Rewrite y = x2 +6x+ 10 in graphing (vertex) form by completing the square. State the VERTEX.

Answers

Answer 1

Answer:

The vertex of the graph is (-3,1)

Step-by-step explanation:

Here, we want to rewrite the given quadratic equation in the vertex form

We have the vertex form as;

y = a(x-h)^2 + k

where the vertex is (h,k)

Now, by completing the square, we have to divide the coefficient of x by 2, then square; after which we add to both sides; prior to this, we have to replace y by 0

Thus, we have it as follows;

x^2 + 6x + 10 = 0

x^2 + 6x + 10 + 3^2 = 3^2

x^2 + 6x + 19 = 9

x^2 + 6x + 9 = 9-10

(x + 3)^2 = -1

(x + 3)^2 + 1 = 0

So we have the vertex as ;

(h,k) = (-3,1)


Related Questions

can someone explain the answer ?

Answers

Answer:

x = 9.5

Step-by-step explanation:

Since you are given the adjacent side and need to find the hypotenuse then you need to use cos = adj/hyp so cos (47) = 6.5/x

So x = 6.5/.682, since cos 47 = .6819983601

x = 9.5

if a cricket makes 36 chirps in a minute, how many chirps can it make in 15 seconds?

Answers

Answer:

9

Step-by-step explanation:

36 chirp / 60 seconds

60 / 15 = 4

36 / 4 = 9

Consider the three isosceles triangles.
a. Find the value of x for each triangle
The value of x for the green triangle is ___°
The value of x for the purple triangle is ___°
The value of x for the red is ___°​

Answers

The value of x for the green triangle is 65 degrees
The value of x for the purple triangle is 25 degrees
The value for x on the red triangle is 45 degrees

write an equivalent expression for each of the following by combining like terms
3a+4(5a - 4)=

5b -2(5a -b) + 10a

Answers

Answer:

17a - 16

7b

Step-by-step explanation:

Given the following expressions

3a+4(5a - 4)=

Expand

3a + 4(5a)- 4(4)

= 3a + 20a - 16

= 17a - 16

For the expression

5b -2(5a -b) + 10a

Expand

5b - 2(5a)-2(-b) + 10a

5b - 10a  + 2b + 10a

= 5b + 2b -10a + 10a

= 7b + 0

= 7b

find the value of X

Answers

Answer:

x= 50

Incredibly odd diagram, but interior polygon angles of 4 sides must be 360 in total. 180-130=50.


Caleb took 24 photos at the zoo. 3/8 of his photos are of giraffes. How many of his photos are
of giraffes?



Answers

Answer:

9

Step-by-step explanation:

divide 24 by 8 and multiply what you got by 3

24/8=3

3*3=9

Answer:

9

Step-by-step explanation:

[tex] \frac{3}{8} \times \frac{24}{1} [/tex]

[tex] \frac{3 \times 24}{8 \times 1} [/tex]

[tex] \frac{72}{8} [/tex]

[tex]72 \div 8[/tex]

[tex] = 9[/tex]

Please answer quick
Please Please Please Please

Answers

Answer:

the answer is 3!!!!!!!!!!

The answer is 3 because 1/6 of 18
Then you will cancel the common factor of 6

graph and step by step explanation
3w - 10>-4

Answers

Answer:

If your trying to find w then it'll be 2

Step-by-step explanation:

3w - 10 > -4

      +10    +10

3w > 6

3       3

w > 2

So I added 10 on both sides and guess positive 10 is bigger than -4, it'll be a positive 6. Then I divide 3 on both sides after I got 6 and thats how I got 2

11x - 2x + 15 = 8 + 7 + 9x
Help please

Answers

Answer:

15 it's in the equation

Step-by-step explanation:

11x-2x=9x  9x-9x=0

7+8=15

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

Let's solve your equation step-by-step.

11x − 2x + 15 = 8 + 7 + 9x

Step 1:

Simplify both sides of the equation.

