Multiply
(2x + 4)(2x - 4)

Answers

Answer 1

Answer:

4x^2 -16

Step-by-step explanation:

(2x + 4)(2x - 4)

FOIL

first:2x*2x = 4x^2

outer: -4 *2x = -8x

inner:  4*2x = 8x

last: -4*4 = -16

Add them together

4x^2 -8x+8x =-16

4x^2 -16

Answer 2

The multiplication of the expression (2x + 4)(2x - 4) is 4x² - 16.

What is the simplified form of the expression?

Given the expression in the question:
(2x + 4)(2x - 4)

We can multiply the expression (2x + 4)(2x - 4) using the distributive property and the FOIL method.

(2x + 4)(2x - 4)

Apply the FOIL method:

2x( 2x - 4 ) + 4( 2x - 4 )

Apply distributive property:

2x × 2x + 2x × - 4 + 4 × 2x 4 × - 4

Multiply the terms:

4x² - 8x + 8x - 16

Collect and add like terms:

4x² - 16

Therefore, the simplified form is 4x² - 16.

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Related Questions

The price of a Honda Civic is $26,750. You can finance this by paying $3500 down and $455 per month for 60 months. Determine the total finance charge. A. $3500 B. 3750 C. $4050 D. $5200

Answers

Answer:

Step-by-step explanation:

455 per month for 60 months = 60 * 455 = 27,300

Plus amount of down payment = 27,300 + 3,500 = 30,800

Finance charge = 30,800-26,750 = 4,050

In the figure below, APE and EPD are congruent.
What is the arc measure of BAD on circle P in degrees?

Answers

Answer:

arc BAD = 244°

Step-by-step explanation:

The sum of the angles around the centre of the circle = 360°, thus

∠APD = 360° - (136 + 74 + 42)° = 360° - 252° = 108°

The angle at the centre is equal to the arc that subtends it, thus

arc BAD = arc BA + arc AD = 136° + 108° = 244°

The requried measure of arc BAD on circle P is given as  244°.

What are the angle?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

The Arc of the whole circle measures, 2π = 360°,
Angle ∠APD is given as

∠APD = 360° - (136 + 74 + 42)°
∠APD   = 360° - 252° = 108°

The angle at the center is equal to the arc that subtends it, thus

Arc BAD = Arc BA + Arc AD
Arc BAD = 136° + 108° = 244°

Thus, the requried measure of arc BAD on circle P is given as  244°.

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Ms. Sanders put $5,200 in a savings account that pays 4.2% simple interest. Each year she withdraws the interest and treats herself to a visit to a spa. How much can she spend each year?

Answers

Answer:

$218.40

Step-by-step explanation:

i=prt

i=(5200)(.042)(1)

|5z−8|=7
can someone help me with this question I will mark you brainliest if you get the correct answer

Answers

Answer:

z=5.86666666667

Step-by-step explanation:

15z-81=7  

15z=88

15/15=88/15

z=5.86666666667

Please help me. Thank you. I appreciate it :)

Answers

Step-by-step explanation:

the answer should be 18

Answer:

Area = Big one - small one = 4 x (3 + 2 + 1) - 3 x 2 = 24 - 6 = 18 cm2.

=> Option B is correct.

Hope this helps!

:)

The figure shows the front side of a purse in the shape of a trapezoid.

What is the area of this trapezoid?

110 in²

121 in²

130 in²

220 in²

Answers

Answer:

110in2

Step-by-step explanation:

Area = (base1 + base2 ) * height /2

        = ( 9 + 13) *10 /2 = 110in2

Answers:

110in^2

Step-by-step explanation:

area pf rectangle=l×w

=9in×10in

=90in^2

area of 1st triangle

A=bh/2

=2in×10in/2

=20in^2/2

=10in^2

area of 2nd triangle=10in^2

Area of trapezoid =90in^2+10in^2+10in^2

=11in^2

HELP ME PLEASE!!

I don't understand the question...
If possible, please explain!

Answers

Answer:

SSS

Step-by-step explanation:

We know 2 of the sides are equal

The thirds side is the same length by the reflexive property since it is the same side

The triangles are congruent by SSS or the side side side postulate





The one-to-one functions g and h are defined as follows.
=g, , −7 1, , −4− 8, , 6 7 , 7− 3

=hx−2x3
Find the following

Answers

Answer:

g^−1(7) = 6

h^−1(x) = x/2 + 3/2

(h^−1 ∘ h)(3) = 3

Step-by-step explanation:

If

g(6) = 7

Then

g^−1(7) = 6

h(x) = 2x - 3

Isolate x:

2x = h(x) + 3

x = h(x)/2 + 3/2

Replace x with h^−1(x) and h(x) with x:

h^−1(x) = x/2 + 3/2

We know that:

(h^−1 ∘ h)(x) = x

then:

(h^−1 ∘ h)(3) = 3

Can someone please help me with these problems?

