What number must you add to complete the square?
X2 + 12x = 40
x2
o
A. 36
B. 20
(
C. 6
O
O
D. 5
х

Answers

Answer 1

Answer:

36

Step-by-step explanation:

x^2 + 12 x  = 40

To complete the square, take the coefficient of the x term

12

Divide by 2

12/2 = 6

Square it

6^2 = 36

Add 36 to each side


Related Questions

All Questions Are Above

Answers

Answer:

2. 5.25

3. 3

4. 81.68

Step-by-step explanation:

Hope this helps and sorry if i'm wrong

The height, h, of a baseball thrown upward with an initial velocity of 10
feet per second from 6 feet above the ground is modeled by the function
h = -16x2 + 10x + 6, where x is the time in seconds. How long does it
take before the ball hits the ground?

Answers

Answer:

1 second

Step-by-step explanation:

use the general quadratic formula

What is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long, respectively?


13
square root of 13


85
square root of 85

13
13

21
21,

42

Answers

Pythagorean Theorem:
6^2 +7^2 =hypotenuse^2
Hypotenuse = sqrt of 6^2 + 7^2
Hypotenuse = sqrt of (36 + 49) = sqrt of 85

So the hypotenuse is square root of 85 (the second option)

I hope this helps :) sry for not using proper symbols I was kinda in a rush

Andre is preparing for the school play and needs to paint the cardboard castle backdrop that measures 16 1/3 feet by 6 feet.
1. How much cardboard does he need to paint?
2. If one bottle of paint covers an area of 30 square feet, how many bottles of paint does Andre need for his backdrop? (Remember, he can't buy a partial bottle of paint.)

Answers

1. To find how much cardboard he needs to paint you need to find the area of the cardboard which is length times width. So in this case, it would be 16 1/3 feet times 6 feet. Or 49/3 times 6/1. This gives you 294/3 or 98 feet.
2. To find this you would divide the total area by how much area each bottle covers to find how many bottles you need. 98 divided by 30 is 98/30 which reduces to 49/15 or 3 4/15. Since you can’t have 4/15 of a bottle, you’d round up to 5 bottles of paint.

The World Health Organization (WHO) suggests having 23 health-care workers for every 10,000 people. How many health-care workers are needed to meet the suggestion of 250,000 people? Justify your answer using a graph.

Answers

Answer:

575

Step-by-step explanation:

10000 ⇒ 23250000 ⇒ x

Cross-multiply and solve for x:

x = 250000*23/10000x = 575

Health care workers be x

x/23=250000/10000x/23=25x=23(25)x=575

Graph attached

Scale applied 1=0.001

Can you answer these, please?

Answers

I’ll answer these just hold up

Answer:

A, A

Step-by-step explanation:

they are both A´s

14 = 7n


help please

Answers

Answer:

n = 2

Step-by-step explanation:

divide by 7 on both sides

Answer:

n = 2

Step-by-step explanation:

7n is the same as 7 times value = 14.

You may find the value of n by simply dividing both sides by seven, in order to isolate the variable.

^ 14/7 = 7n/7

^ (simplified) 2 = n or n =2

Therefore:

Your answer is 2 or n's value in this scenario is 2.

Which set of numbers contains only rational numbers?

Answers

Answer:

A because of the Earth or D because of you

Find the radius of a hemisphere with a volume of 106.1 cubic inches. Round to the nearest tenth if necessary.

Answers

Answer:

Step-by-step explanation:

Normal distribution has a mean of 103 and a standard deviation of 2.7 what is the Z score of 105. enter your answer rounded to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

105 - 103 ]  

_________      =  z score  ≈  0.74    

   2.7

Tanisha grew by 15 cm in the past year, and is now 1.5 meters tall. How tall in cm was Tanisha last year?

