A) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points)

Answers

Answer 1

Answer:

[tex]a=-\frac{1}{8}[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

Write the vertex form and then solve for

The general equation is:

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

From the attachment, the vertex is at:

[tex](h,k) = (24,50)[/tex]

i.e.

[tex]h = 24; k= 50[/tex]

Considering point:

[tex](x,y) = (4,0)[/tex]

i.e.

[tex]x=4;y=0[/tex]

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

[tex]0 = a(4 - 24)^2 + 50[/tex]

[tex]0 = a(- 20)^2 + 50[/tex]

[tex]0 =a(400) + 50[/tex]

[tex]0 = 400a + 50[/tex]

Solve for a

[tex]400a = -50[/tex]

Make a the subject

[tex]a=-\frac{50}{400}[/tex]

[tex]a=-\frac{1}{8}[/tex]

A) Write The Vertex Form By Substituting In Values For X, Y, H, And K, And Then Solve For A. Show Your
Answer 2

Answer:

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

h = 24, k = 50, x = 4, y = 0

0 = a(4 - 24)^2 + 50

0 = a(-20)^2 + 50

0 = a(400) + 50

0 = 400a + 50

400a = -50

a = - 50/400

a = - 1/8

Step-by-step explanation:

that's what i put copy and paste


Related Questions

I have a big test coming up and i nedd help with this question please :)

Answers

Answer:

the answer is 7/10

Step-by-step explanation:

20 Points!!! Math Question

Answers

Here is how to do the question,

The Remainder Theorem starts with an unnamed polynomial p(x), where "p(x)" just means "some polynomial p whose variable is x". ... If you get a remainder, you do the multiplication and then add the remainder back in. For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials.

Hope that helps!!!!

Answer:

Remainder Theorem starts with an unnamed polynomial p(x), where p(x) just means "some polynomial p whose variable is x". ... If you get a remainder, you do the multiplication and then add the remainder back in, For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials

What is the volume of this composite solid?

A. 1188 cubic meters
B. 567 cubic meters
C. 864 cubic meters
D. 132 cubic meters

Answers

Answer: c

Step-by-step explanation:

i did the test

can someone plz do both of these will mark brainleist

Answers

Answer:

Step-by-step explanation:

2.b=90

1.30

Answer:

Step-by-step explanation:

6. You're gonna use Cos to find Y

Cos = adj/hyp

Cos 27 = 10/y

10/cos27 = y

11.2 = y

7. It'll help immensily if you draw this one out.

You're gonna use Sin to find the angle.

Sin = opp/hyp

Sin 65 = 14/x

14/sin65 = x

15.4 = x

Check the picture, and thanks for the help

Answers

Answer:

According to me the answer is 'c'

According to me the answer is C to

In ΔKLM, the measure of ∠M=90°, the measure of ∠K=78°, and KL = 35 feet. Find the length of MK to the nearest tenth of a foot.

Answers

Answer:

7.3 feet

Step-by-step explanation:

osK=

hypotenuse

adjacent

=

35

x

\cos 78=\frac{x}{35}

cos78=

35

x

35\cos 78=x

35cos78=x

Cross multiply.

x=7.2769\approx \mathbf{7.3}\text{ feet}

x=7.2769≈7.3 feet

Type into calculator and round to the nearest tenth of a foot.

Answer:7.3

Step-by-step explanation:

rite an equation of the line with the given​ slope, m, and​ y-intercept (0,3).
The equation is_______

m=0, b=-5



​(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)

Answers

since y=mx+b i think the equation will be
3=x-5

3) In the diagram shown, circles with centers at points A and B intersect at points Cand D. Segments AC, BC, AD and BD have been drawn to form quadrilateral ACBD. Circle A has a radius of length 5 cm and circle B has a radius of 3 cm. What is the perimeter of ACBD? Justify. (3 points)​

Answers

Answer:

16 cm

Step-by-step explanation:

Whatever the positions of A and B changed, AC always = AD = 5 cm

and BC = BD = 3 cm

perimeter of ACBD = 2*5 + 2*3 = 16 cm

write 4729 correct to the nearest hundred

Answers

Answer:

4700

Step-by-step explanation:

4729 - 7 is in place of the hundreds, so cut off the rest and make sure, if needed, to round

Answer:

4700

Step-by-step explanation:

round the number up to the nearest hundred if the last two digits in the number are 50 or above.

round the number down to the nearest hundred if the last two digits in the number are 49 or below.

