Factorise the expression (c+2d)^2-(c+2d)(3c-7d)

Answers

Answer 1

Answer:

 (c + 2d) • (9d - 2c)

Step-by-step:

Step  1  :

Equation at the end of step  1  :

 ((c + 2d)2) -  (c + 2d) • (3c - 7d)

Step  2  :

Pulling out like terms :

2.1      Pull out     c+2d

After pulling out, we are left with :

     (c+2d) • ( (c+2d) +( (-1)  *  (3c-7d) ))

Answer 2

Answer:

(c+2d)(9d - 2c) = [tex]5dc - 2c^{2} + 18d^{2}[/tex]

Step-by-step explanation:

[tex](c+2d)^{2} - (c+2d)(3c-7d)[/tex]

[tex](c+2d)(c+2d) - (c+2d)(3c-7d)[/tex]

Both sides have (c+2d) so pull out (c+2d)

Rule: a.b + a.c = a(b+c)Rule: a.b - a.c = a(b-c)

(c+2d) [(c+2d) - (3c-7d)]

(c+2d) [c+2d - 3c +7d]

(c+2d) [-2c + 9d] = (c+2d)(9d - 2c)

Rule: (a+b)( c + d) = ac + ad + bc + bd ==> Foil method

(c+2d)(9d - 2c) = [tex]9dc - 2c^{2} + 18d^{2} -4dc[/tex] = [tex]5dc - 2c^{2} + 18d^{2}[/tex]

Hope this helps ^-^


Related Questions

4
Type the correct answer in each box.
If 4 pounds of sugar cost $2, the cost of 1 pound of sugar is $
and the cost of 10 pounds of sugar is $
Reset
Next

Answers

Answer:50 cents. $5

Step-by-step explanation: each pound of sugar costs 50 cents. you can find that out by dividing the amount of sugar you have by the cost.

1 pound of sugar cost $0.5
That’s mean 5 cent
And 10 pounds of sugar is $5

A cone is cut by a plane as shown, parallel to the base. The cross-section of the cone and the plane is...

Answers

Answer:

a circle

Step-by-step explanation:

parallel to the base meaning that it has to be parallel to the circle on the bottom of the base.  Picture yourself cutting the cone where the plane is and see what shape that is.  It's a circle

solve for x
4(2x-1)= 3x-19

Answers

X=-3
This is the answer

Answer:

x = -3

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 4 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

4 ( 2x - 1 ) = 3x - 19

→ Expand the brackets

8x - 4 = 3x - 19

→ Minus 3x from both sides to isolate -19 and bring all the x coefficients to one side

5x - 4 = -19

→ Add -4 to both sides to isolate 5x

5x = -15

→ Divide both sides by 5 to isolate x and therefore find the value of x

x = -3

→ We can substitute x = -3 back into 4 ( 2x - 1 ) = 3x - 19 to see if we have the correct solution, if we end with the same number on both sides then  x = -3 is correct.

4 ( 2x - 1 ) = 3x - 19

8x - 4 = 3x - 19

( 8 × -3 ) - 4 = ( 3 × -3 ) - 19

-24 - 4 = - 9 - 19

-28 = -28

So x = -3 is correct

PLEASE HELP!!

Howard has been asked to draw a map of the Federalist Triangle in Washington, D.C. (pictured below) The actual
Federalist Triangle has a base of 3000 ft. and a height of 1200ft. On Howard's map the base of the triangle is 10
inches. What should the height of the triangle be?

A. 2 inches
B. 4 inches
C. 6 inches
D. 8 inches
E. There is not enough information to determine​

Answers

The answer would be B - 4

Find the measure of angle RQS.

Answers

Answer:

137°

Step-by-step explanation:

Because the minor arc formed by ∠SQT has a degree measure of 43, we know that ∠SQT is 43°. Because ∠RQS and ∠SQT are supplementary, ∠RQS = 137°

I think 137 Degrees

A tennis racquet costing $11.39. If Logan received $5.63 in change, how much money did he give to the cashier? $ Submit Continue Sorry, incorrect... The correct answer is: Got it Explanation review You answered: Got it Learn with an example question Back to practice Questions answered

Answers

Answer:

$17.02

Step-by-step explanation:

11.39 + 5.63 = 17.02

Answer:

The asnwer will be $17.02..........................................

Step-by-step explanation:

bc i have to ask a productive question what is ROYGBIV?

Answers

Answer:

you thicc????

Step-by-step explanation:

What scenario could be modeled by the graph below?

