Alicia is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this? CLEAR CHECK x2+81x+18=54 x2−8x+24=17 x2+9x−24=25 x2+16x+64=36

Answers

Answer 1

Answer:

d.) x2+16x+64=36

Step-by-step explanation:

To find - Alicia is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this?

a.) x2+81x+18=54

b.) x2−8x+24=17

c.) x2+9x−24=25

d.) x2+16x+64=36

Proof -

The correct answer is - d.) x2+16x+64=36

x2+16x+64=36

⇒x² + 8x + 8x + 64 = 36

⇒x(x + 8) + 8(x + 8) = 36

⇒(x+8)(x+8) = 36

⇒(x+8)² = 36

Take square root both sides, we get

√(x+8)² = √36

⇒x + 8 = ± 6

⇒x + 8 = 6, x + 8 = -6

⇒x = 6 - 8 , x = -6 - 8

⇒x = -2, -14

So,

Equation (4) allows her to do the following thing she ants.


Related Questions

Hey please help me this is an Angle sum theorem!!!

Answers

Answer:

900° and 1260°

Step-by-step explanation:

The sum of the interior angles of a polygon is calculated as

sum = 180° (n - 2) ← n is the number of sides

(2)

Here n = 7 , then

sum = 180° × 5 = 900°

(3)

Here n = 9 , then

sum = 180° × 7 = 1260°

Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up? (5 points) a 410 over 2500 b 440 over 2500 c 32 over 50 d 42 over 50

Answers

Answer:

Its D hope this help byee

Answer:

It is D I got this correct on the test.

Step-by-step explanation:

Pilar used five reusable shopping bags on a recent purchase she made at a grocery store. Each bag decreased the amount she spent by 15 cents. What was the change to the amount Pilar spent at the grocery store by using the reusable bags?

Answers

Answer:

-25 is the correct answer

Step-by-step explanation:

hope this helps:)


Trains Two trains, Train A and Train B, weigh a total of 508 tons. Train A is heavier than Train B. The
difference of their weights is 440 tons. What is the weight of each train?

Answers

See the picture below

HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!

Answers

What’s the question do we have to solve it?

how many solutions is there to the system of equations? 2x + 3y = 11 -4x - 6y = -22

Answers

Answer:

x = 4, y = -3

Step-by-step explanation:

{2x - y = 11

{x + 3y = -5

You can use the substitution method by solving for x in the second equation:

x + 3y = -5

Subtract 3y from both sides:

x = -3y - 5

Now, substitute this value for x into the first equation:

2x - y = 11

2(-3y - 5) - y = 11

Distribute:

-6y - 10 - y = 11

Add 10 to both sides:

-6y - y = 21

Combine like terms:

-7y = 21

Divide both sides by -7:

y = -3

Next, substitute this value for x into the second equation:

x + 3y = -5

x + 3(-3) = -5

Multiply:

x - 9 = -5

Add 9 to both sides:

x = 4

can some one answer my question i put up plz and ill mark you the b and give you 50 points

Answers

Answer:

what is your question

Step-by-step explanation:

When graphing c=12, would you use an closed circle or opened circle?

Answers

Answer:

closed

Step-by-step explanation:

because its = not -< or>-

From a group of 11 people, you randomly select 2 of them. What is the probability that they are the 2 oldest people in the group? Give your answer as a fraction.​

Answers

Answer:

2/11

Step-by-step explanation:

Probability is the LIKELIHOOD of an event.

According to the word problem, there are 11 people in total and 2 of them are being selected.

The probability of them being the 2 oldest people is 2 in 11, or 2/11.

I need help please!!

Answers

A
B
C
E
F
G
(It’s basically just a game of making pairs)

HELP ASAPPPPPPP FASTTT

Answers

Answer:

∠ FEG = 50°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

110° is an exterior angle of the triangle, then

5x + 6x = 110

11x = 110 ( divide both sides by 11 )

x = 10

Then

∠ FEG = 5x = 5(10) = 50°

In ⊙Q, mJK=180° and mLM=116°. What is m∠1?

Answers

Answer:

64degrees

Step-by-step explanation:

From the given diagram;

m<LK = 180degrees

m<LM = 116degrees

Required

m<1

Since <1 and <LM lies on the same straight line, hence;

m<1 + m<LM = 180

m<1 + 116 = 180

m<1 = 180 - 116

m<1 = 64degrees

Hence the measure of m<1 is 64degrees

Answer: 32

Step-by-step explanation:

2a+180+116=360

2a=64

a=32

I’m having a hard time

Answers

the second and third shape are rectangular shapes.

Answer:

Its the third and fourth answer

What does side DE equal?

first person gets brainliestly answer!

Answers

Side DE would equal 20

Answer:

Length of line DE = 20

Step-by-step explanation:

The scale factor from ΔABC to ΔDEF is 2.

Line AB is similar to line DE.

