(4pq+3q)² - (4pq - 3q)²​

Answers

Answer 1

Answer:

48pq².

Step-by-step explanation:

(4pq+3q)² - (4pq - 3q)²​

This is the difference of 2 squares so we can use the identity

a^2 - b^2 = (a - b)(a + b):

(4pq+3q)² - (4pq - 3q)²​

= (4pq + 3q - (4pq - 3q)(4pq + 3q + (4pq - 3q)

= (4pq + 3q - 4pq + 3q)(4pq + 3q + 4pq - 3q)

= 6q * 8pq

= 48pq².

Answer 2

Answer:

48pq²

Step-by-step explanation:

As we know,

(a + b)² = a² + 2ab + b²

and

(a – b)² = a² – 2ab + b²

So,

(4pq+3q)² - (4pq - 3q)²​

= [(4pq)² + 2 X 4pq² X 3q + (3q)²] – [(4pq)² -  2 X 4pq² X 3q + (3q)²]

= (16p²q² + 24pq²+ 9q²) – (16p²q² – 24pq²+ 9q²)

= 16p²q²+ 24pq²+ 9q² – 16p²q²+ 24pq² – 9q²

= 24pq² + 24pq²

= 48pq²


Related Questions

find the area of the figure below

Answers

Answer:

I think the answer would be 3,200

Step-by-step explanation:

The perimeter of an equilateral triangle is 57 feet. What is the length of one of its sides? ​

Answers

Answer:

19 feet, 5.7912 m

Step-by-step explanation:

perimeter=3à

57=3a

57/3=a

19=a

Mark me brainliest

Round 8.157 to the nearest hundredth.

Answers

Answer:

I believe the answer is 8.16 pardon me if it's wrong.

Answer:

8.18

Step-by-step explanation:

First, note that 8.175 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 8

Fractional Part: 175

To round 8.175 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part.

We use the following rules to round 8.175 to the nearest hundredth:

A) If the last digit in the fractional part of 8.175 is less than 5, then simply remove the last the digit of the fractional part.

B) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.

C) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.

D) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00.

With 8.175, rule B applies and 8.175 rounded to the nearest hundredth is:

8.18

HELP ME WITHS THIS PLEASE, I TRIED DOING IT BUT I can’t

Answers

Answer:

are you sure

Step-by-step explanation:

Answer:

Put an X on D, C, and F

G= 256

A=20

B=560 ( I'm not too sure)

H= 6

E= (I'm sorry I cant do E I have to go)

Step-by-step explanation:

What is the length of each segment?
Segment AB: from A(-2,1) to B(-2, 5)

Answers

Answer:

[tex]length = \sqrt{ {( - 2 - ( - 2))}^{2} + {(5 - 1)}^{2} } \\ = \sqrt{16} \\ = 4 \: units[/tex]

Answer:

4 units

Step-by-step explanation:

The temperature in a room begins at 70°F and decreases at a rate of 8 F per hour. Which of the following tables represents this situation? ​

Answers

Answer:

B

( temp starts at 70 and DECREASES 8 per HOUR )

hey! please help i’ll give brainliest

Answers

Answer: A goverment by people

Step-by-step explanation:

What is the slope of the line? PLEASE PLEASE HELP FAST!

Answers

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (1, 2) ← 2 points on the line

m = [tex]\frac{2-0}{1-0}[/tex] = [tex]\frac{2}{1}[/tex] = 2

The sum of the interior angles of the 10-sided polygon on the left is °

Answers

Answer:

1440 it is right because

Step-by-step explanation:

Decagon is a 10-sided polygon.

Formula to find the sum of interior angles of a n-sided polygon is  

=  (n - 2) ⋅ 180°

By using the formula,  sum of the interior angles of the given decagon (10-sided polygon) is  

=  (10 - 2) ⋅ 180°

=  8 ⋅ 180°

=  1440°

Answer:

The answer is indeed 1440.

Step-by-step explanation:

Somebody help me with this

Answers

Answer:

D s>350000

Step-by-step explanation:

The difference in base salary is 7,000 (45,000-38,000). To earn an additional 7,000, sales must be at least 350,000.

350000 x.02 (2% commission) is 7,000

Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 12)(0,12) and (3, 6144)(3,6144).

Answers

Answer:

y1 = abx1 and y2 = abx2

Step-by-step explanation:

Which of these expressions represents the product of t and 13
A. 13- t
B. 13t
C. 13+ t
D. 13 divided by t

Answers

Answer:

B is your answer for your math problem

calculate the surface area of the rectangular prism to the tenth of a square centimetre

Answers

Answer:

A=152.32 cm^2

Step-by-step explanation:

A=2(wl+hl+hw)

A=2(6.8*3.4+5.2*3.4+5.2*6.8)

A=2(23.12+17.68+35.36)

A=2(76.16)

A=152.32

Can somebody please help me

Answers

Answer:

39

Step-by-step explanation:

78/2 = 39

find an equivalent value to cos 18°

A) sin 18°
B) cos 72°
C) sin 72°
D cos 162°

Answers

Answer:

C) sin 72 degrees

Marking brainliest!