A. The number of pounds of apples, y, minus two times the number of pounds of oranges, x, is at most 5.
B. The number of pounds of apples, y, minus half the number of pounds of oranges, x, is at most 5.
C. The number of pounds of apples, y, plus two times the number of pounds of oranges, x, is at most 5.
D. The number of pounds of apples, y, plus half the number of pounds of oranges, x, is at most 5.

Answers

Answer:

I would believe that it is A.

Step-by-step explanation:

The fact that A has 5, and x is minus two times, 5/2= 2.5, and that is where the second arrowhead is pointing to on the x axis.

The number of pounds of apples, y, minus two times the number of pounds of oranges, x, is at most 5 which is correct option (A).

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is a Linear Function?

A linear function is defined as a function in the form of f(x) = mx + bc where 'm' and 'c' are real numbers.

It represents the line's slope-intercept form, which is written as y = mx + c.

This is because a linear function represents a line, i.e., its graph is a line. Here,

'm' is the slope of the line

'c' is the y-intercept of the line

'x' is the independent variable

'y' (or f(x)) is the dependent variable

According to given graph,

A has a value of 5, and since x is negative two times, 5/2=2.5, which is where the second arrowhead on the x axis is pointing.

So, the total  number of the pounds of apples, y minus two times, and the pounds of oranges, x, equals at most five pounds.

Hence, the number of pounds of apples, y, minus two times the number of pounds of oranges, x, is at most 5.

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What is the circumference of the circle? (use 3.14 for pi)



28.26 km
56.52 km
56.55 km
113.04 km

Answers

Answer:

56.52 km

Step-by-step explanation:

circumference of circle =2πr or dπ

d×π=18×3.14=56.52 km

hope this helps

plzz mark me brainliest

56.52 km is the circumference of the circle.

Determining the circumference of a circle.

The given figure is a circle with diameter 18km. The formula for calculating the circumference is expressed as:

C = 2πr

radius = diameter/2

radius = 18km/2

radius = 9km

Substitute to have:

C = 2(3.14)(9)

C = 56.52 km

Hence the circumference of the circle is 56.52 km

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Please solve this ASAP! I WILL GIVE 20 points!

Answers

Answer:

15 parts

Step-by-step explanation:

Sugar: 20/4=5 you are doing five times the recipe because your using 5 times as much sugars. So for the flour 3*5=15

What is the value of y if f(x)=-3?

Answers

f(3)=5. Explanation: substitute the value of 3 given.

If the volume of a cylinder 30 cm high 4620cm^3 find radius​

Answers

Answer:

7 cm to 1 decimal place

Step-by-step explanation:

We need to know one formula in order to solve this question and it's the volume of a cylinder formula which is π × r² × h where 'r' is the radius and 'h' is the height, we want to work out the radius not the volume so we have to set up an equation to solve for the radius given the information that the volume of the cylinder is 4620 cm³ and the height is 30cm so

→ Step 1 form the equation

π × r² × h = 4620

→ Step 2, substitute in the values in this case we only need to substitute in the height

π × r² × 30 = 4620

→ Step 3, divide 30 from both sides to isolate π and r²

π × r² = 154

→ Step 4, divide both sides by π to isolate r²

r² = 154 ÷ π

r² = 49.0197224723

→ Step 5, square root both sides to isolate 'r'

r = 7.0014086063

So the radius of the cylinder is 7 cm to 1 decimal place

Answer:

7.00 cm.

Step-by-step explanation:

V = π r^2 h so

r^2  = V / π h

r = +√(V / πh)

r =  +√( 4620 / 30π)

r = 7 .00cm.

PLEASE HELP!!

Which method would be used to best prove the two triangles are similar? (Reminder, arrows represent parallel lines.)

A. AA Similarity Theorem
B. ASA Similarity Theorem
C. SAS Similarity Theorem
D. SSS Similarity Theorem
E. There is not enough information provided

Answers

Answer:C

Step-by-step explanation:Both sides are dilated by 2.5. The bottom line of both triangles are connected, and the left side is parallel, which means that they have the same angle making it SAS~

Dylan is wrapping a birthday present for his sister. The box the gift is in has a length of 6 inches, a width of 5 inches,
and a height of 3 inches. What is the minimum amount of wrapping paper Dylan will need to completely cover the
box?
TI

Answers

Answer:

126 square inches of wrapping paper

Step-by-step explanation:

To compute for the minimum amount of wrapping paper Dylan will need to completely cover the box, you have to compute the surface area of the box. The formula in getting the surface area of a rectangle is:

A = 2WL + 2LH + 2HW

Substituting the given measurements to the formula:

A = 2(5)(6) + 2(6)(3) + 2(3)(5)

A = 60 + 36 + 30

A = 126 square inches

Therefore, Dylan needs to purchase at least 126 square inches of wrapping paper to completely cover the box.

