Mathematics High School

A parabola has a vertex of (5,4) and goes through the point (6,-10)
Write the equation of the parabola in vertex form.

Answers

Answer 1
y = -2(x-5)^2 + 4

Note: vertex form is 0, f(x), y, or nothing= a(x-h)^2 + k
The opposite of the x value of the vertex is h
The y value value of the vertex is k.


Find a. Plug in (6,-10)

-10 = a(6-5)^2 + 4
-10 = 1a + 4
-10 = 5a
a = -2

Related Questions

A hawk takes flight from a mountain peak and flies 800 meters west. Then it takes a turn and flies 200 meters south. What is the distance and direction of the hawk from the mountain peak?

Answers

Answer:

the hawk has flow 824.62 meters southwest of the mountain peak.

Step-by-step explanation:

In order to find the distance we need to use the Pythagoras theorem

d^2 = 800^2 + 200^2

d= 824.6 m

we can find the direction by using the eq for a tangent

he opposite side is 200 m and the adjacent side is 800m

tan theta = opposite / adjacent

theta = arc tan (800/200)

The hawk is at a distance of 824.6m flying at an angle 76 degrees NE of the mountain peak.

The final location will be southwest of the mountain peek.

a2+b2=c2

a = 200

b= 800

c = √(2002+8002) = 824.62

So the hawk has flow 824.62 meters southwest of the mountain peak.

What is the circumference of a circle with a diameter of 2 feet? Use 3.14 for
T.

Answers

Answer:

your answer will be option A. 6.28

Step-by-step explanation:

C=3.14 x 2

C=6.28

hope it helps

Find the rate of change between the following points:

1. (-4, 2) and (0, 5)

2. (1, 0) and (8, 6)

3. (-5, 12) and (-1, 2)


If your answer ends as a fraction, leave it as a fraction. No decimals.

Please help!

Answers

this the 2 one i hope it's right

Identify the y-intercept of y=4x - 2/3

Answers

The y-intercept of the equation y = 4x - 2/3 is 2/3.

Answer:

y- intercept = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = 4x - [tex]\frac{2}{3}[/tex] ← is in slope- intercept form

with y- intercept c = - [tex]\frac{2}{3}[/tex]

WILL GIVE BRAINLIEST! NEED FAST!
A clinical trial on a new weight loss pill was conducted on 1000 people who weighed between 200 and 210 pounds. If 650 people lost more than 15 pounds in 1 year, which equation can be used as a first step to determine the percent of people in the clinical trial who lost more than 15 pounds in one year?

Answers

Answer:

650=65% of 1000

Step-by-step explanation:

650-600=65 or 65%

The height of a triangle is 6 inches. The area of the triangle is 45 square inches. What is the length of the triangle’s base?

Answers

Answer:

15 in

Step-by-step explanation:

(basexheight)/2=area

basex6=45x2

base=45/3

base=15

Answer:

15

Step-by-step explanation:

A if Triangle= 0.5×(b×h)

0.5×(b×6)=45

b×6=45÷0.5

b×6=90

b=90/6=15

Cuanto es 120% en fraccion

Answers

The answer is 6/5 (six over five) 100 divided by 20

Please help me with this just type in the answers that apply

Answers

Answer:

All answers could be B, C and D

Step-by-step explanation:

According to the triangle inequality theorem, the combined length of two sides of a triangle cannot exceed the length of the third side. so:

13+8=21

Which means the sides that are less are A, B, C and D

Now A is smaller terms, if we try to use this to apply to a different way:

8+5=13

13=13

This means that the combined terms are NOT as small as the third side, and therefore this length cannot work. Therefore, the only ones left are lengths B, C and D

Can someone plz help me.?

Answers

The Answer Is = 164.6

What is this series written in sigma notation?

2.5 + 2.5(1.2) + 2.5(1.2)2 + ⋯ + 2.5(1.2)87

Answers

Answer:

The answer is D

Step-by-step explanation:

Believe me, dawg!

The series is (d)

What is series?

A series is the cumulative sum of a given sequence of terms.

Given:

2.5 + 2.5(1.2) + 2.5(1.2)2 + ⋯ + 2.5(1.2)87

If we look at the power it is always one less the term i.e., for first term the value of k=0.

So, the series in the form of summation can be written as

[tex]^{88}\sum_{k=1}[/tex] 2.5 (1.2)^(k-1)

Learn more about series here:

https://brainly.com/question/12707471

#SPJ2

Can someone please help me you don’t have to do all of it but help thanks

Answers

12,13 17 18 19 20 21 22 25 28 30 35

Can someone help me with this? It’s dues tomorrow this is for science but there’s no science

Answers

Answer:

Sorry, I can't see what your question is.

Step-by-step explanation:

Help with this quistion

Answers

Answer:

b

Step-by-step explanation:

What is the measure of angle B in the triangle?

