What is the vertex of the graph of the quadratic function f(x) = x2 + 6x +10?

F (3,-1)

G(-3,-1)

H(-3,1)

J(3,1)

Answers

Answer 1

Answer:

(-3, 1)    (Answer H)

Step-by-step explanation:

f(x) = x^2 + 6x +10 can be rewritten by "completing the square" as

f(x) = (x + 3)^2 + 1, and by comparing this to y = (x - h)^2 + k, we see that h is -3, k is 1, so the vertex, (h, k), is at (-3, 1)    (Answer H)


Related Questions

The perimeter of a right triangle is 40 feet. and the area is 120 square feet. If the lengths of the sides of the triangle are each multiplied by 12, what is the perimeter of the new right triangle?

A) 8640
B) 5760
C) 720
D) 480

Answers

Answer:

D

Step-by-step explanation:

did it on Time4learning

(x2 + 12x + 14) = (x + 1).

Answers

Answer:

x=-1.34

Step-by-step explanation:

x=-1.34

Question 2 ONLY

Look at the triangles below. Choose True or False for each of the statements about them.

Answers

In triangle ABC angle c = 180-78-40 = 62 degrees

For the triangles to be congruent angle z must equal angle C

Solve for x:

2x + 8 = 62

Subtract 8 from both sides:

2x = 54

Divide both sides by 2:

X = 27

Now we k ow x has to equal 27 to be concurrent so we can answer the 3 questions.

A. False

B. True

C. True

hii frnds i m new in this app​

Answers

Answer:

Hello

Step-by-step explanation:

Nice to meet you. Welcome to Brainly where you can get points by answering different questions. You can also ask your own questions and it will be answered by thousands of Brainly users around the world. Enjoy!

Answer:

Welcome to Brainly. I hope you enjoy your stay.

The shadow of a vertical tower is 72.0-ft long when the angle of elevation of the
sun is 32.0°. Find the height of the tower.

Answers

38.15 ft is the height of the tower using tangent

Please help with this one too??

Answers

Answer:

21979

Step-by-step explanation:

21979 = 11(1997)+12

helpppppppppppppppppppppppppppp me

Answers

I believe it's the last one

sorry if it's not the right one

which of the following r-values represents the strongest correlation?

A.-0.61
B.-0.51
C.-0.81
D-0.71

Answers

The r-value that represents the strongest correlation is -0.81 (option C). Details about correlation coefficient can be found below.

What is correlation?

Correlation coefficient is any of the several measures indicating the strength and direction of a linear relationship between two random variables.

The correlation coefficient is denoted by r. A r-value can either be negative or positive depending on the direction of the relationship.

However, the closer a r-value is to 1, the stronger the relationship. This means that a r-value of -0.81 represents the strongest correlation.

Learn more about correlation coefficient at: https://brainly.com/question/27226153

#SPJ1

HELP ME! I'LL GIVE THE BRAINLIEST

Answers

Answer:

0.0824 (may be incorrect)

8 people from a group of 12

Answers

If you're meaning about subtracting:

12-8=4

If you want in fraction: 8/12

mark me brainliestt :))

8 is 2/3s of 12
2/3s is about 67%
67% of 12

Carlos has a nail in his car tire. The tire is not flat, but he's on his way to get it fixed. He's driving at a constant speed, and the diameter of the tire is 3 feet.

