What is the complete factorization of the trinomial x^2-8x+16?

A.
(x – 4)(x – 4)
B.
(x – 2)(x + 8)
C.
(x – 1)(x – 16)
D.
(x + 4)(x – 4)

Answers

Answer 1

Answer:

A. (x-4)(x-4)

Step-by-step explanation:

Note that (x+a)(x+b)=x²+(a+b)x+ab.

Looking at this with regard to our trinomial, x²-8x+16, in our case we could say that a+b=-8 and ab=16.

Since ab=16, we know a and b are pairs of factors of 16. So a and b are either (1 and 16), (2 and 8), (4 and 4).

We also know that a+b=-8, so which pair of factors above can be added or subtracted from each other to get -8? 4 and 4, or rather, -4 and -4.

So, since (x+a)(x+b)=x²+(a+b)x+ab, and in our case 'a' and 'b' are both -4, we can say that x²-8x+16=(x-4)(x-4).


Related Questions

Assignments
Calculate the circumference and area of the circle shown below. Record your answers,
with units, on the lines provided Use 3.14 for pi.
Calendar
Files
5 in
C = πά
А = 2

Answers

Answer:

That is true

Step-by-step explanation:

You got it right

Amanda runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?

Answers

Answer:

5.6 miles

Step-by-step explanation:

[tex]\frac{7}{80} =\frac{x}{64}[/tex]   Set up the proportion

[tex]7(64)=x(80)[/tex]  Cross multiply

[tex]448=80x[/tex]     Simplify

[tex]\frac{448}{80}=\frac{80x}{80}[/tex]    Divide both sides by 80

[tex]5.6=x[/tex]

Identify the volume of a regular triangular pyramid with base edge length 14 ft and height 9 ft.

Answers

Answer:

The volume is 588 ft³

Step-by-step explanation:

[tex]v = a {}^{2} \frac{h}{3} = 14 {}^{2} \times \frac{9}{3} = 588[/tex]

Answer:

254.6 ft3 F

Step-by-step explanation:

To find the volume of the pyramid, first calculate the area of the base.

As the pyramid is the regular triangular pyramid, the base is an equilateral triangle.

To find the area of the equilateral triangle, calculate the length of the height.

Since the triangle is equilateral, each angle in the triangle equals 60°.

The height forms a 30°- 60°- 90° triangle. One leg of this triangle is equal to half of the side of the large triangle, or 7 ft. The other leg of the triangle is equal to 73‾√ ft by the 30°- 60°- 90° Triangle Theorem.

Therefore, the length of the height of the triangle is 73‾√ ft.

To find the area of the base of the pyramid, B, use the formula for the area of a triangle, B=12bh.

Substitute 14 for b and 73‾√ for h.

B=12⋅14⋅73‾√

Simplify.

B=493‾√ ft2

To find the volume of the pyramid, use the formula for the volume of a pyramid, V=13Bh.

Substitute 493‾√ for B and 9 for h.

V=13⋅493‾√⋅9

Simplify.

V=1473‾√

Use a calculator to approximate.

V≈254.6 ft3

Therefore, the volume of the regular triangular pyramid is about 254.6 ft3.

If AD is the perpendicular bisector of EB, find each measure.

Answers

Answer:

look at the picture

Step-by-step explanation:

I'm not sure about the value of x but I believe it is -23

1. How many total students were surveyed?

2. Which of the following statements is NOT correct?
A. The median is likely to fall in the 5 – 9 interval.
B. More students read between 0 – 9 books than 10 - 24 books
C. The mode is 24 books.
D. The range of books read could be 24.

Answers

Answer:

A if I'm not incorrect. Sorry if I am incorrect I'm bad at math.

The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.

100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.

Answers

9514 1404 393

Answer:

slope: 10 m/srepresents speed in meters per second

Step-by-step explanation:

The slope is the change in the quantity on the vertical scale, divided by the corresponding change in the quantity on the horizontal scale.

Here, the line goes from 0 to 100 meters on the vertical scale, corresponding to a change from 0 to 10 seconds on the horizontal scale. So, the slope is ...

  m = (100 m)/(10 s) = 10 m/s . . . . slope of the line

The ratio of distance to time is given the name "speed", so ...

  the slope represents the sprinter's speed in meters per second.

Please help!! Prob and stats!!!

Answers

i don’t know sorry use mathaway it’s really good 11

Find the axis of symmetry of the parabola y=2x^2+4x-1

Answers

Answer:22

Step-by-step explanation:

Add

Multiply

Divide

the distance between two points is 9 and point one is located at (-2, 2), what could be the possible coordinates of point two?
(2, 9)

(7, 2)

(11, 2)

(2, 11) HELP NOW

NO LINKS PPLS I WILL GIVE THE CROWN THING ITS WORTH 50 points

Answers

11,2 is the answer i believe
11,2 is the answer I think

there are 12 eggs of the same weight on the scale. the total weght is 620g determine the total weight if the number of eggs is increased to 20​

Answers

Answer:

1033.2 g or 1.033 kg

Step-by-step explanation:

(620/12)(20) = 1033.2 g

Write an inequality for the sentence below and then solve and check it. The sum of w and nine is less than 18

Answers

Answer:

w < 9

Step-by-step explanation:

w + 9 < 18

To solve this inequality, we MUST get the w by itself

Subtraction Property of Equality  w + 9 - 9 < 18 - 9

Answer w < 9

Does anyone know the answer to this one ???


