Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? (Please show simple or advance explanations - 35 points is rewarded :>)

A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)

Answers

Answer 1

The first step for factoring is 3w(x + y) - 4z(x + y). The correct option is (A).

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given algebraic expression is as below,

3wx + 3wy - 4zx - 4zy

In order to factorize it find the common factors for the group terms such that one of the factors is common for both the groups as follows,

3wx + 3wy - 4zx - 4zy

Take (3wx + 3wy) and (- 4zx - 4zy) as two groups.

The factor form for  (3wx + 3wy) is 3w(x + y).

And, for (- 4zx - 4zy) it is -4z(x + y).

Thus, the given expression can be written as,

3wx + 3wy - 4zx - 4zy

= 3w(x + y) - 4z(x + y)

Hence, first step when factoring the given expression is 3w(x + y) - 4z(x + y).

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Related Questions

is -4/2 rational irrational whole number or integer

Answers

Answer:

Yes its all of the above or jsut rational

If right please make brainleist for others to learn from this answer thanks!

Step-by-step explanation:

What is the slope-intercept formula?

Answers

Answer:

To find slope intercept, you must use the substitute term for slope, m, and then use the following equation. ↓

[tex](y = mx+b)[/tex]

Next, you want to use these terms to help you solve for b. ↓

[tex]Slope = m\\Points = x, y\\y-intercept = b[/tex]

Answer:

y=mx+b

Step-by-step explanation:

The slope intercept form is y=mx+b

M = slope

B = y-intecept

and when you substitue the numbers for the variables then you have it in slope-intercept formula

I hope it helps! Have a great day!

JellyBeanie~

In a 135-pound adult, about 94 pounds of the adult’s weight is water. What percent of the weight is water, rounded to the nearest whole percent?

help, and fast! please...

Answers

Answer:

70%

Step-by-step explanation:

94/135 = x/100
x= (94/35)*100
x= 9400/3500
x= 1880/27
x=69.629
rounded to the nearest whole percent, x=70


at a town fair it cost 9$ to enter and 1.50$ on each ride. represent this function in at least three ways

Answers

Answer:

1 2 3 ways for it to function

Step-by-step explanation:

LA=
Round your answer to the nearest hundredth.

Answers

Answer:

48.81

Step-by-step explanation:

Since we are given a right triangle, and we are trying to find a angle, we use the

SOH-CAH- TOA.

In relation to the angle, we know a side opposite of the angle and the side adjacent to the angle.

We use Tangent, which states that

[tex] \tan(x) = \frac{o}{a} [/tex]

Here the opposite side is 8

The adjacent side is 7.

[tex] \tan(x) = \frac{8}{7} [/tex]

Take the Inverse Tangent,

[tex] \tan {}^{ - 1} (( \tan(x) ) = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]

[tex]x = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]

Which gives us 48.81

Answer:

∠ A ≈ 48.81°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{7}[/tex] , then

∠ A = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{7}[/tex] )  ≈ 48.81° ( to the nearest hundredth )

Please help ASAP (30 POINTS)
NO LINKS OR BOTS IF I SEE YOU WILL GET REPORTED!
Only answer if you know for sure!

What is the overlap of Data Set 1 and Data Set 2?
a) high
b) moderate
c) low
d) none

Answers

Answer:

Low

Step-by-step explanation:

Low because it only overlaps twice.

Please help me on this it’s due now

Answers

Answer:

I don't understand the question

original price $18 and percent of discount is 65% what is the sale price

Answers

Answer:

$6.3

Step-by-step explanation:

Original price = $18

Percentage Discount = 65%

Discount = 18*65% = 18*0.65 = $11.7

Sale Price = Original price - Discount

= $18 - $11.7

= $6.3

PLEASE HELP 50 POINTS + BRAILYEST!!!
(no links please)
The triangle is the picture down below.

Bonnie has a really yummy sandwich that is shaped like a right triangle. There is a 3 in. line, a 5 in. line, and there’s another line that is unknown. How would solve this problem by using the Pythagorean theorem to find the missing length of one of the lines? Be sure to show all of your work.

Answers

Answer:

4 in

Step-by-step explanation:

Let the missing length is x.

According to Pythagorean, we have the following equation

[tex]x^2+3^2=5^2[/tex][tex]x^2+9=25[/tex][tex]x^2=25-9[/tex][tex]x^2=16[/tex][tex]x=\sqrt{16}[/tex][tex]x=4[/tex]

Answer:

Missing length = 4 in

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = 3 inb = ?c = 5 in

Substitute given values into the formula and solve for ?:

⇒ 3² + ?² = 5²

⇒ 9 + ?² = 25

⇒ ?² = 25 - 9

⇒ ?² = 16

⇒ ? = √16

⇒ ? = 4 in

What is the measure of the unknown angle?
A 72°
B 74°
C 76°
D 79°

Answers

Answer:

C. 76 degrees.

Step-by-step explanation:

n = 180 - 104

= 76.

