Write an equation in vertex form for each graph or given information: 31. Vertex (-5, 12) and through the point (-2, 15)​

Answers

Answer 1

Answer:

(-3,16)

Step-by-step explanation:

(-5,12)

f (x) = ( (x+5) (x+5) ) + 12

f (x) = x^2 + 10x + 37

(-2,15)

f (x) = ( (x+2) (x+2) ) + 15

f (x) = x^2 + 4x + 19


Related Questions

A planee is flying at a speed of 250 miles per hour. How long does it take to fly 250 (show steps)

Answers

Answer:

1

Step-by-step explanation:

If the plane goes 250 per HOUR, then it will take that one hour to get to 250

Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, but now the bathroom faucet is leaking. He’s wondering if the dripping rate is the same as the kitchen, so again he starts his observations. However, this time he notes that for the bathroom faucet, 8 ounces of water dripped in 12 minutes.
A) At this rate, how many ounces of water will drip in a day?

Answers

Answer:

960 ounces in 1 day

(Sorry for a late response, I just logged on)

Step-by-step explanation:

Most of that information is negligable (not important) besides 8 ounces in 12 minutes.

so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get

40 ounces in 1 hour

a day is 24 hours, so if we multiply both sides by 24 well get our answer

960 ounces a day

-- Gage Millar, Algebra 1/2 tutor

Answer:

960 ounces

Step-by-step explanation:

First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:

8/12 = x/60

And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.

A square has an area of 146.41m2 work out the premeter of the square

Answers

Suppose that one of sides is x :

Area = x²

thus :

[tex]146.41 = {x}^{2} [/tex]

[tex]x = \sqrt{146.41} [/tex]

[tex]x = 12.1[/tex]

_____________________________________________

Perimeter = 4x

[tex]p = 4 \times 12.1[/tex]

[tex]p = 48.4[/tex]

The Perimeter of Square is 48.4 m.

What is Area and Perimeter of Square?

The Area of square is the product of the side.

Area of Square = side x side

and, The Perimeter of Square is 4 times the side of square

Perimeter of Square = 4 x side

Given:

Area of Square = 146.41 m²

Now, Area of Square = side x side

Area of Square  = side²

side² = 146.41 m²

side = √146.41 m²

side = 12.1 m

Now, the Perimeter of Square = 4 x side

                                                   = 4 x 12.1

                                                   = 48.4 m.

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Please help it’s so hard for me

Answers

Answer:

Answer is d

Step-by-step explanation:

i am stuck on this zearn lesson someone pls help

Answers

The answer is 2/1, I think. :)

Answer:

2 or 2/1

Step-by-step explanation:

For every cup of water there is 1 cup of water. As seen in the ration 6:12 (reduced to 1:2) and 1/2:1 (increased to the whole number of 1:2)

Will give brainliest!

Answers

Answer:

D. 5/4

Step-by-step explanation:

Reciprocal is flipping that number around

Triangle PQR has coordinates P (0, 0), Q (-4, 0), and R (0, 2). If ΔPQR ≅ ΔXYZ, what is the measure of XY?
A) 1 units
B) 2 units
C) 3 units
D) 4 units

Answers

Given that ΔPQR and ΔXYZ are congruent triangles, the measure of XY is: D) 4 units

Recall:

Congruent triangles have pairs of congruent angles and congruent sides.Distance between two vertices can be calculated using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Given ΔPQR ≅ ΔXYZ, therefore, PQ = XY.

Find the distance between P(0, 0) and Q(-4, 0) using[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]PQ = \sqrt{(-4 - 0)^2 + (0 - 0)^2}\\\\\mathbf{PQ = 4 $ units}[/tex]

Since ΔPQR ≅ ΔXYZ, therefore the measure of XY is: D) 4 units

Learn roe about congruent triangles on:

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Answer:

4 units

Step-by-step explanation:

HELP AWARDING BRAINLIEST

Answers

Answer:

Either 2.34 or 2.345

Step-by-step explanation:

What is the solution to 1/2 |x| = -3
Options:

x = -6

x = -6 or x = 6

x = -6 or x = 2

No solutions exist.

