Put Y=x^2+10x+18 in vertex form

Answers

Answer 1

Answer:(-5,-7)

Step-by-step explanation:

Rewrite in Vertex form and use this form to find the vertex (h,k)

Answer 2

Answer:

y = (x + 5)² - 7

Step-by-step explanation:

Given

y = x² + 10x + 18

To obtain vertex form use the method of completing the square

add/ subtract ( half the coefficient of the x- term )² to x² + 10x

y = x² + 2(5)x + 25 - 25 + 18

  = (x + 5)² - 7 ← in vertex form


Related Questions

Please help, Im really struggling
The officers of the local high school’s Parent Teacher Association (PTA) are planning a dinner. At the dinner, the PTA will present the Teacher-of-the-Year award to a teacher in the school. Which population should the officers survey to identify the teacher who should get this award?

A. All of the members of the PTA.
B. All of the students in the school.
C. All of the teachers in the school.
D. All of the parents of the students in the school.

Answers

A. All of the members of the PTA.

Answer:

Sorry i'm late

It's B: All of the students in the school

Step-by-step explanation:

Did the quiz

Barry drew a scale drawing of an office building. The scale of the drawing was 3
inches = 2 feet. A desk is 6 feet long in real life. How long is the desk in the
drawing?

Answers

Answer:

3inches=2feet and

Xinches=6feet so Cross multiply

2X=18 divided both sides by 2

X=9inches therefore

the answer is 9inches

HBHBVHBHEBCB PLEASE HELP WHAT IS :

x/6= -2

Answers

I think x = -12 , if that’s what the questions asking

Find the coordinates of the intersection of the diagonals of DEFG with the vertices D(-2, -3), E(0, 4), F(-4, 3), and G(-6, -4)

Answers

Answer:

(-3,0)

Step-by-step explanation:

midpoint DF = (-6/2,0) or (-3,0)

midpoint EG = (-6/2,0) or (-3,0)

helppppppppp plss (q+ (-5)/(3)=8

Answers

Answer:

(q-5)/3=8

q-5=24

q=24+5=29

Answer:

Step-by-step explanation:

(q+(-5)/3)=8

q-5/3=8

q-5=8*3

q-5=24

q=24-5

q=19

Question on image. (6)

will report answers out of question. Thank you

Answers

Answer:

the answer is 6 i think

Step-by-step explanation:

Answer:

XW=5

Step-by-step explanation:

WY is congruent with ZW, so WY=12

XY is the radius, so XY=13

Since this is a right triangle, you use Pythagorean therom to solve for XW.

a²+b²=c²12²+x²=13²144+ x²=169x²=25x=5XW=5


what is the slope of the line parallel to 9/10x +4y =70

Answers

Answer:

y=−9/40x+3/52

Using the slope-intercept form, the slope is −9/40.

the slope: m=−9/40

Step-by-step explanation:

please help a girl out

Answers

Answer:

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

Step-by-step explanation:

2r² + 7r - 1 = 3r²

2r² + 7r - 1 - 3r² = 0

- r² + 7r - 1 = 0

- (r² - 7r + 1) = 0

- (r² - 7r + 1) ÷ - 1 = 0 ÷ - 1

r² - 7r + 1 = 0

[tex]r=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

r² - 7r + 1 = 0

a = 1

b = - 7

c = 1

[tex]r=\frac{-(-7)±\sqrt{(-7)^{2}-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{45 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{(3)(3)(5) } }{2(1)}[/tex]

[tex]r=\frac{7±(\sqrt{3 } )(\sqrt{3})(\sqrt{5}) }{2(1)}[/tex]

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Two separate equations

[tex]r=\frac{7+3\sqrt{5} }{2}[/tex]

[tex]r=\frac{7-3\sqrt{5} }{2}[/tex]


Solve the triangle. Round decimal answers to the nearest tenth​

Answers

Answer:

my answer is in this picture

pleaseee helppp meee!!!!

Answers

Answer:

Vertical change of point C to B = 4.5

Vertical change of point A to D = -4

Step-by-step explanation:

Vertical change of a point is the rise of the given point.

Now we have to calculate the rise of point C to B,

y-coordinate of the point C → -2.5

y-coordinate of the point B → 2

Rise from C to B = 2 - (-2.5)

                           = 2 + 2.5

                           = 4.5

Similarly, y - coordinate of point A → 2

y - coordinate of point D → -2

Vertical change or rise = -2 - 2

                                      = -4

Therefore, vertical change of point C to B = 4.5

Vertical change of point A to D = -4

A movie theater sells up to 10 tickets at a time online. What is the domain of this graph?