11x − 2x + 15 = 8 + 7 + 9x

11x + −2x + 15 = 8 + 7 + 9x

( 11x + −2x ) + ( 15 ) = ( 9x ) + ( 8 + 7 )

( Combine Like Terms )

9x + 15 = 9x + 15

9x + 15 = 9x + 15

Step 2:

Subtract 9x from both sides.

9x + 15 − 9x = 9x + 15 − 9x

15 = 15

Step 3:

Subtract 15 from both sides.

15 − 15 = 15 − 15

0 = 0

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What is the difference in area between a circle with a diameter of 3 meters and a square with a side length of 3 meters? Use 3.14 for pie.

pls help me​

Answers

Answer:

The area of a circle with a diameter of 3 meters:

A = πr² = π(d/2)² = 3.14(3/2)² = 7.065 m²

The area of a square with a side length of 3 meters:

A = a² = 3² = 9 m²

The difference:

9 - 7.065 = 1.935 m²

The square has greater area by 1.935 m²

Answer:

the difference in area between a circle with a diameter of 3 meters and a square with a side length of 3 meters=d²-π/4d²

=3²-3.14/4×3²=1.935m²

I need help with my hw ​

Answers

Answer:

x = 13, angle = 37

Step-by-step explanation:

The full angle will be a right angle, so 90 degrees.

You are given 53, on one side, so you just need to find the other bit.

Here, you can do 90 - 53 and get 37, which has to be equal to your unknown angle.

2x + 11 = 37

2x = 26

x = 13

Answer:

x=13

Step-by-step explanation:

we know that the 2 angles add up to a 90° right angle

53+ (2x+11) = 90

solving that, we're left with 2x= 26

26÷ 2= 13=x

hope this helps!

i need help this is due tomorrow

Answers

Answer:

[tex]r=\frac{41}{14}[/tex]

Step-by-step explanation:

[tex]\frac{3r-2}{5} =\frac{5+2r}{8} \\\\8(3r-2)=5(5+2r)\\24r-16=25+10r\\24r-10r=25+16\\14r=41\\\\r=\frac{41}{14}[/tex]

16. If Owen's house is point A (11, 3) and David's house is point B (15, 13),
how far away from eachother do they live?

Answers

Answer:

about 16.248 units

Step-by-step explanation:

Using the distance formula, and rounding to the nearest thousandth, we get 16.248

lemme just vent real quick. i do flvs. im almost a straight A student. for the most part. i've litterly been doing this flvs math exam all day. 2 parts btw. i flunked the first one, and i got a 50. im just dying too see what i get now. ive already asked like 3 questions on here, but they havent been answered. feel free to go look at them. if you've read this far, go get some points. :D thanks for reading.

Answers

Answer:

I'll go help, i need to answer at least 25 questions in 48 hours anyways too

Answer:

ok. i will try to answer them my best

Step-by-step explanation:

thank you for free points though. may god bless you

What is the rate of function?

Answers

Answer:

3

Step-by-step explanation:

The rate of change (the y values) is going up 3, for every one it goes across.

Please answer. Thank you.

Answers

Answer:

G.

Step-by-step explanation:

Graph shows constant change between the weight and the cost.

3/2.25 is 1.33333333

4/3 is 1.3333333

5/3.75 is 1.3333333 as well.

Others are not constant.

A composite figure has three congruent triangles removed from it.
8 ft
8 ft
16 ft
16 ft

Answers

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Evaluate each function.
g(x) = 3x + 4; Find g(-4)
A) 10
B) -2
C) -17
D) -8

Answers

Answer:

-8

Step-by-step explanation:

so g(x) = 3x+4

to find g( -4) , it simply mean that to replace the x in the function g by the value given which is -4

so when u replaced it give you

g(-4) = 3(-4) +4

= -12 +4

= -8

The correct answer is D which is -8.