Don’t use the internet pls!

Answers

I would say based on Lincoln's success and that Lincoln helped inspire Martin. Lincoln won the Civil War which helped open the minds of other people who were pro-slavery so that's what I mean about the success.

1. Mary noticed 5 ants in her pantry on Monday. On Tuesday she counted 15 ants in the pantry. On Wednesday she counted 45 ants in the pantry,

Day Ants

Monday 0 5

Tuesday 1 15

Wednesday 2 45

Part A Determine an exponential function model (y=ab) to represent the number of ants in the pantry in terms of the number of elapsed days. Explain how you arrived at your model.

Part B Does the problem situation represent exponential growth or decay? Justify your reasoning.​

Answers

so what is really the answer?

Si a una persona le deben 7/9 de $450000 y sólo le cancelan 3/5 de esa deuda. ¿Cuánto dinero le quedan debiendo?

Answers

Answer:

$140,000

Step-by-step explanation:

Paso 1

Si a una persona le deben 7/9 de $ 450,000

La cantidad que se le debe a la persona se calcula como:

7/9 × $ 450,000

= $ 350,000

Paso 2

Solo se cancela 3/5 de esa deuda.

El monto de la deuda que se cancela se calcula como:

3/5 × $ 350,000

= $ 210,000

Paso 3

Por lo tanto, la cantidad de dinero que debe se calcula como:

$ 350,000 - $ 210,000

= $ 140,000

Determine the equation of the line parallel to the line y=34x+2
y=3/4x+2 that passes through the point (4, -3).

Answers

Answer:

y = 34x - 139 (y = 34x + 2)

y = [tex]\frac{3}{4}[/tex]x - 6 (y = 3/4x +2)

Step-by-step explanation:

(I'm not sure if the two equations were the same or not, but I provided the answers just in case.) Parallel lines are two lines that have the same plane and slope but never intersect. To find the equation, use the formula y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex])

Can someone help me out with the last three, will mark as brainliest if correct!

Answers

Answer:

x = 65

y = 71

z = 44

Step-by-step explanation:

y = 71 because If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent

On a coordinate plane, triangle A B C has points (negative 1, 2), (negative 1, negative 1), (2, negative 1). Given △ABC, use a dilation with the center at the origin to make a similar triangle with side lengths three times as large. What are the coordinates of C' of the image? (–6, 3) (–3, 6) (3, –6) (6, –3)

Answers

Answer:

D

Step-by-step explanation:

Answer: (6, -3)

Step-by-step explanation: just did the assignment on edge

How can I find the area of the shaded area?​

Answers

I don’t know I thought I did

Could use sum help please

Answers

Answer:

I need help with the same thing-

Step-by-step explanation:

A car travels 60 miles in 50 minutes. Calculate the average speed of the car in mph.

Answers

Average speed: 72 mph
Explanation:
To get the car's average speed, all you really need to know is
the total distance travelled by the car
the total time it needed to cover that distance
In your case, you know that the car travelled for a total of 60 miles and that it needed 50 minutes to do so.
Since you need to express the average speed in miles per hour, not miles per minute, you're going to have to use a simple conversion factor to get you from minutes to hours.
First, calculate the average speed in miles per minute
v
avg
=
d
total
t
total
v
avg
=
60 miles
50 minutes
=
1.2 mi/min
Now convert this value to miles per hour
1.2 miles
1
minute

60
minutes
1 hour
=
72 mph

Answer:

1.2mph

5x10=50

so it 1

if 2x5=10=.2

then 2x5=10+50=1.2 due to the .1=5

or just do 60/50=1.2

Step-by-step explanation:


A 300-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
The shorter piece is
inches long

Answers

Answer:

60 inches

Step-by-step explanation:

The length of shorter piece is = 1/5 × 300 = 60 inches

Find the surface area of the cone. h = 12 ft, r = 5ft, l = 13 ft

Answers

Answer:

total surface area is 267.14

Answer:

90π ft^2.

Step-by-step explanation:

SA = πr(r + l)

= 5π(5 + 13)

= 90π

PLEASE HELP ME LOL (with the word problem in the picture)

Also don’t put the answer in a link

Answers

Answer:212

Step-by-step explanation:

Answer:

It is 278cm

Step-by-step explanation:

Add 220cm and 58cm

I need help on this

Answers

Answer:

1200

Step-by-step explanation:

Step 1 convert pounds to ounces

1 pound = 16 ounces

So to convert pounds to ounces we multiply by 16

1500 * 16 = 24000

So there are 24000 ounces in 1500 pounds

Step 2 Find how many 20 ounce containers he can fill.

To find out how many 20 ounce containers he can fill we divide the total amount of ounces of butter that he has by 20

So answer = 24000/20

24000 / 20 = 1200

Therefore he can fill 1200 20 - ounce containers

What is the mean of 53,13,34,41 26,61,34,13,69?

Answers

the mean is 38.2
the 2 is repeating

Two forces of 960 pounds and 670 pounds act simultaneously on an object. The angle between the two forces is 34 degrees find the magnitude of the resultant to the nearset tenth.

Answers

Answer:

1561

Step-by-step explanation:

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