which of the following could be factored by grouping?
a. wy+wz+xy-xz
b. wy+yz-wx+yz
c. wy+wz+xy+xz
d. wx+wz-wy+wv

Answers

Answer 1

Answer:

wy+wz+xy+xz

Step-by-step explanation:

Answer 2

C.) wy+wz+xy+xz  could be factored by grouping.

What is factorization by grouping?

Method of factorization by grouping the terms:

(i) From the groups of the given expression a factor can be taken out from each group.

(ii) Factorize each group.

(iii) Now take out the factor common to group formed.

= wy + wz + xy + xz

= w(y+z) + x(y+z)

= (w+x)(y+z)

Learn more about factorization by grouping here

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Related Questions

which expressions are equivalent to the one below? Check all that apply.
[tex]8^x[/tex]

A. x^4
B. 8 * 8^x+1
C. (32/4)^x
D. 8 * 8^x-1
E. 32^x/4^x
F. 32^x/4

AP_EX - Algebra II

Answers

Answer:

The right answers are C, D and E

Help and Plz make sure it’s right

Answers

Answer:

8.6

Step-by-step explanation:

Use the pythagorean therom for this

(5.9)^2 + (6.3)^2 = c

c= 74.5

square root of 74.5 is 8.631 or 8.6

hope this helps

A statue of George Washington is also in Druid Hill Park. If a girl stands 15 m away from the statue, and places a mirror 12 m from the statue (3 m from her feet), she can see the top of the statue in the mirror. The girl's height is 5.5 ft. How tall is the statue?

Answers

Answer:

The statue is 22ft tall.

Step-by-step explanation:

Here we will have two similar triangle rectangles.

One is made between the girl's feet, the mirror, and the girl's eyes.

So in this case the catheti are:

the distance between the girl and the mirror (3 m) and the height of the girl (5.5 ft)

The other triangle rectangle has the vertices:

The mirror, the base of the statue, and the top of the statue.

Such that the catheti of this triangle are the distance between the base of the statue and the mirror (12m) and the height of the statue (we want to know this, let's call this X for the moment).

Because the triangles are similar, this means that there is a proportionality constant between each correspondent side, let's call this k.

Then the distance between the girl and the mirror must be k times the distance between the base of the statue and the mirror:

3m = k*12m

And the height of the girl must be k times the height of the statue.

5.5ft = k*X

You can see that we have different units, this does not matter because k is a dimensionless constant.

With the first equation we can find the value of k

3m = k*12m

3m/12m = k

(3/12) = 1/4 = k

Now we can replace this in the other equation to get:

5.5ft = (1/4)*X

Solving this for X we get:

(5.5ft)*4 = X

22ft = X

The height of the statue is 22ft.

Solve For X
5X + 30 = 110

Answers

Answer:

Your answer would be:

[tex]x=6[/tex]

Step-by-step explanation:

[tex]5x + 30 = 110[/tex]

[tex]5x + 30 - 30 = - 30[/tex]

[tex]5x = 80[/tex]

[tex]x = 16[/tex]

Hope this helped! UwU

5x+30=110
-30. -30
5x 80
5. 5
X=16

Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

No

Step-by-step explanation:

None of the angles in the two triangles match, so it is impossible for them to be congruent.

Manuel incorrectly claimed that the surface area of the cylinder

shown is about 621.7 in.. Use a formula to find the surface area of the cylinder.

Use 3.14 for it. What was his likely error?

11 in

The surface area of the cylinder is about

(Round to the nearest tenth as needed.)

Answers

Answer:

25.9%

Step-by-step explanation:

Since, the actual dimensions of the cylinder is not given we can assume the some dimension to explain the problem

Let us assume the dimension of the cylinder be

radius= 3in

height= 5 in

The expression for the total surface area of a cylinder is

T. S. A. =2πrh+2πr^2

Let us plug in the values to to find TSA

T. S. A. =2×3.14×3×5+2×3.14×3^2

Solving we get

T. S. A. =94.26+56.556

T. S. A. =150.816 in^2

Now let us find the error

we know that error % is calculated as

%error= [actual value-expected value/expected value]×100

%error= [190 -150.816/150.816]×100

%error= [39.184/150.816]×100

%error= 0.259×100

%error= 25.9%

9 less than 4 times a number equals 15

Answers

Answer:

if you wanted it in equation form the it'll be :  9 < 4 x n = 15

~ i hope this has helped you out, have a gr8 day/night my friend!~

Step-by-step explanation:

Answer:

Six / 6

Step-by-step explanation:

Fifteen less than 4 times a number is 9, meaning we have to find the number.

Let the required number be x

4 times the number = 4x

15 less than 4 times the number = 4x-15

⇒ 4x – 15 = 9

⇒ 4x = 9 + 15

⇒ 4x = 24

⇒ x = 6

meaning the number is 6.

Hope this helps!

PLISSSSSSSSSSS HELPPPPPPP..............................

Answers

The answer you are looking for would be 9.
I hope this helps! Any questions please comment and I will try to give clarification!