What number divided by −3 gives 12 as the result

Answers

Answer: -36

Step-by-step explanation: a negative and a negative give a positive so -36/-3=12

(to check your answer you can also always just multiply the two numbers ex: 12 x -3= -36)

If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X, ​

Answers

Answer:

The answer is option C..........

To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.

What is line segment?

A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.

To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.

The slope of AB can be calculated using the formula:

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

Similarly, the slope of CD can be calculated using the formula:

mCD = (ya - Y3) / (xx - X3)

If mAB = mCD, then AB is parallel to CD.

Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)

For more details regarding line segment, visit:

https://brainly.com/question/30072605

#SPJ7

name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.

Answers

ABC, CBA, 1, B

the angle is obtuse

⚠️URGENT PLEASEEEEE HELP!!!

Find the m

Answers

Answer

It is 112

Step-by-step explanation:

Find the length of AC using Pythagorean Theorem.

Answers

Answer:

23

Step-by-step explanation:

A Store was trying to sell a bed set for $475. After a while, they marked the price tag down 35%. If tax is 5% (of the sale price), how much would the bed cost?

Answers

the bed would cost $324.19 hope this helps!

PLEASE HELP................................!

Answers

Answer:

-6 and -4 only

Step-by-step explanation:

4. 2x2 + 4x + 10 = 0

Answers

Answer:

Step-by-step explanation:

This doesn't factor. Not only that, but it does not give real results. The discriminate is negative.

a = 2

b = 4

c = 10

You could divide this equation by 2

a = 1

b = 2

c = 5  

These three are smaller and easier to calculate. The answer will be the same.

x = (- b +/- sqrt(b^2 - 4*a*c ) / (2 a)

x = (-2 +/- sqrt(^2 - 4(1)*(5) ) / 2*1

x = (-2 +/- sqrt(4 - 20) ) / 2

X = (-2 +/- sqrt(-16) ) /2

x = (-2 +/- 4i ) / 2

x = ( - 1) +/- 2i

the winner of a raffle will receive a 21-foot outboard boat. if 2000 raffle tickets were sold and you purchased 50 tickets, what are the odds against your winning boat?

Answers

i honestly have no idea

An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defective after a year of use. It has contacted customers and asked them to return to their dealer after a year to have their transmission checked. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission

Answers

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that [tex]p = 0.2[/tex]

Sold seven trucks:

This means that [tex]n = 7[/tex]

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]

[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]

[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]

0.148 = 14.8% probability that they will need to order at least one more new transmission

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]
7D
110%
А AT
X
B
>C
Angles are not drawn to scale.
Enter

Answers

Answer:

jngijmgjim

Step-by-step explanation:

gvnjv jg

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70

Please read "The lost ship" on storyworks.

1)Read the headline. What does it suggest the article will be about?!?

2) Look at the photos or illustrations. Choose one to examine. What page or paragraph is it on? What does the picture show? What do you learn from the picture

3) Choose another photo or illustrations to examine. What page or paragraph is it on? what does the picture show? What do you learn from the picture and caption?

4) Does the article have map?

if yes, what place does it show?

Please help please please please please please please please please please.
​​

Answers

1. it suggests the article could be about the tale of a lost ship, how it became lost, or how it is doing now.
2. could you please provide a picture
3.again, we cannot see a picture
4. we cannot see if the article has a map

Name the song that goes with these lyrics
1. I was rocking off white tryna have a fun time she gone eat like lunch time molly got her on time
2. Im a first class baby u in last baby im a 90's baby but i cook that shi from the 80's
3. I know i have a purpose but ion see the purpose they tell me the death of me gone be the perkys i know the lace the ills i bought them on purpose lifes unreal when deaths uncertain

Answers

Answer:

1. I'll Be Fine - Juice Wrld

2. ON GOD - Juice Wrld

3. Rich and Blind - Juice Wrld

Make an organized list which shows all possible outcomes when four fair coins are flipped.
Each coin lands facing either heads up (H) or tails up (T).

What is the probability that at least three coins land facing tails up? Give the probability as a percent, rounded to the nearest whole number.

Answers

Answer:

0.31     (31%)

Step-by-step explanation:

answer steps attached

According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.

Answers

Answer:

D) Africa has more users than the Middle East but fewer users than North America.

Step-by-step explanation:

Hope it helps :)

HELP ASAP !!! giving out the brainliest answer !!! plsss help (has to be correct )

Answers

Answer:

b maybe

Step-by-step explanation:

I think it may be being mentally stronger trying to help you

PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.

Answers

Answer:

yxu and tux are the alternate interior angles

Step-by-step explanation:

you just go across and then the other side

so pretty much mirroring it twice

The test results for 4 students are: 96, 83, 78, and 83. If one more student's test score of 87 is added, what would increase?
A
median
B
mean
C
mode
D
range

Answers

Answer:

b

Step-by-step explanation:

4 x 5 - (2² - 2) =?
(18 ÷ 3) + (3² - 7) =?

Answers

4x5-(2 (2) - 2 ) = 14
(18/ 3) + (3 (2) - 7) 8
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