Answers

Answer:

I think the correct answer is B

Answer:it is is b

Explanation:

1/8 pens are in a bag and is to be shared between 3 people . What fraction of pen should each person get?

Answers

Answer:

1/24

Step-by-step explanation:

1/8 divided 3/1

1/8 x 1/3=1/24

State the slope and the y-intercept for the graph of the equation. y= -2
1; -2
0; -3
-2; 0
0; -2

Answers

Answer: 0; -2

Step-by-step explanation:

Data: y-intercept=x and slope=x

Equation=y=-2

Only step, Point out the y-intercept and slope

-2=y-intercept

0=slope

Reason: Since there is no visible slope, the placeholder would be 0 therefore the slope would be 0, -2 is the only number left so that means the only number that can be y-intercept is -2.

That is why the slope is 0 and the y-intercept is -2

I hope this helps!

please help me i dont understand

Answers

Answer:

Step-by-step explanation:

take 52 degree as reference angle

using tan rule

tan 52=opposite/adjacent

1.27=x/21

1.27*21=x

26.67=x

26.9=x

Simplify the following....
Want it with explanation...
Will give brainliest for the best...

Answers

Answer:

it is about 3.78 if you round to the nearest hundredth

in given circle O find the value of AB

Answers

Answer:

AB = 32 in

Step-by-step explanation:

The value of AB is same as the value of the other chord, it's divided by two similar parts which are 16 each, so the value of AB becomes 16*2= 32 in

Answered by GAUTHMATH

Ratio for 30 boys to 50 girls

Answers

Answer:

30:50 OR Can reduce it to 3:5

Step-by-step explanation:

30: 50 OR 3.5

Answer:

3 : 5

Step-by-step explanation:

30boys : 50girls= 30 : 50 = 30/50 = simplify = 3/5= 3/5 change into ratio is 3 : 53 : 5

Michelle throws a frisbee into the air. The height of the frisbee at a given time can be modeled by the equation h(t)= -2t

Answers

Answer:

(a) The ball will hit the ground after 3 seconds

(b) The maximum height is 6.125

Step-by-step explanation:

Given

[tex]h(t) = -2t^2 +5t +3[/tex]

Solving (a): When the frisbee will hit the ground?

To do this, we set h(t) to 0

So, we have:

[tex]h(t) = -2t^2 +5t +3[/tex]

[tex]-2t^2 +5t +3=0[/tex]

Expand

[tex]-2t^2 +6t-t +3=0[/tex]

Factorize

[tex]-2t(t - 3) -1(t - 3) = 0[/tex]

Factor out t - 3

[tex](-2t -1)(t - 3) = 0[/tex]

Split:

[tex]-2t -1= 0\ or\ t - 3 = 0[/tex]

Solve for t in both equations

[tex]-2t =1\ or\ t = 3[/tex]

[tex]t =-\frac{1}{2}\ or\ t = 3[/tex]

Time can't be negative; So:

[tex]t = 3[/tex]

Solving (b): How height the frisbee will go?

First, we calculate time to reach the maximum height

[tex]t = -\frac{b}{2a}[/tex]

Where:

[tex]h(t) = at^2 + bt + c[/tex]

By comparison:

[tex]a = -2,\ b =5,\ c =3[/tex]

So:

[tex]t = -\frac{b}{2a}[/tex]

[tex]t = -\frac{5}{2*-2}[/tex]

[tex]t = \frac{5}{4}[/tex]

[tex]t = 1.25[/tex]

So, the maximum height is:

[tex]h_{max} = -2 * 1.25^2 + 5 * 1.25 + 3[/tex]

[tex]h_{max} = 6.125[/tex]

What is the solution to this equation?
2x-x+ 9 + 3x - 2 = 16
A. x=23/4
B. x-9/4
c. x-23/5
D. x-9/5

Answers

Answer:

the answer for this question is B

Answer:

x=9/4

If you want the steps I can add them for you.

Step-by-step explanation:

I believe this is correct, if not let me know and I'll fix it. I'm sorry in advance if it is incorrect.

Please help , whoever gets right is brainly

Answers

Answer:

Try an app called connects. I cant help you with this problem but that app can. it has tutors and other things that can help.

Step-by-step explanation:

Intermediate Algebra help, please <3

Answers

Step-by-step explanation:

b

I told you because I did it

solve inequality for x : -46 - 8x > 22

Answers

Answer:

x < -17/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

-46 - 8x > 22

Step 2: Solve for x

[Addition Property of Equality] Add 46 on both sides:                                  -8x > 68[Division Property of Equality] Divide -8 on both sides:                                x < -17/2

Answer: x < −17/2

Step-by-step explanation:

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

−46 − 8x > 22

Step 1: Simplify both sides of the inequality.