Answer:

Step-by-step explanation:

4th question help plzz with steps

I give brainly

Answers

Answer:

72 degrees

Step-by-step explanation:

A central angle equals the degree of the arc.

If the circumference is 20 and the arc is 4 than means the

arc is 4/20= 1/5 of the circumference.

A circles circumference is also always equal to 360 degrees.

So we need to find out what 1/5 of 360 is to find the degree of the arc.

So then 1/5*360= 72

so the Arc is equal to 72 degrees of the whole circle, which means the central angle is equal to 72  degrees as well.

what is 15,472 rounded to the nearest thousand

Answers

Answer:

15,000

Step-by-step explanation:

You can't round it upwards, so it remains the same.

It would just be 15,000 right?  

Step-by-step explanation: Because if its in the thousands place the 4 is less than the 7

6(a)If the gradient of the straight line
ky = kx + x + 7 is 2,
find: (i) the value of k,
(ii) the y-intercept.
Vine​

Answers

Answer:

(i) k =1

(ii) y-intercept is 7

Step-by-step explanation:

Given line:

ky = kx + x + 7

Divide all terms by k to get slope-intercept form of the line

y = (1 + 1/k)x + 7/k

Since the gradient (slope) of the line is 2:

1 + 1/k = 21/k = 1k = 1

The equation is now:

y = 2x + 7

y - intercept is found when x = 0

x = 0 ⇒ y = 2*0 + 7 y = 7

help plzz. I Give brainly.

With steps plezz

Answers

Answer:

64°

Step-by-step explanation:

33k-9=90 (being a right angle)

33k=90+9=99

k=99/33=3

CD=20×3+4=64°

Answer:

arc CD = 64 degrees

Step-by-step explanation:

Find out k value: 33k-9+90=180

33k+81=180

33k=99

k=3

Substitute it in: 20(3)+4=60+4=64

SInce CPD is a central angle, arc CD = 64 degrees

I hope this helped and have a good rest of your day!

What is the measure of

Answers

Answer:

The measure is the measure that it is you forgot the picture

Step-by-step explanation:

You forgot to put the picture of the question

A veterinarian knows that a 50-pound dog gets 0.5 milligram of a certain medicine, and that the number of milligrams, m, varies directly with the weight of the dog, w. The vet uses these steps to find the amount of medicine to give a 10-pound dog.

Step 1 Find the constant of variation.
k = StartFraction 0.5 Over 50 EndFraction = 0.01
Step 2 Write the direct variation equation.
m = 0.01 w
Step 3
Substitute 10 into the equation to find the dosage for a 10-pound dog.
10 = 0.01 w
Step 4
Solve for w.
10 = 0.01 w. w = 1000.

The 10-pound dog needs 1000 milligrams.

In which step did the veterinarian make the first error?

Answers

In the third step, 10 is the mass of the dog. As such, it should have been substituted to w and not to m.

Answer:

its c/third step

Step-by-step explanation:

trust -w-

help me whit this pls

Answers

Answer:

960cbin

Step-by-step explanation:

Answer:

320

Step-by-step explanation:

The formula for the volume of a pyramid is V= (b x h)/3

v is the volume

b is the base you get it by multiplying the bases length and width in this case it would be 80 in( since 8 x 10 is 80)

h is the height in this case it would be 12 in

V= (b x h)/3

V= (80 x 12)/3

V= (960)/3

V= 320 in

Consider the equation x 5 − 2 = 11. Each of these values might be the solution to this equation. Verify the correct solution by substituting each value into the equation. Which is the correct solution?

Answers

Answer:

x = 65

Step-by-step explanation:

Complete question is:

Which is the correct solution?

x = 1.8

x = 2.6

x = 45

x = 65

SOLUTION:

The given equation is : [tex]\frac{x}{5}-2=11[/tex]

Substituting all the values of 'x' one by one

 

-> For  x = 1.8  : [tex]\frac{1.8}{5}-2=11[/tex]

-1.64≠11

-> For x = 2.6 : [tex]\frac{2.6}{5}-2=11[/tex]

-1.48≠11

-> For x = 45 : [tex]\frac{45}{5}-2=11[/tex]

7≠11

-> For x = 65 : [tex]\frac{65}{5}-2=11[/tex]

11=11

Therefore, by substituting x in every equation, x = 65

Answer:

Substitute 7 for a.