-9. b = 45 pls help

Answers

b = -5

Step-by-step explanation:

Help me please!!!!!!!!!

Answers

Answer:

The midpoint of BC is -7

Step-by-step explanation:

PLEASE HELP FAST!!
One method that meteorologists could use to find the height of a layer of clouds about the ground is to shine a bright spotlight directly up onto the cloud layer and measure the angle of elevation from a known distance away. Find the height of the cloud layer in the diagram to the nearest tenth

Answers

Answer:

367.6 m

Step-by-step explanation:

Use trigonometry

Let the height of the cloud be x, then we have:

tan 35° = x/525x = 525 tan 35°x = 367.6 (rounded)

The height of the cloud layer is 367.6 m

Solve the equation g + 12 = 8. *

Answers

Answer:

t=c

Step-by-step explanation:

ty = xyzn

Answer: -4

Why? You want to get g alone so you subtract 12 from 8 and get -4

a) Write 6.04 x 10 as an ordinary number
b) Write 2400 000 in standard form
c) Write 0.00147 in standard form

Answers

Answer:

a) 60.4

b)2.4×10^6

c)1.47×10^-3

Step-by-step explanation:

here is the answer

if the denominar is 25 what is the numrater

Answers

Answer:

The answer is 12

Step-by-step explanation: Hope you got it

Find the equation of the parabola in the graph. The vertex is at (0,0) x^2=-8/3 y^2=-64 y^2 = -8/3x y^2= 8/3x

Answers

Y2 = (4,5) I HOLE IT HELPED YOU

What is the scale factor from figure B to A?

Answers

Answer:

19/57=15/45=11/33

1/3=1/3=1/3

1:3

(a) Jimmy and Sam were building a sand castle. They decided to make it into a cone shape. After some time, the diameter of the sand shaped cone was 12 in and the height was 7in. What is the exact volume of the sand cone?

SHOW ALL WORK AND EXPLAIN

Answers

Answer:

Volume = 1 πr2h3= 1×π×122×73= 336π= 1055.5751316062 inches3

Ayuda es un examen determinado raíz cuadrada entera de cada número y el residuo en cada caso º60 º86 º96 Raíz:_residuo:_ raíz:__residuo__ raíz__residuo

Answers

Answer:

Los pasos para calcular la raíz cuadrada entera y su residuo o resta se dará en la explicación;

Step-by-step explanation:

-60: Para saber exactamente cuál es su raíz cuadrada entera debemos buscar entre que cuadrados perfectos se encuentra comprendida este valor;

Tenemos que 7x7=49  y 8x8 = 64 (60 está comprendido entre  7 y 8) ,pero como la raíz de 49 se aproxima más a 60 entonces la raíz de 60 es 7 y su residuo o resta será el valor que falta para llegar a 60; así que tenemos:

[tex]\sqrt{60}[/tex]=7  ; residuo:  60-49 =11

-86:    9x9 =81 ;81 se aproxima más a 86 ,entonces la raíz cuadrada entera de 86 es 9 y su residuo es 5:

[tex]\sqrt{86}[/tex]=9;  residuo : 86-81= 5

-96:   9x9=81 ;  81 por tanteo se aproxima más a 91,entonces la raíz cuadrada  entera de 96 es 9 y su residuo es 15.

[tex]\sqrt{96[/tex]= 9x9 =81 ; residuo :  96-81= 15.

If Emilie and Jessie can skateboard 4 miles in 20 minutes. How far can they go in 60 minutes?

Answers

Answer:

12 miles

Step-by-step explanation:

Answer:

12 miles

Step-by-step explanation:

20 * 3 = 60 minutes

4 * 3 = 12 miles

Hope this is helpful:)

There is a bag filled with 5 blue, 6 red and 2 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 blue?​

Answers

Answer:

something over 169

Step-by-step explanation:

im sorry that's all I know because there are 13 marbles and you can't simplify it so

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