Find the expression that is equivalent to:
x2 - 16x + 64

a (x – 8)(x + 8)
b (x + 8)(x + 8)
c (x + 8)^2
d (x – 8)^2

Answers

Answer 1

Answer:

D. (x – 8)^2

Step-by-Step Explanation:

x2 - 16x + 64:

Step 1: Use the sum-product pattern.

[tex]x^{2} -16x+64\\x^{2} -8x-8x+64[/tex]

Step 2: Common factor from the two pairs.

[tex]x^{2} -8x-8x+64\\x(x-8)-8(x-8)[/tex]

Step 3: Rewrite in factored form.

[tex]x(x-8)-8(x-8)\\(x-8)(x-8)[/tex]

Step 4: Combine to a square.

[tex](x-8)(x-8)\\(x-8)^{2}[/tex]


Related Questions

Find the measure of the indicated angle.

Answers

Answer: 88

Step-by-step explanation: angle B and C are equal. equation would be 46+46+X=180


A scale model of a bus is 12 inches long. The scale is 1:21. How many inches long is the bus it
represents?

Answers

its 304.8 milimeter

The actual length of the bus that the scale model represents is 252 inches.

To find the actual length of the bus represented by the scale model, you can use the scale ratio.

Given:

Scale model length = 12 inches

Scale ratio = 1:21

Let "x" be the actual length of the bus.

Using the scale ratio:

Scale model length / Actual length = Scale ratio

12 inches / x inches = 1/21

Now, solve for "x":

x = 12 inches / (1/21)

x = 12 inches × 21

x = 252 inches

Therefore, the actual length of the bus that the scale model represents is 252 inches.

To learn more on Ratios click:

https://brainly.com/question/13419413

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how to solve 125×-1=25×+3​

Answers

Answer:

x=1/25

Step-by-step explanation:

You borrow $450 from a friend the first week and pay the friend back $10 each week thereafter. Write the first six terms in the sequence Explain what the sixth term means in the context of the situation
Write the first six terms in the sequence. Explain what the sixth term means in the context of the situation.

Answers

Using an arithmetic sequence, we have that:

The first six terms of the sequence are: 450, 440, 430, 420, 410 and 400.The 6th term of 400 means that after 6 weeks, the amount you owe your friend is of $400.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, we have that:

On the first week, you owe the friend $450, hence the first term is [tex]a_1 = 450[/tex].Each week, you pay back $10, hence the amount you owe is reduced by 10, and the common difference is of d = 10.

Hence, considering the common difference, each term is the previous term subtracted by 10, and:

The first six terms of the sequence are: 450, 440, 430, 420, 410 and 400.The 6th term of 400 means that after 6 weeks, the amount you owe your friend is of $400.

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

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mr gardener is makin 6 treat bags.he has 185 chocloate coverd raisins. how many chocolate coverd rasins will be on each bag

Answers

Answer:

30

Step-by-step explanation:

he will still have extra but not enough to make another bag

Someone help me pls

Answers

Answer:

1 rubber cube dude give since we'll

A __________ is a specific number whose value does not change.

Answers

Answer:

Constant

Step-by-step explanation:

Write the equation of the line that passes through the given point and its parrallel to the given line

(2, 7); 3x - y = 5

if you know how to do this could you explain? its okay if you dont want to though ​

Answers

Answer:

PLEASE MARK BRAINLIEST

Step-by-step explanation:

y= mx + c

-y = 5- 3x

y= 3x - 5; m =3

since it is parallel

m1=m2

y- y1= m(x -x1)

y -7 =3(x -2)

y- 7=3x - 6

y= 3x +1

four times a number increased by 5 is equal to45​

Answers

Answer:

Your answer is 10.

Step-by-step explanation:

45 - 5 = 40

40 / 4 = 10

Hope this helps!

Answer:

45-4=41

41-4=10

Step-by-step explanation:

10*4=40

Round 63.7786879082 to the nearest tenth.

Answers

The answer would 63.78

If a coin is flipped 50 times, in how many ways could there be exactly two tails?

Answers

Answer:

if u eat 50 apples in a month how many of them will be bitter or sweat.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

it has a 50 50 percent chance of landing on tails each time

help
please
please
please

Answers

Step-by-step explanation:

x = price of pants

y = price of top

x + y = 36

x = (4/5)y

we use the second equation as substitute in the first

(4/5)y + y = 36

4y + 5y = 180

9y = 180

y = $20

x = (4/5)y = (4/5)×20 = 4×4 = $16

difference of 85 and 45

Answers

Answer:
The difference of 85 and 45 is 40

If B = x + 10 and C = x + 2 , find an expression that equals 2B + 2C in standard form.