If p:q = 34 :2 and p:r = 13 : 12, find the ratio of p:q:r​

Answers

Answer:

p:q:r = ?

p:q = 13/2

p:r = 34/12

= 17/6

p:q:r = 221:34:78

Step-by-step explanation:

The total cost of renovation depends on labor and materials. You decide to budget $25,000 towards labor. The amount, A, that each worker earns varies inversely to the number of workers on the job, n.

1) complete the table to indicate the amount earned for the given number of workers.

2) what do you notice about the product, A*n?

Answers

Answer:

see attachedA*n is the constant 25000

Step-by-step explanation:

1)

The amount A is said to vary inversely with n, so the equation relating the two is ...

  A = k/n

The value of k can be found by multiplying this equation by n:

  k = nA

Using values from the first line of the table, we find ...

  k = (1)(25000) = 25000

So the relation we need to use to fill the table is ...

  A = 25000/n

The filled table is attached.

__

2)

As we saw in part 1, the product A*n is the constant of proportionality. It is a constant.

30 POINTS!! PLEASE HELP



What is the area of the shape below?

Answers

Answer:

168 square feet

Step-by-step explanation:

A = 18 x 8 + 8 x 6 x 1/2

A = 144 + 24

A = 168

Hope that helps!

Answer:

150

-i just learned that and you have to multiply lenght × width × height

18×8×6 and its 150

the figure below shows a 60 foot pole held in place by wires anchored at point B, 40 feet from the base of the pole.

Answers

Answer: A: 21.4

Step-by-step explanation:

For the figure, on the pole where, tower is attached, the measure of side DC is 21.4 feet.

What is right angle triangle property?

In a right angle triangle, the ratio of the opposite side to the adjacent side is equal to the tangent angle between them.

[tex]\thn \theta=\dfrac{b}{a}[/tex]

Here, (a) is the adjacent side, (b) is the opposite side and [tex]\theta[/tex] is the angle made between them.

The height of the pole is 60 foot. Therefore,

[tex]AC=60\rm ft[/tex]

The distance of the wire from the base of the pole is 40 feet. Therefore,

[tex]BC=40\rm ft[/tex]

Therefore, the tangent angle can be given as,

[tex]\tan\angle(ABC)=\dfrac{60}{40}\\\angle(ABC)=\tan^{-1}(1.5)\\\angle(ABC)=56.31^o[/tex]

The angle DBC is half of the angle ABC. Thus,

[tex]\angle(DBC)=\dfrac{56.31}{2}\\\angle(DBC)=28.15^o[/tex]

Now, again in the triangle DBC, the tangent angle can be given as,

[tex]\tan(28.15)=\dfrac{DC}{40}\\DC=21.407\rm ft[/tex]

Hence, on the pole where, tower is attached, the measure of side DC is 21.4 feet.

Learn more about the right angle triangle property here;

https://brainly.com/question/22790996

please help!!! - The price of an item has been reduced by $1.08. The new sale price is $98.75. What was the original price?

Answers

Answer:

my answer is 106.65 that is times

Answer:

$99.83

Step-by-step explanation:

The original price was lowered by $1.08, so the new price is $1.08 less than the original. Since the new price is $98.75, subtract $1.08 to get the original price. $98.75- 1.08= $99.83

Mohsin, Yusuf and Luke are going to play a game.
At the end of the game, one of them will be in First place, one of them will be in
Second place and one of them will be in Third place.
Use the table below to list all the possible outcomes of the game.
First place
Second place
Third place

Answers

The possible outcomes of the game, in terms of first place, second place, and third place, are:

Mohsin, Yusuf, Luke

Mohsin, Luke, Yusuf

Yusuf, Mohsin, Luke

Yusuf, Luke, Mohsin

Luke, Mohsin, Yusuf

Luke, Yusuf, Mohsin

To list all the possible outcomes of the game, we need to consider the different permutations of the three players: Mohsin, Yusuf, and Luke. Since there are three players, there are a total of 3! (3 factorial) possible outcomes, which is equal to 3 x 2 x 1 = 6.

