A parabola opening up or down has vertex (4, -1) and passes through (-9, -181/12). Write its equation in vertex form

Answers

Answer 1

Answer:

  y = -1/12(x -4)² -1

Step-by-step explanation:

The vertex form equation for a parabola is ...

  y = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'

The vertex coordinates are given. To find the scale factor, we substitute the given point.

  -181/12 = a(-9 -4)² -1 . . . . . substitute the given values into the equation

  -181/12 = 169a -1 . . . . simplify a bit

  -169/12 = 169a . . . . add 1

  a = -1/12 . . . . . . . multiply by 1/169

The vertex form equation of the parabola is ...

  y = -1/12(x -4)² -1

A Parabola Opening Up Or Down Has Vertex (4, -1) And Passes Through (-9, -181/12). Write Its Equation

Related Questions

What is the slope of the line perpendicular to the line with the equation 5x + 3y=18?

Answers

Answer:

3 i think

hope it helps...

Which point is not on the graph of the equation
4x+2y=12
A.(-2, 10)
B.(0, 6)
C.(-5, 4)
D.(7, -8)

Answers

Answer:

-5, 4

Step-by-step explanation:

When finding the slope of all the points they all are supposed to equal -2. (-5, 4) slope is 2, so that is why it is incorrect.

Hope this helps! :)

Sam make $10.25 per hour working at Cheddars. He plans to buy a laptop for
$550. Write and solve an inequality describing how many hours h Sam will have
to work to be able to buy the laptop. (Round to the next higher hour)

Answers

Answer:

10.25h ≥ 550; at least 54 hours

How do you find the discrimminant in algebra?

Answers

Step-by-step explanation:

the discriminant is the part of the quadratic formula underneath the square root symbol : b2 -4ac . the discriminant tells as whether there are two solutions ,one solution , or no solution....

HELP!!!!!!
THANKS!!!

Answers

Perimeter 296 cm

Area: 4851 cm²

Question (b)

Answer:

Perimeter

Question (c)

Answer:

Area

9th October 2020
Assignment
1. The perimeter of a bectangular plot of land whose length
is (2x+5)m and width (x-10)m is 80m
find the value of ×​

Answers

Answer: x = 15

Step-by-step explanation:

The perimeter is the sum of the 2 lengths and 2 widths.

Step 1: 2 times the length is 4x + 10

Step 2: 2 times the width is 2x - 20

Step 3: Add the both results together.

6x - 10

Step 4: Create an algebraic equation.

6x - 10 = 80

Step 5: Solve for x.

6x = 90

6x/6 = 90/6

x = 15

PLEASE HELP 100 POINTS

Answers

Step-by-step explanation:

the total surface area is the sum of the individual areas.

we have the ground area : a 6×6 square. = 36 cm²

and we have 4 equal triangles.

the area of a triangle is baseline × height / 2.

which is for each of these triangles

6 × 12 / 2 = 3 × 12 = 36 cm²

so, the total surface area of the pyramid is

36 + 4×36 = 5×36 = 180 cm²

Solution:

We know that:

Surface area of square pyramid = Sum of the area of the faces.

This means that:

Surface area of square pyramid = Area of square + 4(Area of triangle)

First, let's find the area of the triangle and square. Then, substitute them in the surface area equation to find the surface area of the pyramid.

Finding the area of a triangle:

1/2 x 12 x 6=> 6 x 6=> 36 cm²

Finding the area of a square:

6 x 6=> 36 cm²

Finding the surface area of the pyramid:

Surface area of square pyramid = Area of square + 4(Area of triangle)Surface area of square pyramid = 36 + 4(36)=> 36 + 144=> 180 cm²

maths question ‎‎‎‎‎v‎v

Answers

Answer:

Step-by-step explanation:

Let assume Polly got "x" amount of money, then Andy got "2x" and Phoebe got 3(2x)

x + 2x + 6x = 270

9x = 270

x = 30

Polly has 30 ( pound sterling )

Andy has 60 ( pound sterling )

Phoebe has 180 ( pound sterling )  

There are 5 crayons. Two are broken. What fraction of the crayons are not broken?.

Answers

Answer:

3/5 of the crayons are not broken since 2 are broken

The fraction of crayons that are not broken if out of 5 crayons, 2 of them being broken is 3/5

How to interpret the fraction?

Suppose the fraction is proper (the numerator is smaller than the denominator).

Let it be [tex]\dfrac{a}{b}[/tex]

Then, we can interpret it as:

[tex]\dfrac{a}{b}[/tex]    is "a" parts out of "b" parts of a thing.

Here, we're specified that:

5 crayons are there2 crayons are broken

Then we get:

Number of crayons that aren't broken = total crayons - number of broken crayons = 5 - 2 = 3

Thus, 3 out of 5 crayons are not broken.