Answers

Answer:

No solution

Step-by-step explanation:

multiplying both sides by 2 gives |x|=-6 but an absolute value can't be negative so there are no solutions

see more at: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/a/intro-to-absolute-value

How do I find x in this problem, x/5-2/3=3/2

Answers

[tex] ⇒\frac{x}{5} - \frac{2}{3} = \frac{3}{2} \\ \frac{x}{5} = \frac{3}{2} + \frac{2}{3} \\ \frac{x}{5} = \frac{3 \times 3}{2 \times 3} + \frac{2 \times 2}{3 \times 2} \\ \frac{x}{3} = \frac{9 + 4}{6} \\ \frac{x}{3} = \frac{13}{6} \\ = \frac{13}{6} \times 3 \\ = \frac{13}{2} [/tex]

Answer:

x = 38/6

Step-by-step explanation:

x/5 - 2/3 = 3/2

3x - 2x5/3x2 = 3/2

3x-10/6 = 3/2

2(3x-10) = 3x6

6x-20 = 18

6x = 18+20

6x =38

x =38/6 or x = 6.33

i need help
[tex]\bf 3x-5=16[/tex]

Answers

Answer: x = 7

Step-by-step explanation:

do opposites to both sides. what is the opposite of -5? it would be plus 5.

add 5 to both sides

3x = 21

now what is the opposite of 3 times x? 3 divided by.

divide 3 to both sides

x = 7

Answer:

x = 7

Step-by-step explanation:

First add 5 on both sides to get 3x = 21, then divide 3 on both sides to get x = 7.

Hope this helps you :)

Hey can someone please help me in this question? ​

Answers

Answer:

£48

Step-by-step explanation:

Area of walls = area of four rectangular walls + area of two triangular shape at front and back

Area of a rectangular wall = l *w = 8 * 4 = 32 m²

Area of 4 rectangular walls = 4 *32 = 128 m²

Triangle:

Base = 6m

height = h = 7 - 4 = 3 m

Area of triangle = (1/2)*b*h

                          [tex]= \dfrac{1}{2}*6*3 = 3*3 = 9 \ m^{2}[/tex]

Area of 2 triangles = 2*9 = 18 m²

Area of four walls = 128 + 18 = 146 m²

Number of paint tins required = 146 ÷ 25 = 5.84 = 6

6 tins are required.

Cost of 6 tins = 8 * 6 = £48

At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour. Write an equation in slope-intercept form to represent the temperature y after x hours.

Answers

Answer:

Y=-4x+99

Step-by-step explanation:

Your y intercept is always the last number in the equation

The equation in slope-intercept form to represent the temperature y after x hour is Y=-4x+99

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The slope of the line is calculated as follows:

m = Δy/Δx

Given that At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour.

Therefore, the slope of the line is;

m = Δy/Δx

m = 4

The equation in slope-intercept form is;

Y=-4x+99

To know more about the Slope of the line here;

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A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of B. Calculate the bearing of D from B

ONLY ANSWER QUESTION B PLEASE
Giving lots of points
I will give brainlist
NO FRAUDS

Answers

Answer:

213.7°

Step-by-step explanation:

The bearing of B from D is angle ADB,  Thus, ∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°

-----------------------------------------------------------------------------------------------------------

Part A: 135

Part B: 213.7  

------------------------------------------------------------------------------------------------------------

[RevyBreeze]

MATE!

213.7°

The bearing of B from D is angle ADB,  Thus, ∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°

Part A: 135

Part B: 213.7  

.1.3 Jennie has $200 and she spends $30. What percent of her
money is spent?
zoo
A) 15%
B) 30%
30
C) 66%
D) 85%

Answers

Answer:

A

Step-by-step explanation:

To change a fraction to a percentage, multiply by 100%

[tex]\frac{30}{200}[/tex] × 100%

= 0.15 × 100%

= 15% → A

Its 30% because if you subtract 30 from 200 you get 170 and 66% and 15% are too big and small so 30% your welcome

I need help

Given f(x)=-x+6 write an equation for f(x-2)

Answers

Answer:

f(x - 2) = - x + 8

Step-by-step explanation:

Substitute x = x - 2 into f(x)

f(x - 2) = - (x - 2) + 6 = - x + 2 + 6 = - x + 8


If the side lengths are
doubled, then which of
the following
statements about its
perimeter will be true?
The new perimeter will be
times the old

Answers

Answer:

It would be 2 times the old perimeter.

Please help if you can! How many possible combinations of two number cubes, numbered 1 through 6, would add up to exactly 7?

Answers

Answer:

1. 1+6

2. 2+5

3. 3+4

4. 4+3

5. 5+2

6. 1+6

Step-by-step explanation:

which of the following sets of numbers could represent sides of a triangle?

Answers

Answer:

Hey mate...

Step-by-step explanation:

This is ur answer.....

The sum of the lengths of any two sides of a triangle must be greater than the third side. (a)(8,11,19)⇒8+11 not greater than 19 , (N.G.) (d)(13,4,8)⇒4+8<13 , (NG). Hence, option (b) is the only answer.

Hope it helps!

Brainliest pls!