Answers

Answer:

4x+24

Step-by-step explanation:

B = x+10

C = x+2

2B + 2C = 2(x+10) + 2(x+2) = 2x+20+2x+4 = 4x+24

RQ is a perpendicular bisector to PS at Q between P and S.

Answers

Answer:

r

Step-by-step explanation:

In a lab experiment, 30 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 24 hours. How many bacteria would there be after 11 hours, to the nearest whole number?

Answers

Answer:

13.75 if you want exactly but 14 if rounded

Volume Of This Prism

Answers

Answer:

look at the photo i have sent

I don’t understand any of these, please can someone help

Answers

Answer:

you have to answer the question and then solve the question

1
What is the solution to the equation
=
X+ 3
?
2x4
x = -3
x = -3 and x = 0
ооо
x = 0 and x = 3
O x= 3

Answers

Answer:

X+3 = 3x

2x4 = 8

_3x

check out the remaining answer

put 5.04, 5.069, 5.4, and 5.64

Answers

Answer:21.149

Step-by-step explanation:If you add them all together you get 21.149 5x4 =20 so add the decimals last then add 20 when you add .04+.069 then add .4+.64 then add the answers and get 21.149.

What is the equation of the line that passes through the point (-6, -5) and has a slope of -3/2?

Answers

Answer:

y=3/2x+3/2

Step-by-step explanation:

point at (-6,-5)

slope = m = 3/2

y = mx+b

(-6)=(3/2)(-5)+b >>> substituting x & y to solve for b

-6 = (-15/2)+b >>> simplify previous equation

-6 + (15/2) = b >>> isolate and solve for m

3/2 = b

therefore, the equation of the line passing through the point (-6,-5) with a slope of 3/2 is y=(3/2)x+(3/2)

Lois is baking pies and cakes for a family party. The pie recipe calls for cups
of vegetable ol, and the cake recipe calls for 1 cups of vegetable oil. If Lois
wants to bake 2 pies and 2 cakes, how many cups of vegetable oil does she
need?

Answers

Answer:

the answer to your question is is 5 and more

Triangle ABC is an isosceles triangle. Angles B and C are base angles, with measurements of (5x - 10)° and (4x + 5)°, respectively. What is m
15 °
35 °
50 °
60 °

Answers

Answer:

[tex]\bf{50 \degree }[/tex]

Step-by-step explanation:

Given:

[tex]\begin{aligned}&\sf \triangle \ ABC \\&\sf \angle B \ \cong \angle C \end{aligned} [/tex]

Solve for x

[tex]\begin{aligned}&\sf 5x-10=4x+5 \\&\sf 5x-4x=5+10 \\&\sf x=15 \end{aligned} [/tex]

Solve for ∠B

[tex]\begin{aligned}&\sf (5x-10)\degree \\=&\sf \ (5(15)-10)\degree \\=&\sf \ (75-10)\degree \\=&\sf \ 65 \degree \end{aligned} [/tex]

Solve for m

[tex]\begin{aligned}&\sf m=180 \degree -(\angle B + \angle C) \\&\sf m=180 \degree -(65 \degree + 65 \degree ) \\&\sf m=180 \degree - 130 \degree \\&\boxed{\bf{m=50 \degree }} \end{aligned} [/tex]

B is between A and C. C is between B and D. If BC = 45 and CD is 20. If AB = CD, what is the measure of AD?

AD =

Answers

Answer:

AD = 85

Step-by-step explanation:

AD = AB + BC + CD ( substitute values , noting AB = CD = 20 ) , then

AD = 20 + 45 + 20 = 85

which of the following pairs of triangles can be proven congruent through SAS​

Answers

Answer:

a and d

Step-by-step explanation:

[tex]x^{2} -25+24[/tex]

Answers

Answer:

(x-24)(x-1)

Step-by-step explanation:

common sense + practice

kinda did it in my head


1. Translate the following sentence into an equation and solve. The
product of five and the sum of a number x and three is twelve .?

Answers

Answer: 5(x+3)=12

Step-by-step explanation:

please helpppppppppppppppppppppppp

Answers

Answer:

12,000

Step-by-step explanation:

1,306+ 7,247 + 3,418 = 11,971

11,971 rounds up to 12,000

someone please help


Find the factored form of the expression. Check your answer.

2x^2 + 2 = 0

(looking for an answer

with )

Answers

Answer: 2(x^2 + 1)

Step-by-step explanation: its either that or no solution for this question

Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
• They are perpendicular because their slopes are
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They are not perpendicular because their slopes are
equal.
O They are not perpendicular because their slopes are
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Answers

Answer:

The answer is A

Step-by-step explanation:

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