Using fraction, we write it as:
[tex]\dfrac{3}{5}[/tex]

We pronounce it as "three-fifth of total crayons are not broken".

Thus, the fraction of crayons that are not broken if out of 5 crayons, 2 of them being broken is 3/5

Learn more about fraction here:

https://brainly.com/question/11455463

Question number 2 please

Answers

Answer:

[tex]1 \frac{5}{6} [/tex]

Step-by-step explanation:

[tex] \frac{1}{6} + 1 \frac{2}{3} \\ \\ \frac{1}{6} + \frac{5}{3} \\ \\ \frac{1 + 10}{6} \\ \\ \frac{11}{6} \\ \\ = 1 \frac{5}{6} [/tex]

The right answer is not in the option smh.

What is the area of rectangle of dimensions 12cm×10cm (a- 44cm^2 (b- 12cm^2 (c- 1440cm^2 (d- 1200cm^2​

Answers

Question :-

Find the Area of Rectangle whose Length is 12 cm and the Breadth is 10 cm .

44 cm²120 cm²1440 cm²1200 cm²

Answer :-

Area of Rectangle is 120 cm² .

Explanation :-

As per the provided information in the given question, we have been given that Lenght of the Rectangle is 12 cm and Breadth of the Rectangle is given 10 cm . And, we have been asked to calculate the Area of Rectangle .

For calculating the Area of Rectangle , we will use the Formula :-

[tex] \bigstar \: \: \boxed{ \sf{ \: Area \: of \: Rectangle \: = \: Length \: \times \: Breadth \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf {Area \: of \: Rectangle \: = \: Length \: \times \: Breadth} [/tex]

[tex] \longmapsto \: \: \sf {Area \: of \: Rectangle \: = \: 12 \: \times \: 10} [/tex]

[tex] \longmapsto \: \: \textbf {\textsf {Area \: of \: Rectangle \: = \: 120 \: cm² }} [/tex]

[tex] \underline {\rule {190pt} {4pt}} [/tex]

Given:length= 12 centimeters width= 10 centimetersTo find:

The area of the given rectangle.

Solution:

[tex]area = length \times width[/tex]

[tex]a = 12 \times 10[/tex]

[tex]a = 120 \: {cm}^{2} [/tex]

Therefore, the area of the given rectangle is 120 square centimeters.

Answer= Option B


Miss Lewis has $523.50 in her savings account. Her bank pay 5 3/4%
interest. If the interest is computed once per year, how much interest will
she make in one year?

Answers

Answer:

30.10125

Step-by-step explanation:

Tell me if you need a step b step explanation

Maria is trying to decide which one of two winter coats she should buy. The blue coat usually costs $48 but is on sale for 25% off. The black coat usually costs $56 but is on sale for 40% off. How much less is the sale price of the black coat than the sale price of the blue coat?.

Answers

There is $2.4 less is the sale price of the black coat than the sale price of the blue coat.

What is discount?

Discount is a kind of reduction or deduction in the cost price of a product.

Given

Maria is trying to decide which one of two winter coats she should buy.

The blue coat usually costs $48 but is on sale for 25% off.

The black coat usually costs $56 but is on sale for 40% off.

The cost of the blue coat after 25% discount;

[tex]= 48\times \dfrac{25}{100}\\\\= 48 \times \dfrac{1}{4}\\\\= 12[/tex]

The cost of the blue coat after discount = $48 - $12 = $36

The cost of the black coat after 40% discount;

[tex]= 56 \times \dfrac{40}{100}\\\\= 56 \times 0.40\\\\=22.4[/tex]

The cost of the black coat after discount = $56 - $22.4 = $33.6

The price of the coat less is the sale price of the black coat than the sale price of the blue coat is;

= $36 - $33.6

= $2.4

Hence, there is $2.4 less is the sale price of the black coat than the sale price of the blue coat.

To know more about discount click the link given below.

https://brainly.com/question/8477909

Ya'll at this point I'm stressed out w this question please , I beg you help mee !!! attachment included !!

Answers

Answer:

(7,0) (9.5,0) x-axis

(0,4) y axis

(6.4, 2.7) 1st quadrant

(-3,2) 2nd quadrant

(-2.9, -4.6) 3rd quadrant

(8,-1) 4th quadrant

Step-by-step explanation:

x axis is second number 0

y axis is first number 0

1st quad is positive positive

2nd quad is negative positive

3rd quad is negative negative

4th quad is positive negative

someone help me
3(x-1)=3x-?

Answers

Answer:

3x-3

expanding the brackets

3 times x and -1 times 3

Pleaseeeeeee helppp!!!

Answers

Hey there!