Answer:

C

Step-by-step explanation:

a straight line is 180 degrees

so we can say that n is equal to 180 - 104

n is equal to 76 degrees

???????!:!:!:!:!:?!!!!!???!:!/!/

Answers

Answer:

Corral 4

Step-by-step explanation:

we need to divide  the area of the corral by the Number of animals In order To know the dedicated  space for each animal

Corral 1 :

(50×40)÷110 = 18.181818181818 < 20

Then it doesn’t meet the requirements.

Corral 2 :

(60×35)÷115 = 18.260869565217 < 20

Then it doesn’t meet the requirements

Corral 3 :

(55×45)÷125 = 19.8 < 20

Then it doesn’t meet the requirements

Corral 4 :

(65×40)÷130 = 20

Then It meets the requirements

Find the length of the third side. If necessary, round to the nearest tenth.
9
13

Answers

Answer:

15.8

I think there is a part of the question missing (the triangle is a right triangle)

hope this helps

+let me know if you need an explanation

Please help me ASAP

Answers

Answer:

109

Step-by-step explanation:

the sum of 37 and 72 is equal to x

proof:  

37+72 = 109

three angles of a triangle form 180 degree

to find the angle which is not given,

180 - 109  = 71

as you can see, angle with the measure 71 degree and angle x form a straight line, which means their sum is 180

so,

x = 180 - 71

x = 109

that means ,

=>    37+72 = x

=>    109 = 109            [ 37+72 = 109, x = 109]

hope this helps :)

Answer:

Option D is correct answer that is 109° .

Step-by-step explanation:

Question : -

Find the value of x in this triangle .

Given : -

Angle 1 = 37°

Angle 2 = 72°

Angle 3 = y° ( We are assuming it as y )

Angle 4 = x°

To Find : -

We have to find the value of x .

Solution : -

We know that sum of all the interior angles of triangle is equal to 180° . Then ,

Angle 1 + Angle 2 + Angle 3 = 180°

37° + 72° + Angle 3 = 180°

109° + Angle 3 = 180°

Angle 3 = 180° - 109°

Angle 3 = 71°

Therefore , Angle y = 71° .

Now , We know that Angle 3 and Angle 4 is equal to 180° because they are Linear pair . So ,

Angle 3 ( y )+ Angle 4 ( x ) = 180°

71° + x° = 180°

x° = 180° - 71°

= 109°

Therefore , value of Angle x is 109° .

#[tex] \rm{Keep \: Learning}[/tex]

Find the value:with steps please
-3/5 x 8/15 x 1/9 x -24/30​

Answers

Answer:

Step-by-step explanation:

A pet store has 4 tanks of fish. Each tank has 32 fish. How many fish does the store have?

Answers

Answer:

128

Step-by-step explanation:

32 × 4 = 128

Each tank has 32, and there are four, so 32 times 4.

The store has 128 fish in the tank.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that pet store has 4 tanks of fish. Each tank has 32 fish.

Therefore,

Total fish =  Number of fish that a tank can hold x Number of tanks

32 × 4 = 128

Hence, we get 32 for each tank, and there are four,

Thus, 32 times 4.

Learn more about multiplications;

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what is the answer forAt a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit originally cost?

Answers

Answer:

160

Step-by-step explanation:

72=0.45x

72/0.45=x

x=160

Find the values of the following expressions if a = 3,b=2,c=1,x=2 and y=0. Please answer quickly
NO LINKS Please!

Answers

Answer:

- 3

Step-by-step explanation:

a x a x a / 3 - 6 / c x c

3 x 3 x 3 / 3 - 6 / 1 x 1

9 - 6

-3 (ANS)


An settler on Mars measures the angle between the star Sero and the star Vega 3 to
be 22.4". If the Mars is approximately 93 million light years from the Sero and Vega 3
is approximately 67 million light years from the Sero (as measured by intergalactic
travelers), how far away is Vega 3 from the Mars?

Answers

The distance between Vega 3 and the Mars (MV) illustrates cosine function, and the distance is 29.1 million light years or 142.8 million light years

How to determine the distance between Vega 3 and the Mars?

From the question, we have the following parameters

Angle between Sero and Vega, Ф = 22.4Distance between Mars and Sero, MS = 93 millionDistance between Vega and Sero, VS = 67 million

See attachment for the illustration of the given parameters.