Answer:

it would be 9 cause with start counting the 7- to 2 its gonna be nine

Step-by-step explanation:

Ellane plan to interview some applications for positions in her office she scheduled a 1/4 of an hour to meet each of them how much time did she schedule for all six appliances

Answers

Answer:

1 1/2 hours

Step-by-step explanation:

To determine the time she would spend on 6 applicants, multiply the time she spends on each applicant by the total number of applicants

1/4 x 6 = 6/4 = 1 2/4 hours

to convert to its simplest form, divide both numerator and denominator by 2. this gives 1 1/2 hours

Another method

Add 1/4 six times

1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 6/4 = 1 2/4 = 1 1/2 hours

BRAINLIEST!!!! PLZZZZ SEE BELOW!!!

Answers

Answer:

b. 0.25

Step-by-step explanation:

40 + 120 = 160

40 / 160

Tell whether x and y show direct variation, inverse variation, or neither.

y-3 = 22

the variables show: (inverse variation, direct variation, or neither)

Answers

Answer:

thWhat is c hw wrin hd dont know if I know what x is to find the answer

What is the volume of a sphere with a diameter of 4.9 cm, rounded to the nearest
tenth of a cubic centimeter?

Answers

Answer:

492.87cm^3

Step-by-step explanation:

Given data

Diameter= 4.9cm

The expression for the volume is

V= 4/3 πr^3

Substitute

V= 4/3*3.142*4.9^3

V= 4/3*3.142*117.649

V=1478.612632 /3

V=492.87 cm^3

Hence the volume is 492.87cm^3

You Try: Solve for x and y by using elimination. 4x + y = 7 4x - 2y = -2​

Answers

Answer:

[tex]\boxed {\boxed {\sf (1, 3) \ or \ x=1 \ and \ y=3}}}[/tex]

Step-by-step explanation:

We are given this system of equations:

[tex]4x+y=7\\4x-2y=-2[/tex]

We use elimination to solve to eliminate one of the variables, so we only have to work with one at a time. We do this by adding and subtracting the equations, and sometimes multiplying the entire equation by a number.

Notice how both equations have a 4x. This means they can easily be eliminated, without multiplying the equations by another number first. Let's subtract the 2 equations.

[tex]\ \ \ 4x+y=7\\ -(4x-2y)=-2[/tex]

The 4x will cancel because 4x-4x=0.

[tex]\ \ \ \ y=7 \\ - (-2y) = -2[/tex]

Since there are back to back negative signs, they become addition signs.

[tex]\ \ \ \ y=7 \\+2y=2[/tex]

[tex]3y=9[/tex]

We are solving for y , so we must isolate the variable. It is being multiplied by 3 and the inverse of multiplication is division. Divide both sides by 3.

[tex]3y/3=9/3\\y=3[/tex]

Now we can substitute 3 in for y in the original equations. Let's use the first one.

[tex]4x+y=7\\4x+3=7[/tex]

3 is being added to 4x. The inverse of addition is subtraction. Subtract 3 from both sides.

[tex]4x+3-3=7-3\\4x=4\\[/tex]

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

[tex]4x/4=4/4\\x=1[/tex]

x is equal to 1 and y is equal to 3. Coordinate points are written as (x, y). The solution to this system of equations is (1, 3).

Work out the area of a rectangle with base,
b
= 26mm and perimeter,
P
= 70mm

Answers

Step-by-step explanation:
perimeter =2(l+b)
70=2(l+26)
70=2l+52
70-52=2l
18=2l
l=9
length =9
length *breadth =9*26
= 234
area = 234

Please help! Describe how the variables in the given equation are related.[tex]p=\frac{kqrt}{s}[/tex]

Answers

9514 1404 393

Answer:

  p is proportional to q, r, t, and inversely proportional to s

Step-by-step explanation:

Assuming k is a "constant of proportionality," the value of p is directly proportional to each of the numerator variables: q, r, t. P is inversely proportional to the denominator variable, s.

54x x 654v = 43695v solve for v

Answers

Hopes this helps if it don’t then I am so sorry:

Answer: 0

In ΔDEF, the measure of ∠F=90°, FD = 3.3 feet, and DE = 3.9 feet. Find the measure of ∠D to the nearest degree​

Answers

Answer:

the awnser is 30 degrees

Step-by-step explanation:

You have to look at your d ruler between different angles

The answer is 30 degrees

Solve the question in the picture below. Thank you.

Answers

The answer is 8 units. Hope this helps:)

Answer:

8 units

Step-by-step explanation:

Find the distance along the y-axis. For the example points (3,2) and (7,8), in which (3,2) is Point 1 and (7,8) is Point 2: (y2 - y1) = 8 - 2 = 6. This means that there are six units of distance on the y-axis between these two points. Find the distance along the x-axis. Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

Which expression is equivalent to `7+10x+x-3?`

Answers

Answer ..........
11x+4

PLEASE helppppp me
I’ll give brainlest or whatever it’s called btw

Answers

Answer:

30.5 i think

Step-by-step explanation:

plz let me know if wrong!

