates the changes in x and y from the
starting point to the endpoint. What is the component form of this vector?

Answers

The vector’s component form is (-8, 2)

It moves negative 8 units towards the left. 4 - 8 = -4. And it moves positive 2 units upwards -1 + 2 = 1.

We will see that the component form of the given vector is <-8, 2>, so the correct option is D.

How to get the component form of the vector?

For a vector with starting point (a, b) and endpoint (c, d), the component form is:

<c -a, d -b>

In this case, we can see that the starting point is (4, -1), and the endpoint is (-4, 1)

Then the component form of the vector is:

<-4 - 4, 1 - (-1) > = <-8, 2>

So the correct option is D.

If you want to learn more about vectors, you can read:

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What is the correct number form for ""seven and eighty-three thousandths?""7.8037.0837.837.830

Answers

Answer: 7.083

Step-by-step explanation:

Can not be 7.803 because the 8 is in the tens place and the 3 is separated from it. Can't be 7.83 or 7.830 either because the 83 is only in the hundredths place. They are also the same thing seeing as the 0 is not needed, so they are said the same way, which would be seven and eighty-three hundredths.

what is the amount of water in the aquarium at 0 minutes

Answers

Answer:

I would guess it would be 0 but is there a graph or background info

?

Step-by-step explanation:

Draw an area model. Then, Solve using the standard algorithm.
642 x 207

Answers

Uhmm,, 132,894?

132,894 ba?

An area model for the area of 1,32,894 units² is shown in the image.

We have to give that,

The standard algorithm is,

642 x 207

Now, for the area model,

Draw a rectangle with a length of 642 units and a width of 207 units.

Then, the Area of the rectangle is,

A = Lenght x Width

A = 642 x 207

A = 1,32,894 units²

Hence, the Area is,

A = 1,32,894 units²

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The volume of the above cylinder is 21m find the radius of the circular end

Answers

Answer:

0.75m

Step-by-step explanation:

The volume of a prism is:

the area of the cross section × length

In this case the cross section is the circle so the formula is

v = πr²h

volume = 21m³

height or length = 12m

Sub in the values:

21 = πr² × 12

1.75 = πr² (I divided both sides by 12)

0.5570423008 = r² (I divided both sides by π)

r = 0.74635... (I square rooted both sides)

r ≈ 0.75m (to 2 d.p)

What is -100 represented in exponents

Answers

>> Exponents

____________

[tex] \: [/tex]

100 in exponent 1 - 10 :

100¹ = 100100² = 10.000100³ = 1.000.000100⁴ = 100.000.000100⁵ = 10.000.000.000100⁶ = 1.000.000.000.000100⁷ = 100.000.000.000.000100⁸ = 10.000.000.000.000.000100⁹ = 1.000.000.000.000.000.000100¹⁰ = 100.000.000.000.000.000.000

Find the surface area of the square pyramid. Round your answer to the nearest hundredth.
A. 175.42
B. 176.42
C. 185.42
D. 192.42

Answers

Answer:

175.42

Step-by-step explanation:

 

surface area of square pyramid is given by:

Area= s^2 + 2(s)(l)

where s is the base and l is the slant height

in given problem, slant height l is not given, so by using Pythagoras theorem finding l:

c^2= a^2 + b^2

    =  8^2 + 4^2

    = 48.49

c     = 6.96348

Now putting values of s=8 and l= 6.96 in first formula

Area= 8^2 + 2(8)(6.96)

     =  64 + 111.41

     = 175.42

!

3/4 of a number 120 What is three-eights of the number? please answer no point scamming i will give you brainiest

Answers

Answer:

3/4 * 120 = 90

3/8 * 120 = 45

Step-by-step explanation:

3/4 of something is the same as multiplying by 0.75 (to do it one way.)

Or you can just divide 120 by 4, then multiply it by 3.

EDIT: I see you're asking for 3/4, then 3/8...

If it's 3/8s you want, it's 45.

area of photograph 875cm2 and area of puzzle 2385cm2 length 35 workout the length

Answers

Answer:

https://sooddan.zendesk.com

PLEASE 40 points
What is an equation that has -12 and 15 as it’s only solutions

Answers

Answer: x^2+27x+180

Step-by-step explanation: can  i pls have brainliest i need it for my goal

Which numbers represent the solutions to the inequality below? Check all that apply.