Follow me! :)

phân tích đa thức thành nhân tử 8x^2+16xy

Answers

Answer: 8x^2+16xy= 8x(x+2y)

Slope is represented by the letter ____________ and the y-intercept is represented by the letter _______________ and is where the graph ________________________________

Answers

Answer:

Slope is represented by the letter M and the y-intercept is represented by the letter B and is where the graph intersects the y axis.

Step-by-step explanation:

y = mx+b, where y and x are variables and m is the slope and b is the y-intercept

Hope that helps

Please help, will mark brainliest!!! :D
btw, you can just answer in A B C D; A is upper left, B is upper right, C is lower left, D is lower right.
THANK YOUUUUUUUUUUUUU

Answers

Answer:

D because that the only that make sense

Step-by-step explanation:

please answer fast i need it

Answers

Answer:

AB = 2.625

Step-by-step explanation:

BC is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides , that is

[tex]\frac{CA}{CD}[/tex] = [tex]\frac{AB}{BD}[/tex] , that ia

[tex]\frac{6}{10}[/tex] = [tex]\frac{AB}{7-AB}[/tex] ( cross- multiply )

10 AB = 6(7 - AB) ← distribute

10 AB = 42 - 6 AB ( add 6 AB to both sides )

16 AB = 42 ( divide both sides by 16 )

AB = 2.625

HELPPP ASAP

A:60
B:75
C:10
D:30

Answers

Answer:

look at the photo...............

What is
2(3x + 4) = -28

Answers

Answer:

x= 10/3

or

x= 3.334

Depending on simplified form asked.

Step-by-step explanation:

6x +8 =28

subtract 8 from both sides

6x = 20

divide by 6

x=20 /6

x= 10/3 or x =3.334

if you like my answer, please mark me brainliest !! thanks !! <3

x = -6
2(3x + 4) =-28
divide both sides by 2
2(3x+4)/2 = -28/2
after dividing its 3x + 4 = -14
subtract 4 from both sides
3x + 4 - 4 = -14 - 4
after subtracting its 3x = -18
divide 3 from both sides
3x/3 = -18/3
x = -6
Hope it help

You’re loading bags of cement into a truck. You load bags weighting 175lbs, 154lbs, and 118lbs. What is the total weight you have loaded onto the truck?

Answers

Answer:

447 lbs

Step-by-step explanation:

175+154+118=447


AB - x^2 - 18, CD=3x, m

Answers

Answer:

13

Step-by-step explanation:

Jagdish dj dj dj dj dj hahaha

Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amounts of
time that she worked.

Answers

Constant rates are used to illustrate linear functions.

The average rate of change is $9.0 per hourThe function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]The amount earned in 7.5 hours is $67.5

(a) The average rate of change

This is calculated using:

[tex]\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}[/tex]

[tex]\mathbf{Rate = \frac{9}{1.0}}[/tex]

[tex]\mathbf{Rate = 9.0}[/tex]

Hence, the average rate of change is $9.0 per hour

(b) A function that models the table of values

Let x represent hours, and y represent the earnings.

So, we have:

[tex]\mathbf{y =m (x - x_1) + y_1}[/tex]

Where:

m =Rate = 9.0

So, we have:

[tex]\mathbf{y = 9(x - 2.5) + 22.5}[/tex]

Expand

[tex]\mathbf{y = 9x - 22.5 + 22.5}[/tex]

[tex]\mathbf{y = 9x }[/tex]

Represent as a function

[tex]\mathbf{f(x) = 9x }[/tex]

Hence, the function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]

(c) Amount earned for 7.5 hours

This means that x = 7.5

So, we have:

[tex]\mathbf{f(7.5) = 9 \times 7.5 }[/tex]

[tex]\mathbf{f(7.5) = 67.5}[/tex]

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

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y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither​

Answers

Answer:

perpendicular

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 3 ← is in slope- intercept form

with slope m = - 4

x - 4y =  8 ( subtract x from both sides )

- 4y = - x + 8 ( divide through by - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Since the slopes are not equal the lines are not parallel

- 4 × [tex]\frac{1}{4}[/tex] = - 1

Then the lines are perpendicular

Problem 2
A recipe for sparkling grape juice calls for 112 quarts of sparkling water and 34 quart of grape juice.
How much sparkling water would you need to mix with 9 quarts of grape juice? Response area of sparkling water.
How much grape juice would you need to mix with 154quarts of sparkling water? -- area of grape juice.
How much of each ingredient would you need to make 100 quarts of punch? ---- area of sparkling water and Response area of grape jui

Answers

Answer:

m

Step-by-step explanation:

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