12 pieces make a dozen

12 pieces uses 2 cup of flour

That means per flour is 6

=> 6s = 36

Substitute 6s = 36

=> 6s = 36 { obtain a formula for s}

=> s = 36/6 { Divide}

=> s = 6

Therefore, they need 6 scoops of flour

So the equation would be 37=2x

30 points!!!!! Please help me with the statements and reasoning please!!!

Answers

Answer:

Given --- <R is the midpoint of SI, <S is congruent to <I

Reflexive Property --- <R = <R

CPCTC---<Q is congruent to <H

OR

Corresponding Angle Theorem --- <Q is congruent to <H

Hopefully this helps! It's been a little while since I've learned this unit

Step-by-step explanation:

-42.3 divided by 3.4

Answers

Answer:

-12.44

Step-by-step explanation:

Answer:

[tex]-\frac{423}{34}[/tex]  

I hope this helps!

What are the two missing terms in this number sequence: 18,33,38,48,__,63? *​

Answers

Answer:

53 and 58 please give brainly

Diego likes to add an 18% tip to
his restaurant check. How much
tip will he leave if his total bill is
$65.70?

Answers

Answer:

the tip would be $11.83

Step-by-step explanation:

hope that helps

x- 4y=28 in slope intercept form

Answers

Answer:

y = -9.5 + x/4

Step-by-step explanation:

1. x-4y=38

-x -x

2. -4y= 38-x

/-4 /-4 /-4

3. y= -9.5 + x/4

The equation of a line x- 4y = 28 in slope intercept form is y = (1/4)x - 7.

What is slope?

Slope can be defined as the rate of change of the y-axis with respect to the x-axis. Slope can also be thought of as rise over run which is (y₂-y₁)/(x₂-x₁).

We know the equation of a line in slope intercept form is y  mx + b.

Where slope = m, y-intercept = b, and (x,y) are the points that lie on the line.

Given x - 4y = 28.

-4y = - x + 28.

4y = x - 28.

y = (1/4)x - 7.

learn more about lines here :

https://brainly.com/question/21511618

#SPJ2

Problem of the Day

Kendra compares the unit rates for the following four boxesof cereal so she can choose the one that is the best value.

Which box of cereal should she choose?

A. 32 ounces for $3.84
B. 16 ounces for $1.76
C. 18 ounces for $2.52
D. 24 ounces for $1.92

Answers

OPTION D

3.84 divided by 32 is 0.12, so
A. $0.12 for each ounce
B. $0.11 for each ounce
C. $0.14 for each ounce
D. $0.08

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

B and D

Step-by-step explanation:

From inspection of the graph, we can see that as [tex]x[/tex] increases, [tex]f(x)[/tex] tends to 0 (gets increasingly closer to zero, but doesn't actually get there).

Therefore:

B)  [tex]\textsf{as }x\rightarrow +\infty, f(x) \rightarrow 0[/tex]

From inspection of the graph, we can see that as [tex]x[/tex] decreases, [tex]f(x)[/tex] is increasing.

Therefore:

D) [tex]\textsf{as }x\rightarrow -\infty, f(x) \rightarrow +\infty[/tex]

Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?
ANSWER: A

Answers

Answer:

>

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!

Answers

Answer:

10, 17

27, 34

x, x+7

A store 7% sales tax.which expression can be used to find the total cost of an item with a price of p?

Answers

1.07

Step-by-step explanation:

Below. Lets say 1 is 100 dollars sale tax. If 1 is 100 7 would be 7.00

If you have an item that costs 10 dollars and a sales tax of 7% you could do it this way

10 * 7/100 = 0.70 dollars.

The total cost is 10.70 dollars. or 10 dollars and 70 cents.
The best way to do the total however is to multiply the cost by 1.07. You will get the number the customer has to pay.
10 * 1.07 = 10.70
So for any price (p) it would be 1.07*p




PLEASEEEEE help!!!!!!!!!!!!

Answers

Answer:

2st

Step-by-step explanation:

because only 34 can be divided by 17 and there arent enough of s and ts

6.) The volume of a sphere is two-thirds the volume of a cylinder with the same radius r and height of 2r.


True
False

Answers

the correct answer is ture

Use picture above.

Write the ratio. Please explain what the ratio means.

Answers

1) 2:5 ratio

This is a fairly simple process, you count how many of each and then put them in order the way the question asks.

So there are 5 cans and 2 bottles. The question asks "bottles to cans" so the correct answer HAS to be 2:5, NOT 5:2.

2) 3:1

There is 1 spoon and 3 forks. The question asks "forks to spoons" so the correct answer HAS to be 3:1, NOT 1:3

What are the intercepts of this line?

-4
-2
2
4
-2
-4

Answers

Y Intercept is 1

X Intercept is 0.5

Step-by-step explanation:

Hope this helps!

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