Given the vertex and another point, write the equation in vertex form: vertex (2, -5) point (3, -2)

Answers

Answer 1

Answer:

y = 3(x - 2)² - 5

Step-by-step explanation:

Let the equation of the parabola is,

y = a(x - h)² + k

Here, (h, k) is the vertex of the given parabola.

Since, vertex of the parabola is (2, -5)

Equation of the parabola will be,

y = a(x - 2)²- 5

Since, parabola passes through a point (3, -2),

-2 = a(3 - 2)²- 5

-2 + 5 = a(1)

a = 3

Therefore, equation of the parabola will be,

y = 3(x - 2)²- 5


Related Questions

(3+7i)+(-5+2i)-(-7+6i)

Answers

i believe that the answer to your question is 5 + 3 i?

If one guppy requires 5L of water to live happily, what is the maximum number of gubbies that should be kept in his aquafrium

Answers

What is the Aquarium size????? If it’s 5L it should be only 1 guppie

sovle????
10x + 15 =

Answers

Answer:

x=3

Step-by-step explanation:

10x - 15 = 15

10x = 15 + 15

10x = 30 (divide both sides by 10 to get x)

10x/10 = 30/10

x = 3

10x + 15 =?
Solution:
-Group like terms on one side of the equal sign and once they cross the equal sign,the polarity changes
10x= - 15
- divide both sides by the number that x is carrying
10x/10 = -15/10
X= - 1.5

Identify the inverse operation:r/4

Answers

Answer:

The inverse of this expression is the multiplication of 4. Answer: 4r, or 4 times r

Step-by-step explanation:

So first off, multiplication is the inverse of division, therefore, dividing r by 4 is the inverse of multiplying r by 4, so the answer is 4r.

Toby had a package of markers.

​After he used 4 of the markers, there ​were 10 markers left in the package.

​Which equation can be used to ​find the number of markers that were in the package before Toby used ​the markers?

Answers

10x+4x=14. .............

Martha ran 310 meters during P. E. class today. How many centimeters did Martha run?

Answers

Answer:

31000

Step-by-step explanation:

hope this helps :)

Answer:

31000

Step-by-step explanation:

Help plz!!!!!!! Help plzzzz!!!!!!

Answers

-2 = 0.12
-1 = 0.6
0 = 3
1 = 15
2 = 75

Convert the fraction into a percentage.
3 = %
(Enter number as a whole number without the percentage sign.)
Pls help me

Answers

Answer:

75%

Step-by-step explanation:

3 is 75 the way to 4 so it would be 75%

kyle starts with $15.00 and saves 3.50each day. which expression reprensets the total amount kyle saves?

Answers

3.5x+15

Step-by-step explanation:

Does anyone know? Thank you!

Answers

4/3 and 6/5 set me as brainlyest plz

Answer:

4/3

if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25

What is the missing value in the table below?

Answers

Answer:

11

Step-by-step explanation:

Will give brainiest for correct answer, but i am really behind in work right now

Answers

Answer:

here the ans

hope it is helpful to u.. mrk it as brainliest if is helps u

Answer:

so you can mark the other guy brainliest, he deserves it :)

Step-by-step explanation:

Complete the table.
f(y) = 4y2 - 4v
f(v
-4
-3
-2
-1

Answers

Answer:

f(y) = 4y2 - 4v

f(y) = 4y² - 4(-4) = 4y² + 16

f(y) = 4y² - 4(-3) = 4y² + 12

f(y) = 4y² - 4(-2) =4y² + 8

f(y) = 4y² - 4(-1) = 4y² + 4

Step-by-step explanation:

HELP QUICK PLEASE I BEG Grace invested $14985 in an account paying an interest rate of 9% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 3 years? (Do not use commas in your
answer)
PLEASE HELP QUICK

Answers

19030.95
i think
take the og number times the percent then that times three and add it to the original number (sorry if that’s not right that’s just how i would do it)

50 points!

-]Kala’s fish tank has 16 liters of water in it. She plans to add 4 liters per minute until the tank has more than 36 liters. What are the possible numbers of minutes Kala could add water?
-]Use t for the number of minutes.
-]Write your answer as an inequality solved for t.

Answers

Answer:

I will ask a freind if they know

Step-by-step explanation:

Answer:

t > 5

Step-by-step explanation:

Time : liters

[tex]\left[\begin{array}{ccc}0&16\\1&20\\2&24\\3&28\\4&32\\5&36\\6&40\end{array}\right][/tex]

We can see using the table that at 5 minutes, there would be 36 liters of water in the tank. Since Kala is going to keep filling the tank until there is more than 36 liters, the inequality would be t > 5.

Find the area of the trapezoid. ​

Answers

Answer:

A 303.66

Step-by-step explanation:

b1+b2÷2×h is the formula.

So step by step.

29.2+19=48.2

48.2÷2=24.1

24.1×12.6=303.66

The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.

It is required to find the area of a trapezoid.

What is a trapezoid?

It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.

We know the formula for the area of a trapezoid:

[tex]\rm Area = \frac{a+b}{2} \times h[/tex]   Where 'a' is the long base, 'b' is the short base and 'h' is the height.

We have a = 29.2 in

               b = 19 in

               h = 12.6

By putting these values in the formula, we get:

[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]

Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

Learn more about the trapezoid here:

https://brainly.com/question/4758162

How do snakes get their energy in this food web? A) By consuming toads and mice B) By consuming deer and raccoons C) By consuming grass and deer D) None of the above

Answers

D none of the above

Please help! The question and answer choices are attached.

Answers

The answer is B The function shown on the graph has a smaller rate of change but a higher starting point

Michael needs at least $200 to buy airpods. He already has $50. If he saves $15 each week, how many weeks will it take for Michael to reach his goal? Write and solve an inequality.