Answers

Your answer will be -3 only

A store sells a 3 -pound bag of oranges for $3.60 and a 5 -pound bag of oranges for $5.25 . What is the difference between the price per pound for the 3 -pound bag of oranges and the price per pound for the 5 -pound bag of oranges

Answers

Answer:

The price of 3 pounds would be $1.20 per pound and the price of 5 pounds would be $1.05 per pound

So, Five pound would cost 15 cents less than the 3 pounds

Step-by-step explanation:

Divide the price by the pounds

Hope this helps

Find the equation of the line that passes through (-1,2) and is perpendicular toy=1−2x.Leave your answer in the formy=mx+c

Answers

The answer is y=1/2x+2.5

heeelpeee plzzzz

Find the sum!!

Answers

Answer:

Your answer is the third one or the yellow one.

Step-by-step explanation:

Hope this helps!

a car is traveling at a steady speed. it travels 2 1/2 miles in 3 1/3 minutes. how far will it travel in 25 minutes. in 1 hour?

Answers

Answer:

Step-by-step explanation:

The car will travel 30 2/3 miles in 45 minutes.Oct

We have distanced covered in 25 minutes-16.5miles and in 1 hour-40.2miles

The sum of half of a number and 8 less
than the number is 25. Find the number.

Answers

Answer:

The number is 22

Step-by-step explanation:

let x = the number

[tex] \frac{1}{2} x + x - 8 = 25 \\ \frac{1}{2} x + x - 8 + 8 = 25 + 8 \\ \frac{1}{2} x + x = 33 \\ factor \: out\: x \: on \: the \: left \\ x( \frac{1}{2} + 1) = 33 \\ divide \: both \: sides \: by \: \frac{1}{2} + 1 \\ \frac{x( \frac{1}{2} + 1) }{ \frac{1}{2} + 1} = \frac{33}{ \frac{1}{2} + 1} \\ x = \frac{33}{ \frac{3}{2} } \\ x = \frac{66}{3} \\ x = 22[/tex]

let's factor out x from the left hand sid

Which value is equal to -87 divided by (-9)?

Answers

Step-by-step explanation:

-9×(-87)=783

783÷(-9)=-87

What is the equation of the line that passes through points (-3, 0.5) and (3, -0.5)?
Group of answer choices
=−6
y
=

6
x

=−16
y
=

1
6
x



=−6−17.5
y
=

6
x

17.5



=−16+1

Answers

Answer:

Remember that the slope is the change in y/the change in x

Step-by-step explanation:

1. The slope  [tex]\frac{-0.5- 0.5}{3 - (-3)}[/tex]

                  = [tex]\frac{-1}{6}[/tex]

2.  Find "b" which is the y-intercept.  Pick one of the two point and the slope.

     Let use (-3, 0.5) and the slope is -1/6

      y = mx + b

      0.5 = -1/6 (-3) + b                      Solve for b

       3 = 3 + b                                   Multiply each term by 6

       0 = B

3. Write the equation of the line  y = mx + b

                                                       y = -1/6x + 0

       

Help me!!

1. 6 + 7 = ...
2. 6 - 7 = ...
3. 6 - (-7) = ...
4. -6 - 7 = ...
5. -6 + (-7) = ...

please include the steps!! ​

Answers

Answer:

1. 6+7= 13

2. 6-7= -1

3. 6+7= 13. (- × - = +)

4. -6-7= -13

5. -6-7= -13. (+ × - = -)

>> Answer

_________

[tex] \: [/tex]

1.) 6 + 7 = (5 × 2) + (1 + 2) = 10 + 3 = 13

2.) 6 - 7 = (5 - 5) + (1 - 2) = 0 + (-1) = -1

3.) 6 - (-7) = 6 + 7 = (5 × 2) + (1 + 2) = 10 + 3 = 13

4.) -6 - 7 = (-6) + (-7) = -(6 + 7) = -13

5.) -6 + (-7) = -(6 + 7) = -13

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