−8x − 46 > 22

Step 2: Add 46 to both sides.

−8x − 46 + 46 > 22 + 46

−8x > 68

Step 3: Divide both sides by -8.

−8x/−8 > 68/−8

x < −17/2

Apply the distributive property to create an equivalent expression. 12(2a - 6b+ 8) = 2 1 ​ (2a−6b+8)

Answers

Answer:

a+4=11b

Step-by-step explanation:

Distributive property in mathematics means to multiply the sum by a number of two or more add-ons will provide the same result that each add-on multiplies by a single number and then together add the products.

for example a( b+c) = ab+ac

Therefore, applying distributive property in asked eapression

12(2a - 6b+ 8) = 21(2a−6b+8)

24a+72b+96 = 42a-126b+168

198b=18a+72

9a +36=99b

3a+12=33b

a+4=11b

Solve the system of equations 7x+3y=-37x+3y=−3 and 3x+y=13x+y=1 by combining the equations.

Answers

Answer:

ummmmmm

Step-by-step explanation:

I don't know

What is the perimeter of this equilateral triangle?
Choices
4
20
40
60

Answers

Answer:

60

Step-by-step explanation:

If it is an equilateral triangle the sides are equal

24-x = 5x

Add x to each side

24-x+x = 5x+x

24 =6x

Divide by 6

24/6 =6x/6

4 =x

Each side is 5x or 5*4 = 20

Add the 3 equal sides

20+20+20 = 60

The perimeter is 60

Answer:

60

Step-by-step explanation:

In this case, to find the perimeter, we need to know the value of at least one side.

Since this triangle is equilateral, [tex]5x=24-x[/tex].

Adding x to both sides results in [tex]6x=24[/tex], and subsequently, [tex]x=4.[/tex]

Now that we know x equals 4, we can plug this into either 5x or 24-x and find out that one of the sides is 20.

Equilateral triangles have three equal sides, so 20 times 3, or 60, is the perimeter. I hope this helped!

30. The area of the rectangular floor in
Tamara's room is 95 square feet. The
width of the room is 8 feet.

Answers

Answer:

It has given that the area of the rectangular floor in Tamara's room is 95 ⅚ square feet. the width of the room is 8 ⅓ feet.

Which slope gives the line the steepest slant? - 13/4 or - 12/5

Answers

Answer:

-13/4

Step-by-step explanation:

uhh yeah i need help please

Answers

We first need to figure out our pattern. It looks like we are subtracting 7 each time.

Using that pattern, let's continue it!

43 - 7 = 36

36 - 7 = 29

29 - 7 = 22

Hope this helps!! :)

Answer:

36,29,22

Step-by-step explanation:

64 - 57 = 7

57-50 =7

50-43=7

We are subtracting 7 each time

43-7 =36

36-7 = 29

29 -7= 22

The points ( − 4 , 9 ) and ( 4, −9) lie on the same line. What is its equation in slope-intercept form of this line?

Answers

Answer:

y = -9/4x

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

   = ( -9-9)/(4 - -4)

   ( -9-9)/(4+4)

   -18/8

   -9/4

Slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = -9/4 +b

Substitute a point into the equation

9 = -9/4(-4) +b

9 = 9+b

b=0

y = -9/4x

Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.

1. Starting from a full tank, can Diego's family drive the car for 14 days without the warning light coming on? Explain your reasoning.

2. Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on? Explain your reasoning.

3. Diego says the expression 14 - 0.6t helps him to understand this situation. What does this expression represent, and what does the variable t stand for?

4. Write and solve an equation to determine the number of days Diego’s father can drive the car without the warning light coming on.

5. Write and solve an inequality that represents this situation. Explain clearly what the solution to the inequality means in the context of this situation.

Answers

Answer:

1) if he wants to do that he needs 0.6 gallons x 14 days = 8,4 gallons.

If the car starts with 14 gallons then he is able to ride 14 days without the warning light.

2) now he would need 0.6 gallons x 25 days = 15 gallons.

he only has 14 gallons so that is not possible.

3) no clue sorry

4) x= the days he can drive without the warning light

14-1,5 = 0,6.x

<=>12,5= 0,6.x

<=>20,833... = x

He can go 20 days without the warning light.

5) x= the days he can drive his car without seeing the warning light.

x.0,6<12,5

<=> x<20,833...

If he drives 20,833... days he will see the warning light so everything before that he won't see it.

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