The distance between Vega 3 and the Mars (MV) is then calculated using the following cosine function

VS² = MS²+ MV² - 2 * MS * MV * cos(Ф)

This gives

4489 = 8649+ MV² -  171.96MV

Subtract 8649 from both sides

MV² -  171.96MV = -4160

Rewrite as:

MV² -  171.96MV + 4160 = 0

Using a graphing tool, we have:

MV = 29.1 and MV = 142.8

Hence, the distance between Vega 3 and the Mars is 29.1 million light years or 142.8 million light years

Read more about distance at:

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A safe's lock has a three number combination. The
numbers on the safe lock are 0 - 9. How many
combinations are possible if no number may be used
more than once?

Answers

Answer:

720 combinations

Step-by-step explanation:

Each number has initially 10 options.

If one option used for the first number then the second number has one less, 9 options. Similarly, the third number has one less number of options than the second number, 8 options.

Total number of combinations is

10*9*8 = 720

Use conversions to solve the problem. Kevin wants to edge his garden with brick. All sides are equal. The brick costs ​$6 per yard. What is the perimeter of the​ garden? How much will it cost to buy the edging he ​needs?

Answers


Answer: Perimeter: p=4-1, Total costs: C-24-1

Step-by-step explanation:

The garden has a square form. Let be / the length of any of the sides, measured in yards. The perimeter of the garden, measured in yards, is:

p=4-1

Now, perimeter has a length unit and total costs of edging the garden, measured in US dollar, is: -4-1

(65 Usd/Yard)

C 24-1
I hope this helps! :)



The model below is shaded to represent a fraction which fraction is equivalent to 2/8 in fractions

Answers

Answer:

what are the models

Step-by-step explanation:

but 4/16 and ¼ are both equivalent fractions for 2/8

What is 1748 divided by 38 can u show the work

Answers

Answer:

46

Explanation:

The given Divisor = 38 and Dividend = 1748

46
38|1748
152
228
- 228
0
The Quotient is 46 and the Remainder is 0

Please mark brainliest

I have no idea what to do here I'm really confused? I think my teacher said it was steps 2 and 3 but i dont see the issue

Answers

Answer:

Step 2-3

Step-by-step explanation:

I don't know what's wrong with step 2 but in step 3 the student added the exponent instead of multiplying.

That automatically makes every other step done afterwards wrong but it's not 3-4 because the math is right it's just that step 3 messed up step 4 laws of exponent wise.

What is the distance between (-13, 9) and (11, 2) on
a coordinate grid

Answers

Answer:

25

Step-by-step explanation:

Distance (d) = √(11 - -13)2 + (2 - 9)2

= √(24)2 + (-7)2

= √625

= 25

Answer: 25 is the answer

Step-by-step explanation:

Jori bought $150 worth of a technology ETF that they sold for
$162.60 after one year. What was their return on investment?

Answers

The return on investment is 8.40%

Which equation can be used to find the area of the parallelogram 4cm and 6cm and 10cm

Answers

1/2(a + b)h
A and b are are the 2 parallel sides
H is the height

please help me and thank you :))))​

Answers

Answer:

96

Step-by-step explanation:

Answer:

the answer of this question

is 96

PLS HELPPP IT'S ABOUT LOCUS

Answers

Answer:

Here,

First Find distance between them by using formula √+x2-x1)2+(y2-y1)2

Then use the equation and then find locus.

State whether the linear regression equation is appropriate for the data set. explain why or why not.

Answers

Answer:

  not appropriate

Step-by-step explanation:

The values in the dataset increase, then decrease with incrasing values of the independent variable. A linear regresssion equation would match data with a (more or less) constant slope. It would not be a good match for this dataset.

A linear regression equation is not appropriate.

Pls…!!!!!help…!!!I don’t get this…

Answers

The circle illustrates the theorems of angles in the same segment

The measure of angle NTS is 53°The measure of arc AB is 200°

How to determine the measure of NTS?

Given that:

∠SKA = 74°

The angle SKA is at the center of the circle.

This means that:

Arc AS = 74°

Calculate Arc SN using:

SN + AS = 180°

Substitute 74 for AS

SN + 74° = 180°

Subtract 74 from both sides

SN = 106°

The arc SN is subtended by the angle NTS.

This means that:

∠NTS = 0.5 * SN

So, we have:

∠NTS = 0.5 * 106°

Evaluate

∠NTS = 53°

Hence, the measure of angle NTS is 53°

How to determine the measure of arc AB?

Given that:

∠BCA = (7w - 4)°

∠ADB = (5w + 20)°

Angles subtended by the same arc at the circumference are congruent.

So, we have:

7w - 4 = 5w + 20

Collect like terms

7w - 5w = 20 + 4

Evaluate

2w = 24

Divide by 2

w = 12

This implies that:

∠BCA = (7 * 12 - 4)°

Evaluate

∠BCA = 80°

The measure of arc AB is then calculated using:

AB = 360 - 2 * ∠BCA

This gives

AB = 360 - 2 * 80°

Evaluate

AB = 200°

Hence, the measure of arc AB is 200°

Read more about arcs and segments at:

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