Which rule could model the height of the nail from the ground?

a) f(x)=1.5cos(16πx)+1.5
b) f(x)=1.5cos(16πx)−1.5
c) f(x)=3cos(16πx)+3
d) f(x)=16πcos(1.5x)+3

Answers

Answer:

f(x)=1.5cos(16πx)+1.5

(Question on a Quiz was correct)

The trigonometric equation is f ( x ) = 1.5cos ( 16πx ) + 1.5 , when x = 3 feet , the height of the nail from the ground is 3 feet

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as A

Now , the value of A is

f ( x ) = 1.5cos ( 16πx ) + 1.5

Let the diameter of the tire be x

Let the height of the nail from ground be f ( x )

On simplifying , we get

when x = 3 feet

f ( 3 ) = 1.5 cos ( 16π ( 3 ) ) + 1.5

f ( 3 ) = 1.5 cos ( 48π ) + 1.5

From the trigonometric relation cos ( nπ ) = 1

f ( 3 ) = 1.5 + 1.5 = 3 feet

Hence , the height of the nail from the ground is given by the equation with f ( x ) = 1.5cos ( 16πx ) + 1.5

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ3

what are the difference in finding the cirumference circle and finding the area of circle

Answers

Answer:

the circumference is the total distance round a circle but the are is a measure of a space or region inside the circle but circumference is around it

A survey showed that 70% of students would select roller coasters as their favorite ride at an amusement park. Out of 5,000 students, predict how many would select roller coasters as their favorite rid

Answers

Answer:

3500

Step-by-step explanation:

7/10x5000=3500 70% of 5000=3500

Answer:

3500

Step-by-step explanation:

0.70 x 5000 = 3500

0.70 is the percent in decimal

5000 is the amount of people

What’s the volume of the following shape?

Answers

Answer:

Step-by-step explanation:

It should be 360 Pls mark brainliest

Answer:

180 units^3

Step-by-step explanation:

Formula for the volume of a right triangular prism: V=1/3Ah (A=Area of base triangle, h=height)

BASE TRIANGLE

A= 1/2bh (base•height)

A= 1/2•10•4

A= 40 units^2

VOLUME OF PRISM

V=1/3Ah

V= 1/3•40•18

V= 180 units cubed

Hope this helps! Let me know if I'm off by anything.

What is 56 + 7 + 3y3 when y = 4?
A. 200
B. 156
C. 132
D. 44

Answers

Answer:

255   as written

200   if as intended

Step-by-step explanation:

As written

56 + 7 + 3y³

63 + 3(4³)

63 + 3(64)

63 + 192

255

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

If you intended

56 / 7 + 3y³

8 + 192

200

neeeeeed helppp!!
[tex]\sqrt{10^1^0}[/tex]
Thanks!

Answers

Answer:

100000 is your answer

Step-by-step explanation:

Hope it helps...

Thanks for the points

Answer:

100000

Step-by-step explanation:

[tex]\sqrt{10^{10} }[/tex]

[tex]10^5[/tex]

[tex]100000[/tex]

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

Thanks, have a great day!!

plz help urgent so easy will give brainliest mark for the first answer given!!

Answers

Answer:

Step-by-step explanation:

6). Equation of the line has been given as,

    4x + 9y = -9

    By converting this equation into y-intercept form,

    9y = -4x - 9

    [tex]y=-\frac{4}{9}x-\frac{9}{9}[/tex]

    [tex]y=-\frac{4}{9}x-1[/tex]

    By comparing this equation with y = mx + b

    Here, m = Slope of the line

    b = y-intercept

    Slope of the equation (m) = [tex]-\frac{4}{9}[/tex]

    y-intercept (b) = -1

8). Equation of the line is,

    5x + 3y = 12

    3y = -5x + 12

    [tex]y=-\frac{5}{3}x+\frac{12}{3}[/tex]

    [tex]y=-\frac{5}{3}x+4[/tex]

    Slope of the line = [tex]-\frac{5}{3}[/tex]

    y-intercept = 4

please please helppp!!

Answers

Answer:

Step-by-step explanation:

Here we want the side length of x, which is adjacent to the angle 31 degrees. Cosine is the ratio we want because it is adj/hypotenuse.

