Factor x²−16 completely, SHOW STEPS PLEASE

Answers

Answer 1

Answer: (x +4)(x - 4)

Step-by-step explanation: Since x² - 16 represents the difference of two squares, it can be factored as the product of two binomials, one that has a plus in it and one that has a minus in it.

The first position in each binomial is filled by

the factors of x² that are the same, x times x.

The second position in each binomial is filled

by the factors of 16 that are the same, 4 times 4.

The answer therefore is (x + 4)(x - 4).


Related Questions

The student council sold 362 rolls of wrapping paper for a fundraiser. If they raised $4,706, what was the cost of one roll of wrapping paper

Answers

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. What will be the area of the front face of his model? 2,500 square millimeters 10,000 square millimeters 12,500 square millimeters 15,000 square millimeters

Answers

The image of the front of the tower is missing, so i have attached it.

Answer:

Option B - 10,000 square millimeters

Step-by-step explanation:

From the image attached, we see that the dimensions of the front of the tower are;

Length; L = 200 mm

Width; w = 50 mm

Now, this front face takes the shape of a rectangle.

Area of rectangle = Length x width

Thus, plugging in the values of length and width, we will get;

Area of front face = 200 x 50

Area of front face = 10,000 square millimeters

Answer:

12,500 mm^2

Step-by-step explanation:

50 x 200 = 10,000 mm

(300 - 200 = 100) 100 x 50 x 1/2 = 2,500 mm

10,000 + 2,500 = 12,500 mm^2

Solve for x in the following figure.

Answers

Answer:

x=80°

Step-by-step explanation:

supplementary angles equal 180°

∠J=80

80+x+20=180

100+x=180

x=80

Veronique and Lily compare their investment accounts to see how much they will have in the accounts after seven years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Veronique $1,000 5% 7 Once a year Lily $1,800 9% 7 Once a year A = P (1 + r) Superscript t Which pair of equations would correctly calculate their compound interests? Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9 Veronique: A = 1,800 (1 + 0.05) Superscript 7, Lily: A = 1,000 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9

Answers

Answer:

Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7

Step-by-step explanation:

the equation used to calculate future value of an investment (or bank deposit) using compound interest is:

future value = present value x (1 + interest rate)ⁿ

Veronique: future value = $1,000 x (1 + 5%)⁷ = $1,057Lily: future value = $1,800 x (1 + 9%)⁷ = $3,290.47

Answer:

the answer would be A

Step-by-step explanation:

what the person above said.

Consider circle Y with radius 3 m and central angle XYZ measuring 70°.

Circle Y is shown. Line segments Y Z and Y X are radii with lengths of 3 meters. Angle Z Y X is 70 degrees.

What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.

1.8 meters
3.7 meters
15.2 meters
18.8 meters

Answers

Answer:

3.7

Step-by-step explanation:

The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters

How to calculate the length of an arc

The length of an arc is expressed as:

L = r theta

Given the following parameters

r = 3m

theta = 70 degrees = 70π/180

L = 3(70π/180)

L = 3.7 metres

Hence the lenght of an arc is 3.7meters

Learn more on length of an arc here: https://brainly.com/question/2005046

an isosceles trapezoid is a trapezoid with congruent legs. true or false?

Answers

Answer:

true

Step-by-step explanation:

If a trapezoid has congruent legs, it is an isosceles trapezoid.

Hope this helps.

It is true, that an isosceles trapezoid is a trapezoid with congruent legs.

A statement is to justify that tells an isosceles trapezoid is a trapezoid with congruent legs.

What is geometry?

It is branch of math that pacts with the dimensions, properties, and connections of points, strings, slopes, surfaces, and solids extensively the analysis of effects of given elements that remain consistent beneath prescribed conversions.

Definition of the isosceles trapezoid, when two non-parallel sides(legs) of the trapezoid are congruent then the trapezoids can be said the given trapezoid is an isosceles trapezoid.


Thus, it is true that an isosceles trapezoid is a trapezoid with congruent legs.