Answers

Answer:

number 1 is 5 inches

Step-by-step explanation:

it fits in the 15 inches 3 times.

5*3=15

What is the slope of a line PARALLEL to the graph?
b. 0
C. 3
d.
31
2
-2
0
6
В
D

Answers

Answer:

Step-by-step explanation:

hello :

this line passes trough A(1,1) and B(2,4)

the slope is :   (YB - YA)/(XB -XA)

(4-1)/(2-1)  = 3/1

the slope is  : 3.....answer : C  (parallal means : same slope)

Consider circle H below.
Y
If XY = 78 miles and mXY = 70°, then determine the radius of circle H.
Use 3.14 for pi and round your answer off to the nearest hundredths place if necessary. Type in the
number only; do not enter units.
Blank 1:

Answers

We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.

We will use arc length formula to solve our given problem.

[tex]\text{Arc length}=2\pi r\cdot \frac{\theta}{360^{\circ}}[/tex], where,

r = Radius of circle,

[tex]\theta[/tex] = Central angle corresponding to arc.

We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.

[tex]78=2\cdot 3.14\cdot r\cdot \frac{70^{\circ}}{360^{\circ}}[/tex]

[tex]78=2\cdot 3.14\cdot r\cdot \frac{7}{36}[/tex]

[tex]78= 3.14\cdot r\cdot \frac{7}{18}[/tex]

[tex]78= r\cdot \frac{21.98}{18}[/tex]

[tex]r\cdot \frac{21.98}{18}=78[/tex]

[tex]r\cdot \frac{21.98}{18}\cdot \frac{18}{21.98}=78\cdot \frac{18}{21.98}[/tex]

[tex]r=63.8762511373[/tex]

Upon rounding to nearest hundredth, we will get:

[tex]r\approx 63.88[/tex]

Therefore, the radius of circle H is approximately 63.88 miles.

You are making pudding. The recipe asks for 3/10 cup of sugar and you want to make 8/2 of the original recipe. How many cups of sugar will you need?

Answers

The answer to the question is 3

Answer:

6/5

Step-by-step explanation:

orginal recipe=8/2=4

Amt of sugar=3/10*4=12/10=6/5

Hope it helps, Pls mark as Brainliest!!!

Please help it’s timed

Answers

Answer:

y=45

x=90

Step-by-step explanation:

x is a right angle, y is vertical from 45 degrees making it congruent to it.

Answer:

C: x=90 y=45

Step-by-step explanation:

The place where x is is obviously a right angle therefore, it is 90. Then here is a diagonal line cutting through the 90 degrees in half. 90/2=45.

What is the mode of the following set of numbers: 10, 20, 30, 20, 30, 10, 30, 20, 30, 15 *
10 points
A. 30
B. 21.5
C. 25

Answers

Answer:

A. 30

Step-by-step explanation:

Because it showed up the most

Answer:

Mode is 30

Option A.

Step-by-step explanation:

Hope the rest helps if you need it :)

Which function has a domain of x>3?

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Function (c) has a domain of x ≥ 3.  (Your " >3" does not match the problem statement.)

Justification:  for x ≥ 3, the quantity under the radical sign is ≥ 0, as it must be.

What is the volume of the composite figure? Express the answer in terms of pie.
1443 mm3
1687 mm3
3127 mm3
456 mm3

Answers

Answer:

3127

Step-by-step explanation:

YES

The volume of the given composite figure is 312π mm³

Given is a composite figure, having two solids, a cone and a hemisphere,

We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,

= 1/3 π r² h + 2/3 π r³

= 1/3 π r²[h+2r]

= 1/3 π 36[12+14]

= 312 π

Hence, the volume of the given composite figure is 312π mm³

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The value of x 3y, for x = -2 and y = 3, is -24. True False

Answers

Answer:

true

Step-by-step explanation:

x^3 y when x = -2 and y = 3

(-2)^3  * 3

-8 *3

-24

This is true

i'm really struggling with this one, please help! ​

Answers

Answer would be e, working out for polynomial division shown on photo
Answer: E
hope this help

Find the surface area of the figure. Round to the nearest hundredth.

Answers

SA of half of this cylinder:

1/2*2pi(3)^2+1/2*2pi*3*25

9pi+75pi

84pi cm^2 OR 263.89 cm^2

Which is 34,513 closer to, 35,000 or 34,000?