Answers

Answer:

The measure of angle B in the triangle is 22

Step-by-step explanation:

have a nice day !!

Answer:

m∠B= 22°

Step-by-step explanation:

∴ ∠A+∠B+∠C= 180

→ [tex]120+x+(x+16)=180[/tex]

→ [tex]x+x+16=180-120[/tex]

→ [tex]2x=60-16[/tex]

→ [tex]2x=44[/tex]   ⇒ [tex]\frac{44}{2} =22[/tex]

So, m∠x°=22°

[tex]------------[/tex]

hope it helps...

have a great day!!

help pleaseee
will name the brainliest

Answers

2m^4

So basically choose B. You basically had to find the prime factors of each term in order to find the GCF

Answer:

2m^4

Step-by-step explanation:

What is the function graphed below?
O y= x + 0.5
O y= 2 x + 0.5
O y=x
O y=(0.5)

Answers

Answer:

A.  y= x + 0.5

Step-by-step explanation:

We see that:

y- intercept is b = 0.5, point (0, 0.5) Rate of change is m = 1 as each next value of y is greater by 1.

The function is:

y = mx + by = x + 0.5

Correct choice is A

HELP ASAP PLEASE


Find the slope of the line represented by the table below
x 0 4 8
y 20 15 10

Answers

Answer:

divie by 10 and your anser is 100

Step-by-step explanation:

PLEASSEE HELPPPP HURRRY FIND THE SURFACE AREA HURRRYY

Answers

Answer:

The answer is 48.9 cm^2.

Step-by-step explanation:

Let's find the surface areas of the faces other than the base;

triangle area: b x h / 2

4 x 7 = 28, 28/2 = 14

in this case, there are three faces, so 14 x 3 = 42, and we add that with the base to get 48.9

:) hope this helps!

Answer:

yes

Step-by-step explanation:

Multiply.
(3x + 2)(3x - 2)
A. 9x2 + 12x - 4
B. 9x2 - 4
C. 9x2 - 12x - 4
D. 9x2 + 4


Answers

option B

tell me if u need step by step :)

What single percentage change is equivalent to a 15% decrease followed by a 16% decrease?

Answers

Decrease of 28.6%.

Step-by-step explanation:

The multiplier for a increase of a% is 1 + a/100.

The multiplier for a decrease of b% is 1 - b/100.

Decrease of 15%

1- 15/100 = 1- 0.15 = 0.85

Decrease of 16%

1- 16/100 = 1 - 0.16 = 0.84

Both:

0.85*0.84 = 0.714

Change:

The initial percentage is 100% = 1.

0.714 - 1 = -0.286

Negative, so a decrease

The answer is a decrease of 28.6%.

Question is in the picture

Answers

Reflection over the y-axis, translation 2 units down

Answer:

The answer is option B, reflected over the y-axis and translated 2 units down.


Regular Sire (12 ounces)
Cont: $3.19
Family Sire (18 ounces)
Cost: $4.69 What is the unit rate (per ounce) for regular size box of either cereal round to the nearest hundredths place value

Answers

0.27 per ounce for regular
And
0.26 per ounce for family

is this a function?......​

Answers

Answer:

yes it is a polynomial function

Yes it is function.....no problem

HELP ME PLEASE!!!!!!

Answers

the answer is d (the last one) 1/6.

i hope this helps.

Answer:

C

Step-by-step explanation:

Because their's 3 with 2 shaded in

A factory makes rods by cutting plastic pipes that are 5 feet long into 13 rods. How long is each rod? I NEED IT NOWW

Answers

Answer:

0.3846 feets

Step-by-step explanation:

Given that :

Full length of rod = 5 feets

Number of equal length rod cut from full length rod = 13

Length of each rod cut :

Full length of rod / number of equal length rod cut

5 feets / 13

= 0.3846 feets

please help I don’t know 4 and you may have to look very closely

Answers

It is -3, -3
Have a good day

Elephants can walk 5 kilometers in an hour. If a herd of elephants walks for 8 hours, how far will they have gone?

Answers

Answer:

They will have walked 40 kilometers.

Step-by-step explanation:

5 kilometers every hour for 8 hours = 5x8=40

or

Hour                Kilometers walked

  1                             5

  2                            10

  3                            15

  4                            20

  5                            25

  6                            30

  7                            35

  8                            40

Write the equation of a line
containing the point (-4, 1) and a
slope of -2 in Point-Intercept Form.

Answers

Answer:

0

Step-by-step explanation:

The answer is 0 I think

Hope it help

Which does the flow chart represent

Answers

Answer:

Step-by-step explanation:

i do not know


10 ponits


y=4×5+2

solve the equation for y

explain how ​

Answers

22. first you multiply because of PEMDAS which is 4 times 5 equals 20 then plus 2 which is 22 and that’s how you get y.

Answer:

y=22

Step-by-step explanation:

y=20+2

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