Answers

Answer:

Tasha was 135 cm last year

Step-by-step explanation:

Circles A, B, and C overlap. The overlap of circles B and C is labeled x.
Which statements are true about x? Select three options.

x ∈ B ⋃ C
x ∈ B ∩ C
x ∈ A ⋃ C
x ∈ A ∩ C
x ∈ A

Answers

Given:

Circles A, B, and C overlap.

The overlap of circles B and C is labeled x.

To find:

The three correct statements about x.

Solution:

It is given that the overlap of circles B and C is labeled x. It means x represent the common elements of B and C.

So, x belongs to the intersection and union of B and C.

[tex]x\in B\cup C[/tex]

[tex]x\in B\cap C[/tex]

Since x is the element of C, therefore it is also the element of A union C.

[tex]x\in A\cup C[/tex]

The overlap of circles B and C is labeled x. It means [tex]x\notin A[/tex]. So,

[tex]x\notin A\cap C[/tex].

Therefore, the correct options are A, B and C.

Answer:

A, B and C.

Step-by-step explanation:

edge

Could someone answer this please?

Answers

Answer:

I think its false

Step-by-step explanation:

I've tried every strategy there is no way there could be a function

Answer:

I think its false

Step-by-step explanation:

cuz it's not a function

1/2x^2-x-4=0 (PLEASE GIVE REAL ANSWER)
Find the Axis of Symmetry and Vertex and Solutions. Show work.

Answers

good luck :))))))kkkkk

what is the slope of this graph​

Answers

Answer:

-4

Step-by-step explanation:

Slope is -4.

Because 0-6 / 3-1

-6 / 2 = -4

Answer:

here is your answer: the line is your rise over run. not what you wanted? if so.. the answer to the question is the change in x and in y

Step-by-step explanation:

Pam is 11 years older than Carl. If the sum of their ages is 91, how old are Pam and Carl?

Answers

Answer:

Pam is 51 while Carl is 40

Step-by-step explanation:

Pam =51
Carl = 40
Pam is more older than Carl by 11 years
Together makes 91
91-11=80
80/2=40(Carl)
40 +11= 51(Pam)
I hope this helped and was right

Which of the four represents x or y

Answers

Answer:

Option B

Step-by-step explanation:

hope it helps...

have a great day!!

The answer is B, I got the same question and i put B

Help MATH please EEEEE

Answers

Y=mx+b
Where m is the slope and be is the intercept

From the graph you can conclude the y intercept is 1

The slope is rise/run
From the graph you can see that the point goes up1 and right 1

So the equation will be

Y=1/1x+1 which can be rewritten as
Y=x+1

In a right triangle, the base is 12 m and the hypotenuse is 15 m. What is the length of height?

A. 81m
B. 9 m
C. 12 m
D. 19.2 m


HELP NOW PLEASE

Answers

Answer:

L = Hyp²-B²

L=15²-12²

L =225 - 144 = 81

L= √81=9

L= 9m

Write the equation of the line that passes
through the points (-7,-9) and (-3,-1)

Answers

Answer:

2x + 5

Step-by-step explanation:

I am assuming you are talking about a linear function. If it is, then the equation would be:

2x + 5.

Hope this helps!

Answer:

[tex]y = 2x + 5[/tex]

Step-by-step explanation:

For this example, I used the slope-intercept form, [tex]y = mx + b[/tex], where m represents the slope and b represents the y-intercept.

In order to find the equation, we must find the slope and y-intercept.

Finding m

The slope can be found with the formula:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex], where the x and y variables represent different x and y values from the given points.

Substituting in values from the points, we get:

[tex]m = \frac{-1 + 9}{-3 + 7}\\\\m = \frac{8}{4}\\\\m = 2[/tex]

Finding b

In order to find the y-intercept, we must substitute the slope back into the original equation:

[tex]y = 2x + b[/tex]

After this, we must also substitute either of the two points. Both will give the correct answer, but (-3, -1) will be used for this example.

[tex]-1 = 2(-3) + b\\-1 = -6 + b\\5 = b[/tex]

Finding the equation

After this, all that must be done is to substitute the values for b and m back into the original equation.