Here's our basic equation:

cos31=x/17

or

17 * cos31=x

Put this into the calculator and you get around 15.6

help pls, i cant figure it out

Answers

Answer:

280 square units

Step-by-step explanation:

Area of the rectangle:

  A = b* h = 16 * 15 = 240

Area of the triangle:

   A = bh/2 = (16*5)/2 = 40

Total area = area of triangle + area of rectangle = 240 + 40 = 280 square untis.

answer : 280 units pog

What is 2.712264 rounded to the nearest cent?
marking brainliest

Answers

Answer:2.7

Step-by-step explanation:trust me

Answer:

2.71-----------------

PLZ HELP I WILL GIVE BRAINIEST AND 15 POINTS!!! answer these 2 questions
Q1. A rectangular prism is a _____ figure.
1. 3-dimensional figure
2. 1-dimensional figure
3. 2-dimensional figure

Q2. If a figure has eight vertices and 12 edges, how many faces does it have?

Answers

Answer:

DELETE

Step-by-step explanation:

At noon, the temperature at a mountaintop research center is 11 degrees. Overnight the temperature drops to -19 degrees. Which expression represents how much the temperature changed? A. (191 B. |-191 C. |-301 D. |-381
if anyone wants to answer my last 2 questions I would really appreciate​

Answers

Answer: -30

Step-by-step explanation:

My answer is correct because, All you have to do is subtract all the numbers by 11 and the one that has the sum -19 is the correct choice. In this case -30 does and we can make sure were orrect by subtracting 11 by -19 and that equals -30.

#[tex]AnimePower[/tex]


If y varies inversely as the square ofx, and y = 1/8 when x = 1, find y when x = 5

Answers

Answer:

25/8

Step-by-step explanation:

The question can be interpreted as

Y= k/x^2.......eqn(1)

Where k= constant if proportionality

y = 1/8 when x = 1,

Substitute, we have

1/8= k/(1)^2

1/8= 1/k

Cross multiply

K= 1/8

find y when x = 5

From eqn(1)

Y= k/x^2

Y= (1/8)/(5)^2

Y=1/8 ×25

Y= 25/8

What does e-waste or electronic waste not include?

Answers

Answer:

microwave ovens

Step-by-step explanation:

Hopes this helps. Mark as brainlest plz!

An Aztec Salad gets 28 of its Calories from protein. If this is 20% of the total number of
Calories, how many Calories does the salad have? ASAP

Answers

Answer:

140 calories

Step-by-step explanation:

total number of Calories of the salad =

100/20 × 28 = 5×28 = 140

Let total calories=x

20% of x=280.2x=28x=28(5)x=140

What is the circumference of the circle when there's a radius of 5

Answers

its approximately 31.42 depending on how many digits of pi you use

Use the digits 2,3,and 4 one time each to correctly complete the following problem. __00 * __ __ = 6,800

Answers

Answer:

200*34=6800

Step-by-step explanation:

Write the possible combinations like

200*34

200*43

300*24

300*42

400*32

400*23

then you chose what will give you 6800 as the answer

(URGENT !!!) Which is a reasonable equation for the line of best fit for the data shown in the scatter plot? Using the equation, predict y if the value of x is 20.


F. y=x

G. y= x+2

H. y=2

J. y= 1/2x +2


(This is scatterplots)

Answers

Answer:

1. Y = 1/2x + 2

2. X = 20 - Y = 12

Step-by-step explanation:

1. The other formulas clearly don't fit.

2. Simply fill in 20 for X and solve the formula.

Simplify: 2³ + 8 – 16 ÷ 8 ⋅ 2

Answers

Answer:

12

Step-by-step explanation:

PEMDAS

FILLER FILLER FILLER

Answer:

15

Step-by-step explanation:

2x2x2=8

8x2=16

16/16=1

8+8=16

16-1=15

How many millagrams are in 17.9 grams?
HELP ASAP

Answers

Answer:

17,900 milligrams

Step-by-step explanation:

1 grams = 1000 milligrams

So, to find the milligrams in grams you have to multiply by 1000

17.9 × 1000 = 17,900

Have a great day!

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