Answer:

Step-by-step explanation:

the angles are equivalent, so set them equal to each other

4x + 2 = 124

    - 2      - 2

4x = 122

/ 4     / 4

x = 30.5

f(x) = 3 x e^2x
That's the problem​

Answers

Answer:

6 e (*2)x

Step-by-step explanation:

i hope this helps and the 2 is a square unit

Answer:

y = 0

Step by step explanition:

There are 90 students in the school band. 40% of them are sixth graders. How many band members are sixth graders?

Answers

Answer:

36

Step-by-step explanation:

.4 x 90

Answer:

36

Step-by-step explanation:

40/100 = x/90

100x div 100         3600div 100

             x  =  36

N artist makes three types of ceramic statues (large, medium, and small) at a monthly cost of $760 for 210 statues. The manufacturing costs for the three types are $5, $4, and $3. If the statues sell for $26, $18, and $15, respectively, how many of each type should be made to produce $3,640 in monthly revenue?

Answers

Answer:

20, 90 and 100

Step-by-step explanation:

Total number of statues = 210

Assuming that a large statue = x, medium statue = y and a small statue = z

Then, x + y + z = 210........i

Also, we're told that the monthly cost is $760, so

5x + 4y + 3z = 760.........ii

Cost of selling is $3640, so then

26x + 18y + 15z = 3640.........iii

Solving i and ii simultaneously, we have

5x + 5y + 5z = 1050

5x + 4y + 3z = 760

Subtracting, we have

y + 2z = 290.........iv

Again, solving ii and iii simultaneously, we have

130x + 104y + 78z = 19760

130x + 90y + 75z = 18200

On subtracting, we have

14y + 3z = 1560.........v

And finally, solving iv and v simultaneously, we also have

14y + 28z = 4060

14y + 3z = 1560

On subtracting,

25z = 2500

z = 2500 / 25

z = 100

Substituting for z = 100 in iv, we have

y + 2(100) = 290

y + 200 = 290

y = 290 - 200

y = 90

Substituting for y = 90, and z = 100 in i

x + 90 + 100 = 210

x + 190 = 210

x = 210 - 190

x = 20

Therefore, large statues has to be 20, medium statues has to be 90, and small statues has to be 100

Determine the equation of the line. (slope intercept form)

Answers

Answer:

y=x-4

Step-by-step explanation:

y=mx+b

m : slope : 1

b : y-int : -4

What is the measure of angle C

Answers

Answer:

41

Step-by-step explanation:

In order to find the measure of angle C we must find the value of x

Remember the measures of the angles in a triangle add up to equal 180

that being said we use this equation to solve for x

180 = (sum of angles) 63 + 2x + 8 + x + 7

now we solve

step 1 combine like terms

63 + 7 + 8 = 78

2x + x = 3x

now we have 180 = 78 + 3x

step 2 subtract 78 from each side

180 - 78 = 102

78 - 78 cancels out

now we have 102 = 3x

step 3 divide each side by 3x

102/3=34

3x/3=x

we're left with x = 34

Now to find the measure of angle C

We plug in the value of x in the expression (x + 7)

so c = 34 + 7

34 + 7 =  41

therefore your answer is 41

Julius is at point A He moves 3 units to the left and 2 units down from his
location and picks up a baill What are the coordinates of the points from where
he picked up the ball?

Answers

Answer:

(8, 10)

Step-by-step explanation:

He is at (11, 12). He moves three to the left, so 11 - 3 = 8. He then moves two down. 12 - 2 = 10. Therefore, he is at point (8, 10).

You bought 7 raffle tickets. A total of 1302 raffle tickets were sold. If every raffle ticket has an equal chance at winning, what is your probability of not winning?

Answers

Answer:

the probability of not winning is 0.9946

Step-by-step explanation:

The computation of the probability of not winning is shown below:

The Probability of winning is

= 7 ÷ 1302

So, the probability of not winning is

= 1 - 7 ÷ 1302

= (1302 - 7) ÷ 1302

= 1295 ÷ 1302

= 165 ÷ 186

= 0.9946

Hence, the probability of not winning is 0.9946

The same is considered

For brainiest :):):):):):)):):):)

Answers

Answer:

9) 0.46

10) 0.666

11) 18%

12) 2.3%

13) 0.7/ 70%

14) 0.56/ 56%

15) 0.0035/ 0.35%

16) 1.13/113%

Step-by-step explanation:

Can someone help me plzzz and thank you

Answers

Answer:

Yes SAS

Step-by-step explanation:

2 sides are the same

1 90 degree angle for each triangle

Hence the Answer Side-Angle-Side

a) 5√160=
b) √245=
c) 3√72=
d) √50=
e) √18=
e) 4√243=
f) 3√576 =
g) √300=

Answers

Answer:

a) 20[tex]\sqrt{35}[/tex]

b) 7[tex]\sqrt{5}[/tex]

c) 18[tex]\sqrt{2}[/tex]

d) 5[tex]\sqrt{2}[/tex]

e) 36[tex]\sqrt{3}[/tex]

f) 72

g) 10[tex]\sqrt{3}[/tex]

Step-by-step explanation:

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