[tex]y = 2x + 5[/tex]

To check our work, we can substitute in either of the given points. For demonstration purposes, (-7, -9) will be used.

[tex](-9) = 2(-7) + 5\\-9 = -14 + 5\\-9 = -9[/tex]

A company that sells yoga mats estimates its annual profit using the equation below, where x represents the wholesale price in dollars of 1 yoga mat, and P = annual profit in thousands of dollars.
P = 10x? - 280x + 1,600 When the expression on the right side of this equation is factored completely, which best describes the meaning of the factors?
The annual profit is zero at a wholesale price of $80 and zero at a wholesale price of $200.
The annual profit is zero at a wholesale price of $8 and maximized at a wholesale price of $20.
The annual profit is zero at a wholesale price of $80 and maximized at a wholesale price of $200.
The annual profit is zero at a wholesale price of $8 and zero at a wholesale price of $20.

Answers

Answer: (d)

Step-by-step explanation:

Given

Annual profit is given by

[tex]P=10x^2-280x+1600[/tex]

When it is factored then,

[tex]\Rightarrow 10x^2-280x+1600=0\\\Rightarrow 10\left( x^2-28x+160\right)=0\\\Rightarrow x^2-20x-8x+160=0\\\Rightarrow x(x-20)-8(x-20)=0\\\Rightarrow (x-8)(x-20)=0\\\Rightarrow x=8,20[/tex]

On factorization, we get that annual profit is zero at a whole prize of $8 and $20.

Sharlene opened a new account and deposited $6,000.

- The bank pays 5.5% interest compounded annually.

- She makes no other deposits or withdrawals.

Which amount is closest to the amount in her account at the end of 5 years? 9 points

A. $7,841.76
B. $7,650.00
C. $6,330.00
D. 6,155.00

Answers

Answer:

B

Step-by-step explanation:

Halla X

Para una practica de 11 mins q-q

Answers

X es igual a 5


De nada

Which expression shows the product of the sum 3 and h and 8?

3 + h + 8

8(3 + 8 )x 3

(H + 8 )x 3

3 x h x 8

Answers

Answer:

I'm sorry I am not trying to steal your points but do you mean the product of the sum of 3? Because a letter can't be a sum unless it equals to a number

Which is the value of this expression when m=3 and n=-5? (6m^-1 n^0)^-3

A:-8
B:-1/8
C:1/8
D:8​

Answers

Answer:

The answer is C.

Step-by-step explanation:

I would simplify the expression first.

Equation: (6m^-1)^-3

You can get rid of n^0 because that equals 1.

Any expression raised to the power of -1 equals its reciprocal.

Equation: (6/m)^-3

Equation: (m/6)^3

Final Equation: m^3/216

Now, plug in 3.

(3)^3/216.

27/216 = 1/8

Hope this helps!

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

length of a regular hexagon's sides is using the following formula: s = P ÷ 6, where P is the perimeter of the hexagon, and s is the length of any one of its sides.

Please help , will mark brainliest.

Answers

Answer: 30 ft

hope this helped :)

Can anyone help? PLS I NEED THIS BY TOMORROW!!

Answers

Answer:5 or 5 degrees

Step-by-step explanation:

the box means 90 degree so if you divide 45 with 90 you get 2

2 divided by 10 = 5

Answer:

x = y = 10

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 10

Since the base angles are 45° then the triangle is isosceles and the 2 legs are congruent, then

x = y = 10

30 was rounded to 1 significant figure.
What is the lower bound?

Answers

Answer:

25.

Step-by-step explanation:

25 to 1 significant figure is 30.

Ms. Gonzales is investing $17000 at an annual interest rate of 6%
compounded continuously. How much money will be in the account after
16 years? Round your answer to the nearest hundredth (two decimal
places).

Answers

Answer:

44398.84

Step-by-step explanation:

17,000e^(0.06)(16)

it helps to use a desmos scientific calculator

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