Answers

Answer:

35,000

Step-by-step explanation:

~Because it's over 500~

Answer: 35000

Step-by-step explanation: 34,513 use the rule of rounding 5 or more add one more = 35000

Esperanza decided to purchase a vehicle with a 15999 MSRP at a 4% interest rate for 6 years the dealership offered her a 1700 cash-back incentive what she accepted taking all these factors into consideration what monthly payment amount can she expect​

Answers

Answer:

$223.71

Step-by-step explanation:

We are given the following information

Manufacturer's suggested retail price (MSRP)=$15999Cash-back incentive=$1700Annual Interest Rate=4%=0.04Loan Duration=6 years

We use the loan repayment formula

Monthly Payment, [tex]A=\dfrac{P*r(1+r)^n}{(1+r)^n-1}[/tex]

Where:

Loan Amount, P=15999-1700=$14,299Monthly Interest Rate, r=0.04/12Total Number of Months, n=12 X 6 =72 Months

[tex]A=\dfrac{14299*\frac{0.04}{12}(1+\frac{0.04}{12})^{72}}{(1+\frac{0.04}{12})^{72}-1}\\=\$223.71[/tex]

Esperanza can expect to pay $223.71 monthly.

NEED HELP IM ON A TIMED TEST

The face of this spinner is divided into twelfths. If the spinner is spun twice, what is the probability that the arrow will stop on blue both times? Write the answer as a reduced fraction

Answers

Answer:

3/12

Step-by-step explanation:

because because blue is on the spin wheel 3 out of 12 times and 3 is as reduced fraction as you could get because it's odd

A scale drawing of a room is shown below. In the drawing, the room is 7 1/2 inches long and 5 inches wide. What is the actual area of the room? Please help

Answers

Answer:

I believe the answer is 37.5 (37 1/2)

Step-by-step explanation:

First you convert 7 1/2 to a decimal to make it easier (7.5) then multiply 7.5 by 5 to get 37.5 , then you convert that back to fraction which would be 37 1/2

Hope this helps!!

The area of the room is 150 square ft if the room is 7 1/2 inches long and 5 inches wide, option third is correct.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have length of the room = 7 1/2 = 15/2 inches

Width of the room = 5 inches

Area of the room = (15/2)(5) = 75/2 square inches

Scale: 1/2 in = 1 ft

1/4 square inches = 1 square ft

1 square inches = 4 square ft

= (75/2)×4

= 150 square ft

Thus, the area of the room is 150 square ft if the room is 7 1/2 inches long and 5 inches wide, option third is correct.

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"Julie has six photos that she has taken, framed and are hanging in a row on the wall. If she wants to rearrange them so that the middle two photos stay in place, how many different ways can she arrange the photos?"

Answers

Answer:

Julie has 6 photos that she wants to rearrange.

Two of them are fixed at the middle position.

=> There are 4 photos left for rearranging.

=> This is the permutation with n = 4, k = 4.

=> The number of ways Julie can arrange the photos:

    N = 4 x 3 x 2 x 1 = 24 ways

Hope this helps!

:)

PLEASE HELP!! (two questions, will give brainliest to best answer)
(Image below)

c) Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shape of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle? (2 points)

d) The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain. (2 points)

Answers

Answer:

yes, the corner is at a 90 angle

Step-by-step explanation:

Answer:

It is a right triangle.

Step-by-step explanation:

We know that 5, 4 and 3 is a Pythagorean Triple. In this instance, however, the Hypoteneus is 50, with the other sides being 40 and 30. This is simply the Pythagorean triple but ×10 larger.

You can also check this by:

50²= 30²+40²

---------------------------------------

Therefore, if the side-lengths is a Pythagorean triple, then the figure is a right triangle.

please help!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=3

Step-by-step explanation:

set up the equation

(8x-3)=(5x+6)

then solve for x by adding 3 on both sides and subtracting 5x from both sides to get x by its self

you end up with

3x=9

divide 9 by 3 and theres your answer

x=3

I’m pretty sure it is X=3

To multiply two fractions, multiply the numerator by the numerator
and the denominator by the
RETRY

Answers

Answer:

multiply the numerator by the other numerator and denominator by the other denominator

1/2×2/4=2/8=1/4

HOPE YOU FOUND IT HELPFUL , PLEASE MARK AS BRAINLIEST

you multiply the denominator by the denominator

What is the answer to this question?

Answers

Answer:

72

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

AC =
Round your answer to the nearest hundredth.
4

Answers

4 rounded to the nearest hundred is 0 !

Math question down below

Answers

Answer:

E

E is the only one that ends with 70 and is also all multiples of 6.

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