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Nitella [24]
3 years ago
9

Multiply the binomials: (2c - d) (3c + d)

Mathematics
1 answer:
slega [8]3 years ago
3 0

Answer:

6c^2-cd-d^2

Step-by-step explanation:

How you get the answer is you use the process called FOIL. The F is front, so you multiply the 2c and the 3c to get 6c^2. The O is the outer, so you multiply the 2c and the d(because they are on the outer sides of the parenthesis) to get 2cd. The I is the inner, so you multiply the -d and the 3c(because they are on the inner sides of the parenthesis) to get -3cd. The L is the last, so you multiply d and -d to get -d^2. The 2cd and the -3cd are the same so you have to minus them to get -cd. So the answer is:

6c^2-cd-d^2.

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One number is 6 more than another. The difference between their squares is 204. What are the numbers?
Crazy boy [7]

Answer:

14 and 20

Step-by-step explanation:

<u><em> Let x and y be two numbers where x < y</em></u><em>.</em>

We are given :

y - x = 6

y² - x² = 204

Then

y - x = 6

(y - x)(y + x) = 204

Then

y - x = 6

6 × (y + x) = 204

then

y - x = 6       (Equation 1)

y + x = 34    (Equation 2)

Then

(Equation 1) + (Equation 2) ⇒ 2y = 40 ⇒ y = 20

Now ,we substitute y by 20 in equation 1 :

y - x = 6

⇔ 20 - x = 6

⇔ 20 - 6 = x

⇔ x = 14

4 0
1 year ago
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A decorative floor pattern has 1 red square tile surrounded by 12 blue tiles. Wrote and evaluate an expression to show how many
ehidna [41]

This question is worded badly, so don't be alarmed.

Obviously if this were a square patter the number of red tiles could only be 1,4,9,16,25,36 etc and this is not the numbers given...It would help tremendously if they gave you another reference point so as to know how the tiles were being laid out.

If they are laid out alongside one another with a consistent border for each you wouldn't need 12 blue tiles for each red tile either...if two were laid side by side you would only need 20 blue tiles to have the border around both...you see how the arrangement makes a huge difference and you are given no details as to what that arrangement is...

So just to keep it simple, assume that each red tile is surrounded by 12 blue tiles....

Total tiles equals r+12r=13r

t=13r so

t(15)=195, t(20)=260, t(25)=325, t(30)=390

3 0
3 years ago
The functions f(x) and g(x) are shown on the graph.f(x) = 1x1What is g(x)?f(x) = x1g(x) = ?A. g(x) = x + 3B. g(x) = x + 3O c. g(
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Consider the functionj

\lvert x\rvert-3

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Hence the function corresponding to the given graph is

g(x)=\lvert x-3\rvert

Hence the answer is C. since x=0, then

\lvert x\rvert-3=-3
7 0
1 year ago
If a man making $22 an hour gets a 20% raise, she will make an additional 1/10 of her salary an hour.
MariettaO [177]

Answer:

True

Step-by-step explanation:

If this is a true or false question it is true.

22 x 20% = 2.2

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Hope this helps!

3 0
3 years ago
WILL GIVE BRAINLIEST
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Answer:

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4 0
3 years ago
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