Simplify the equation after substituting the value for a.

Verify that a = 7 is correct when the result is a true statement.

Step-by-step explanation:

Here, the given equation is,,

And, after solving it the result is,

a = 7

We can check whether a result is the solution of an equation by substituting the result in the given equation.

If we get a true statement, then the result is the solution of the equation.

Thus, for verifying the solution, steps are as follow,

Step 1 : Substitute 7 ,

-9(7-5) = -18

Step 2 : Simplify the equation after substituting the value of a  

-9(2) = -18    

Step 3 : Verify that a = 7 is correct when the result is a true statement.

-18 = -18      

Given that events A and B are independent with P(A) = 0.65 and
P(A n B) = 0.52, determine the value of P(B), rounding to the nearest
thousandth, if necessary.

Answers

Answer:

0.80

Step-by-step explanation:

For independent events:

P(A and B) = P(A) P(B)

0.52 = 0.65 P(B)

P(B) = 0.80

Mr Altman class recycled 72 water bottles in march. The Numbers of juice was 1/4 One Fourth times as many. What is the total number of water bottles and juice cans they recycled in march?

Answers

Answer:

The answer is 90 altogether.

Step-by-step explanation:

1/4 of 72 or 0.25x72 is 18. When you add 72 water bottles with the juice you get 90 altogether.

# 1. Using the data set below find the MEAN:
15, 12, 7, 8, 6, 14, 8, 12, 17

Answers

Answer:

11

Step-by-step explanation:

15+12+7+8+6+14+8+12+17= 99

99 divided by 9 = 11

u divide it by 9 because u added 9 numbers together

Sumiko and Chung are shopping. Chung wants to buy a video game that costs $60, and Sumiko wants to buy a new pair of sunglasses for $80. In their possession, they have a gift card for $20 dollars, applied after taxes, and a 15 percent off coupon, applied before taxes. Sumiko and Chung want to use their remaining money to buy lunch, which they will split, at the mall. Assuming that taxes are 8.7 percent, who should use which savings option to ensure they have the most money remaining for lunch?

Answers

Answer:

1.83

Step-by-step explanation:

First, add the game and glasses. Write down the number you just got. Now, multiply by 0.15.

Take the second away from the first.

Now multiply that by 0.087

Finally, take 20 away

That is how much money you have spent.

Use both savings so they both get a huge meal.

Find the volume of the sphere. Round the answer to the nearest tenth.
16 ft
V
ft?

Answers

Answer:

804.25 ft cubed

I hope I helped you! If my answer is correct, could you please mark me brainiest? Thanks!

Which of the following equations have exactly one solution?

Choose all answers that apply:


A -13x+12=13x+13

B 12x+12=13x+12

C -13x+12=13x-13

D 12x+12=13x-12
Please answer ASAP

Answers

Step-by-step explanation:

A

-13x + 12 = 13x + 13

-13x - 13x = 13 - 12

-29x = 1

x = [tex] \frac{-29}{1} [/tex]

x = -1

B

12x + 12 = 13x + 12

12x - 13x = 12 - 12

-x = 0

C

-13x + 12 = 13x - 13

-13x - 13x = -13 - 12

-x = -25

x = 25

D

12x + 12 = 13x - 12

12x - 13x = -12 - 12

-x = -24

x = 24

Could the answer be A?

Because here I found the solution of equations A, C, and D.

Whereas the questions must choose the one that has a solution.

#CMIIW ^^

All the expression given in the option has one solution for variable x.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Solve all the equations for the value of variable x,

Option A:-

-13x + 12 = 13x + 13

-13x - 13x = 13 - 12

-29x = 1

x = -1 / 29

Option  B:-

12x + 12 = 13x + 12

12x - 13x = 12 - 12

-x = 0

Option C:-

-13x + 12 = 13x - 13

-13x - 13x = -13 - 12

-x = -25

x = 25

Option  D:-

12x + 12 = 13x - 12

12x - 13x = -12 - 12

-x = -24

x = 24

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21/-21. What is 21 divided by negative 21?

Answers

Answer:

-1

Step-by-step explanation:

Answer: 21/-21=-1

Step-by-step explanation:cut 21 two time,and add the minus and the answer -1

Can someone help me in b please​

Answers

Equilateral trianglesEquilateral triangles have sides of all equal length and angles of 60°. To find the height, we can draw an altitude to one of the sides in order to split the triangle into two equal 30-60-90 triangles. Now, the side of the original equilateral triangle (lets call it "a") is the hypotenuse of the 30-60-90 triangle.
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