Learn more about geometry here:
https://brainly.com/question/11298860

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Help meeee!!! Whats x

Answers

Answer:

74°

Step-by-step explanation:

The angle on a line = 180°

therefore:.

x + 106° = 180°

x = 180° - 106°

x = 74°

Answer: 74 degrees.

Step-by-step explanation:

Angles on the same side of a line add to 180.

The angle measure of 106 and the angle measure of x lie on the same side of the line WZ, so you can add them both to get 180:

106 + x = 180

x = 74

John made 2 quarts of juice for a school party. He said that he made 2/4 cup of juice. A. Explain John's mistake. B. How many cups of juice did John actually make?

Answers

Answer:

A. He thought 1 quart = 1/4 cup

B. actually made 8 cups of juice

Step-by-step explanation:

From conversion,

1 cup =1/4 quarts

A. John thought 1 quarts = 1/4 cup, which was his mistake

B. His 2/4 cups is actually

4*2 = 8 cups

The partial pressure of carbon dioxide in a mixture is 0.31 atm.

If the mole fraction of the carbon dioxide is 0.46, what is the

total pressure of the mixture?

Answers

Answer:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]X_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

Step-by-step explanation:

For this case the partial presure of carbon dioxide is given by:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]x_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
A. 80°
o
o
120-
B. 30°
C. 120
O O
D. 60°
SUEM MES
< PREVIOUS

Answers

Answer: The correct answer is D!!! 60

Step-by-step explanation:

The measure of the value of x from the given quadrilateral is 81 degrees.

Circle geometry

From the given diagram, the quadrilateral is inscribed in the circle.

USing the theorem; "the sum of opposite angle of a quadrilateral is 180degrees, hence;

x + 98 = 180

Subtract 98 from both sides

x + 98 - 98 = 180 -98

x = 180 - 98

x = 81 degrees

Hence the measure of the value of x from the given quadrilateral is 81 degrees.

Learn more on geometry here: https://brainly.com/question/20303542

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c(1)=-20 c(n)=c(n-1)+10 find second term

Answers

Answer:

c(2) = -10

Step-by-step explanation:

c(1)=-20

c(n)=c(n-1)+10

Let n = 2 since n indicates the term number

c(2)=c(2-1)+10

     = c(1) +10

     = -20+10

      = -10

Please help me with this question

Answers

Answer:

Either 36.35 or 16.00173

Step-by-step explanation:

the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.

IF you are supposed to use inverse cosine:

16.00173

IF NOT:

36.35182

Today, there were 2 members absent from the band. The present members folded 25 programs each, for a total of 525 programs. How many members are in the band when no one is absent…

Answers

Answer:

23

Step-by-step explanation:

225/25 = 21

21+2=23

Answer:

How many members are in the band when no one is absent?

the answer is c if you are refering to the khan academy question

Step-by-step explanation:

its from khan academy

Language arts test is worth 100 points there is a total of 26 question There are spelling words question that I wasn't points each in vocabulary words question worth five points each how much of each type of question are there

Answers

Answer: There are 10 two points and 16 five points questions.

Step-by-step explanation:

This is the detailed question:

A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?

Let y = the number of 2 points questions

Let z = the number of 5 points questions

y + z = 26 ......... i

2y + 5z = 100 ........ ii

Multiply equation i by 2

Multiply equation ii by 1

2y + 2z = 52 ......... iii

2y + 5z = 100 ....... iv

Subtract iv from iii

-3z = -48

z = 48/3

z = 16

Since y + z = 26

y = 26 - 16

y = 10

y = 10 two points questions

z = 16 five points questions

There are 10 two points and 16 five points questions.

Dave wants to sketch a scale drawing of the porch. Choose a reasonable scale and make a scale drawing of the porch. Label the demensions of the model

Answers

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

20 feet long 6 feet width

A reasonable scale and make a scale drawing of the porch could be :

1 inch =4 feet

<=> the length side: 20:4 = 5 inches

<=> the width side: 6:4 = 1.5 inches

Hope it will find you well.

does anyone know the answer to this please ?

Answers

Answer:

I think it's the first one.