So, we need to multiply the length of line AB by 2 to get the length of line DE:

10 × 2 = 20

helpp nowww i will give branliest

Answers

Answer:

Z

Step-by-step explanation:

Y axis is the line thats up and down

Answer: Z

Step-by-step explanation: pls if im correct give me brainliest, if not correct give it to some one else

What is the slope of the line that passes through the points (-5, 8) and (-11, 8)

Answers

(-6,0) I believe because when you graph it it’s only 6 spaces away for the x and they’re on the same line but a bit apart

there is given the numbers equals to 8 and DC equals to 3.2 and BE quals to 9 and find BC ​

Answers

Given:

Consider [tex]AB\parallel DE[/tex] in triangle ABC and [tex]AD=8,DC=3.2,BE=9[/tex].

To find:

The length of BC.

Solution:

Basic proportionality theorem (BPT): If a line intersect the two sides of triangle and parallel to the third side, then that line intersects the other two sides proportionally.

Using Basic proportionality theorem, we get

[tex]\dfrac{AD}{DC}=\dfrac{BE}{EC}[/tex]

[tex]\dfrac{8}{3.2}=\dfrac{9}{EC}[/tex]

On cross multiplication, we get

[tex]8\times EC=9\times 3.2[/tex]

[tex]EC=\dfrac{28.8}{8}[/tex]

[tex]EC=3.6[/tex]

Now,

[tex]BC=BE+EC[/tex]

[tex]BC=9+3.6[/tex]

[tex]BC=12.6[/tex]

Therefore, the length of side BC is 12.6 units.

HELP ME PLEASE find EC

Answers

Answer:

12

Step-by-step explanation:

if only EC is a diameter and DO is a radius

the answer is 12 i think

A local hamburger shop sold a combined total of 711 hamburgers and cheeseburgers on Monday. There were 61 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday?

Answers

Answer:

772 sold in monday

Step-by-step explanation:

add the problem

calculate the following -50(20-25)+30(-10+7)-20(+16+12)​

Answers

Answer:

-400

Step-by-step explanation:

PLEASE HELP ASAP!

The table shows a linear function.

Which equation represents the function?

Answers

Answer:

The answer seems to be A

Step-by-step explanation:

You roll a fair
6
66-sided die.
What is
P(roll greater than 4
)
P(roll greater than 4)start text, P, left parenthesis, r, o, l, l, space, g, r, e, a, t, e, r, space, t, h, a, n, space, 4, end text, right parenthesis?
If necessary, round your answer to
2
22 decimal places.

Answers

Answer:

3

Step-by-step explanation:

1/3 Now that is the answer

Answer: 0

Step-by-step explanation: 0

HELP ASAP!!!! Rosa has 4 1/2 pounds of pizza dough. She uses 3/4 of a pound for one pizza. How many pizzas could be made from Rosa's dough?

Answers

Answer:

6

Step-by-step explanation:

3/4

1 1/2

2 1/4

3

3 3/4

4 1/2

Sorry if this doesn't make sense, I hope I helped though!

the organic cafe has 15 pastries for sale, including 6 peach scones. what is the probability that a randomly selected pastry will be a peach scone?

Answers

Answer:

Probability of getting Peach scone pastry = 3 / 5

Step-by-step explanation:

Given:

Total number of pastries in store = 15

Number of Peach scone pastry = 6

Find:

Probability of getting Peach scone pastry

Computation:

Probability = Number of event / Total outcomes

Probability of getting Peach scone pastry = Number of Peach scone pastry / Total number of pastries in store

Probability of getting Peach scone pastry = 6 / 15

Probability of getting Peach scone pastry = 3 / 5

4 to the power of 6 multiplied by 4 to the power of 7

Answers

Answer:

Step-by-step explanation:

it would be 67108864

Answer:

[tex]4^{13}[/tex]

Step-by-step explanation:

In exponents multiplication, if base are same , add the powers

[tex]a^{m}*a^{n} = a^{m+n}\\[/tex]

[tex]4^{6}*4^{7}= 4^{6+7} = 4^{13}[/tex]

in a class where a number of girls is 36% of the total number there are 48 boys how many students are there in the class

Answers

Step-by-step explanation:

girls=36%

boys=100%-36%

=64%

boys:48=64%

?=100%

*you cross multiply to get

75 as the total students

75 total students in class

what is 4 minus 7 plus 9 =8

Answers

Answer: 15

Step-by-step explanation:

 4-7+9=8

  +7     +7

  4+9=15

    15=15

Answer:

Step-by-step explanation:


PLEASE LOOK AT THE PICTURE I REALLY NEED HELP AND ILL APPRECIATE IT IF SOMEONE HELPS ME

Answers

A,B,D
!!!!!!!!!!!!!!!!!!!!!!!!!!!

Charles inherited $500,000 from his grandfather. He decides to invest the money into a fund that has 4% annual interest. If the interest is compounded continuously, what is the total amount that is compounded annually?

Answers

Answer:

this is answer$10,000$1o,5oo ok

The range of a data set is 14. If the smallest number in the set is 24.

What is the largest number?

Answers

the answer is 38. bc 24 + 14 is 38 which is the largest number. so 38-24 = 14 which is the range.
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