Answers

Answer:

it will take him 3 weeks to reach is goal.

Step-by-step explanation:

if michael needs $200 and he already has 50 then 200-50 is 150. then you divide 150 divided by 15 to get 3

hopethis helped.

Instant Meals sent out free samples to introduce its new product, Sesame soup. Each sample weighs 69 g. The post office charges thirty-six cents for every 23 g of weight. How much would Instant Meals spend on postage to mail out one hundred eighty-eight samples?

Answers

Answer:

$203.04

Step-by-step explanation:

The computation is shown below:

23 ounces to be $0.36

And,

69 ounces be  x

So here x

= (69 ounces × $0.36) ÷ 23 ounces

= $1.08

Since there is 188 samples, so the total value is  

= $1.08 × 188

= $203.04

If the area of a triangle with a base measuring 22 feet is 93.5 square feet, find its height.

Answers

Answer:

height = 8.5 feet

Step-by-step explanation:

Area of a triangle formula:

a=1/2bh

substitute what's given

93.5 = (1/2)22h

93.5=11h

divide both sides by 11 to isolate h

h=8.5 ft

if x= 0, 2,-2 find the value of x3-1 help plz ​

Answers

when x =0

[tex]0 {}^{3} - 1 = 0 - 1 = - 1[/tex]

When x =2

[tex]2 {}^{3} - 1 = 8 - 1 = 7[/tex]

when x =-2

[tex]( - 2) {}^{3} - 1 = - 8 - 1 = - 9[/tex]

standard form 2.975 x 10-7-

Answers

22.75 I have no explanation I just used a calculator :)

Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector’s house to bike home. He can bike the 8 miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch up. He can ride to Darnell’s house in 24 minutes. Assuming they bike the same path, write the liner equation that represents darnells constant speed

Answers

9514 1404 393

Answer:

  s = (8 mi)/(24 min/(60 min/h))

Step-by-step explanation:

Let s represent Darnell's constant speed. We know that speed, distance, and time have the relationship ...

  speed = distance/time

Darnell's speed in miles per hour is ...

  s = (8 mi)/(24 min/(60 min/h)) . . . . equation representing Darnell's speed

_____

This simplifies to ...

  s = 20 mi/h

Find the area of the polygon.

Answers

Answer: use formulas for area of square/triangle

Step-by-step explanation:

1st one is a rhombus so use A= BH

which is 5x4 = 20

2nd one is a kite

i assume you have not learnt the formula for kites so u can use triangles (A=1/2BH)

triangle CBA: 1/2 x (6+6)(2) = 12

triangle ACD: 1/2 x (6+6)(10)= 60

area = 12 + 60 = 72

green/first polygon:

Four equal triangles inside a polygon, so we have to find an area of one triangle and multiply that area with four since there are four triangles in total.

base is 5, height is 4. area of triangle formula: A = (bh) / 2 = (5x4) / 2 = 20 / 2 = 1010 x 4 = 40 (b/c there are four equal triangles)40 square units is the area of green/second polygon

________________________________________________________

teal/second polygon:

Two equal triangles and another two (different) equal triangles, so we have to find an area of a smaller triangle and multiply that area with two since there are two equal smaller triangles.

Then we have to find an area of a larger triangle and multiply that area with two since there are two larger equal triangles.

(smaller triangle)base is 6, height is 2. area of triangle formula: A = (bh) / 2 = (6x2) / 2 = 12 / 2 = 66 x 2 = 12 (b/c there are two equal smaller triangles)12  square units of the area of two equal smaller triangles (so we're not done yet!)

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

(larger triangle)base is 10, height is 6. area of triangle formula: A = (bh) / 2 = (10x6) / 2 = 60 / 2 = 3030 x 2 = 60 (b/c there are two equal larger triangles)60 square units of the area of two equal larger triangles

12 + 60 = 72

72 square units is the area of teal/second polygon.

round to nearest hundredth :3,353

Answers

Answer:

3,000

Step-by-step explanation:

Since the next number is less than 5 you round down

=



Teresa works mowing lawns and babysitting. She earns $8.60 an hour for mowing and $8.10 an hour for babysitting. How much will she earn for 7 hours of
mowing and 1 hour of babysitting?

Answers

Answer: 68.3

Step-by-step explanation: 8.60x7+8.10=68.3

what two number multiply to make -36 as well as add to make 16

Answers

-12 x 3 = -36

-6 x 6 = 36

-8 x 2 = -16

-4 x 4 = -16

What is an equation of a circle whose center is (1,4) and diameter is 10?

Question options:

x2 − 2x + y2 − 8y = 83


x2 − 2x + y2 − 8y = 8


x2 + 2x + y2 + 8y = 8


x2 + 2x + y2 + 8y = 83

Answers

Answer:

[tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]

Step-by-step explanation:

Standard form for a circle is:

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]      (h, k) is the center    r is the radius

[tex](x - 1)^{2} + (y - 4)^{2} = 5^{2} \\x^{2} - 2x + 1 +y^{2} - 8y + 16 = 25\\x^{2} - 2x + y^{2} - 8y = 8[/tex][tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]

En el transcurso del 2015 – 2018 visitaron alrededor de 8700 turistas la playa, de los cuales el 35,10% fueron Extranjeros y el 64,9% fueron nacionales. ¿Cuántos turistas fueron extranjeros y cuantos nacionales?

Answers

Answer:

Los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.

Step-by-step explanation:

De acuerdo a la información proporcionada, debes calcular el 35,10% del total de turistas para determinar el número de turistas extranjeros y el 64,9% del total de turistas para encontrar el número de turistas nacionales:

8700*35,10%=3054

8700*64,9%=5646

De acuerdo a esto, la respuesta es que los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.

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