What are the steps of finding the Circumference of a circle

Answers

radius squared times pie

Answer:

How to find the circumference of a circle:

Step-by-step explanation:

The circumference of a circle can be found by multiplying pi which is 3.14 by the diameter of the circleIf a circle has a diameter of 4, its circumference is 3.14 x 4 = 12.56If you know the radius, the diameter is twice as large

Hope this helps! :)

3. The measure of each inscribed
angle is equal to( )times the
measure of the intercepted arc.
a. 1/2
b. 1
c. 2

Answers

Answer: A. 1/2

Step-by-step explanation:

someone plz help it looks easy but I dont understand

Answers

Answer:

Step-by-step explanation:

(√8)²=8,2²+2²=8

√8→2 units,2 units

(√7)²=7,(√5)²+(√2)²=5+2=7

√7→√5 units,√2 units

(√5)²=5,2²+1²=5

√5→2 units ,1 unit

3²=9,2²+(√5)²=9

3→2 units,√5 units.

Suppose you have a rectangle with a perimeter of 2 cm. What can you conclude about the side lengths? Can all 4 sides of the rectangle measure a whole number of centimeters?

Answers

Answer:

Step-by-step explanation:

The formula for a perimeter of a rectangle = 2(L+B)

= 2L+2B

Where L and B are length and breadth respectively.

The question says ;

2cm = 2(L+B)

2cm = 2L+2B

Divide both sides by 2

1 = L+B

If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm

When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm

Rosia ate 1/8 of a pizza. She then split the remainder of the pizza so she could share with her friend. What fraction of the pizza did they each take home?

Answers

Answer:

7/16

Step-by-step explanation:

Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?

Answers

I think its 40ft i hope it helps

Answer: 40 feet

Step-by-step explanation:  Volume = length * width * height

then substitute Volume = 2 * 4 * 5

multiply Volume = 8 * 5

multiply again Volume = 40

hope this helps mark me brainliest if it did have a great day

Money is shared between kiera and louise in the ratio 4 :5 If £36 is shared how much does kiera recievve

Answers

Answer:

18$

Step-by-step explanation:

Answer:

£16

Step-by-step explanation:

Sum the parts of the ratio, 4 + 5 = 9 parts

Divide the money by 9 to find the value of one part of the ratio

£36 ÷ 9 = £4 ← value of 1 part of ratio, thus

4 × £4 = £16 ← Kiera's share of the money

Some insight: This is a unit rate question.

Answers

Answer:

i think is B.

Step-by-si tep explanation:

If you had to add two fractions with denominators of 4 and 5. What might the denominator of the sum be? Show more than one possibility. Use specific fraction examples.

Answers

Answer:

9

Step-by-step explanation:

what is the 7th term in the sequence 48,40, 32, 24,

Answers

Answer:

0

Step-by-step explanation:

Take the second term and subtract the first term

40-48 = -8

Take the third term and subtract the second term

32-40 = -8

The common difference is -8

We have the 4th term

24

The fifth term is

24-8 = 16

The sixth term is 16-8 = 8

The seventh term is 8-8 =0

Answer: 16

Step-by-step explanation:

The answer is 16 because you are going down by 8s

What is the value of y?

Answers

Answer:

Step-by-step explanation:

A [tex]45^\circ - 45^\circ - 90^\circ[/tex] triangle is special -- it's a square cut in half diagonally.

The legs (sides that form the 90 degree angle) are both equal.

The hypotenuse is the leg multiplied by the square root of 2.

[tex]\text{hypotenuse}=\text{side}\sqrt{2}[/tex]

So [tex]x=24\sqrt{2} \approx 33.9[/tex]

hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points

Answers

Answer:

graph b because its a parabola

Step-by-step explanation:

Answer:

Graph B does not belong

Step-by-step explanation:

All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic

3.64 divided by 60.5 ROUNDED plz answer!!!

Answers

Answer:

0.06

Step-by-step explanation:

How would you find the area of this?

Answers

the formula for it is bh , multiply 14 by 24 and the answer is 336
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