Using the table format, we can list the possible outcomes as follows:

Outcome 1: Mohsin, Yusuf, Luke

Outcome 2: Mohsin, Luke, Yusuf

Outcome 3: Yusuf, Mohsin, Luke

Outcome 4: Yusuf, Luke, Mohsin

Outcome 5: Luke, Mohsin, Yusuf

Outcome 6: Luke, Yusuf, Mohsin

Each outcome represents a different arrangement of the players in the first, second, and third places.

As a result, the following players might finish first, second, and third in the game: Mohsin, Yusuf, and Luke

Luke, Mohsin, and Yusuf

Luke, Yusuf, and Mohsin

Mohsin, Luke, and Yusuf

Yusuf, Mohsin, and Luke

Mohsin, Yusuf, and Luke

These outcomes represent all the different ways in which the players can finish the game.

for such more question on permutations

https://brainly.com/question/28065038

#SPJ8

PLEASE HELP 20 POJNTS

Answers

You will have to draw a line through (0,2) with a slope of -1

Answer:

Line through 0,2

Step-by-step explanation:

what is the opposite of -20?

Answers

Answer:

its 20

Step-by-step explanation:

Identify and describe the error in the incorrect counselor's work.

Answers

Answer:

?????????

Step-by-step explanation:

?????????

Help out a bro will give Brainly

Answers

Ima go with C i think

Carlos bought 80 feet of rope for $17.60. He needs 20 more feet. If the unit price is the same how much will he pay for the extra 20 feet of rope? Show each step of your solution and explain your reasoning. im in advanced math tho so

Answers

Answer:

Another 20 feet would be +4.40$

so the total would be $22

Step-by-step explanation:

17.60/4 because 80/20 is 4.

If Carl mowed 4 yards for $35, how much will he get for mowing 7 yards?​

Answers

Answer:

61.25 dollars

Step-by-step explanation:

We can use a ratio to solve

4 yards            7 yards

--------------  = -----------------

35 dollars         x dollars

Using cross products

4x = 35*7

4x =245

Divide each side by 4

4x/4 = 245/4

x =61.25

What does z equal?pls help me.

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the inequalities.

==> -2z +10z -7 > = 2z -9z -4

=> 8z - 7 >= -7z -4

=> 8z +7z >= -4+7

=> 15z >= 3

=> z >= 3/15

===>

[tex]z \: \geqslant \frac{1}{5} [/tex]

-40, -47, -54, -61, ...
Find a 29

Answers

Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference d = -7

a₂₉ = a₄ + (29-4)d = -61 + 25(-7) = -236

One number is nine more than another number. If the sum of the number is 65, find both numbers

Answers

Answer:

Step-by-step explanation:

x+x+9=65

2x=56

x=28

28,37

Answer:

one number= 28, other number= 37

Step-by-step explanation:

9+x+x=65

9+2x=65

2x=56

x=28

Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
b)
b
17 cm
a
b
8 cm
12 cm
5 cm

Answers

Answer:

a=9.4cm

b=12.0cm

Step-by-step explanation:

what’s the difference between the expansion of (-2x)^2 and -2x^2

Answers

Answer:

the one in parenthesis means you have to multiply the Pareinthasis first while the one wi5hout it dose not matter of in order

How is it 86 I neeeed Explainatiob pleaseeee!!!!!

Answers

Answer:

it is 86

Step-by-step explanation:

House 1 has 6 sticks. House 2 has 11, house 3 has 16, and the pattern goes on. Each following house uses 5 more sticks. At design 17, we can use this pattern to solve for it. We would do 5*17, remembering to add 1 as house 1 has its own additional stick. 5*17 + 1 = 86

Hope this helps, let me know if you have any questions :))

Y 9. ΔΧΥΖ» Δ. ~^_ A. XYT; YZT B. XTY; YTZ C. TXY, ZYT Z T Х D. YXT; TYZ​

Answers

Answer:

A

Step-by-step explanation:

What is the possible scale factor for the rectangle?

Answers

Answer:

A

Step-by-step explanation:

I think it’s A and B. I hope I think

*
Determine if the following is a right triangle. Explain how you know.
Opoints
6
8
9

Answers

Answer:

Step-by-step explanation:

Are the sides consistent with the Pythagorean Theorem?

6² + 8² ≟ 9²

36 + 64 ≠ 81, so it is not a right triangle.

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