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Novay_Z [31]
3 years ago
13

Complete the sentence by selecting the correct phrase. The expression (a2−)2−(b2)2 is an example of: a system of equations, a po

lynomial of degree 2, a difference of squares, an exponential function?
Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

Answer:

a difference of squares

Step-by-step explanation:

Let's write down the expression:

(a^2)^2 -(b^2)^2

we can see that this expression is one of the form x^2 -y^2 which is the general expression of a difference of squares.

To be more specific and to see why we say this, let's make x=a^2 and y=b^2

Now, if we substitute this in the general formula, we get:

x^2 -y^2 =(a^2)^2 -(b^2)^2

Thus, this expression is a difference of squares.

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What’s Distribute -x(5x+2)
MaRussiya [10]

Answer:

-5x^2-2x

Step-by-step explanation:

When distributing, you multiply the term outside the brackets to all the terms in brackets.

If the term outside the bracket is negative, then when distributing/opening the brackets, the signs of the terms changes.

So in this prob. -x would multiply to both +5x and +2

-x*5x+-x*2

∴-5x^2-2x

4 0
3 years ago
Read 2 more answers
The sum of three consecutive even numbers is 48. What is the smallest of these numbers?
SVETLANKA909090 [29]

Answer: The numbers are 14, 16 and 18.

Step-by-step explanation: First thing to note is that consecutive even numbers have a difference of 2 units between every two terms. That is, if the first number is a, the next would be a + 2, and the next would be a + 4, and so on.

Therefore the three consecutive even numbers shall be a, a + 2, and a + 4.

Our equation now becomes;

a + a + 2 + a + 4 = 48

3a + 6 = 48

Subtract 6 from both sides of the equation

3a = 42

Divide both sides of the equation by 3

a = 14

Therefore, the numbers are 14, 16 and 18.

4 0
3 years ago
Read 2 more answers
Which expressions are equivalent to 2(b+3c)?
Rina8888 [55]

Answer:

B. (b+3c)+(b+3c)

C. 2(b)+2(3c)

Step-by-step explanation:

we have

2(b+3c)

Distribute the number 2

2(b+3c)=2b+2(3c)=2b+6c

Verify each case

case A) 3(b+2c)

distribute the number 3

3(b+2c)=3b+3(2c)=3b+6c

3b+6c \neq 2b+6c

therefore

Choice A is not equivalent to the given expression

case B) (b+3c)+(b+3c)

Combine like terms

b+3c)+(b+3c)=(b+b)=(3c+3c)=2b+6c

2b+6c= 2b+6c

therefore

Choice B is equivalent to the given expression

case C) 2(b)+2(3c)

Multiply both terns by 2

2(b)+2(3c)=2b+6c

2b+6c= 2b+6c

therefore

Choice C is equivalent to the given expression

6 0
3 years ago
Read 2 more answers
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Leokris [45]

<u>Picture 1:</u>

To figure this out, notice the pattern happening on x. It's simply counting to four, so the first blank is 1 and the next is 2.

The y coordinates seem to be going up by 9. 27 plus 9 is 36, so the answer to the fourth box is 36.

Another way to see how this is correct is to notice that the x is multiplying by 9 to get y. It works out as you look at it and plug it in!

<u>Picture 2:</u>

Yes, this is a proportional relationship. Since Dennis is adding 3 logs every hour, it is keeping a consistent pattern.

<u>Picture 3:</u>

If Jane is driving 60 miles per hour, the first hour she would've gone 60 miles. After a second hour, she would've gone 120 miles. Multiply 60 to your x coordinates to figure this out. You should get 60, 120, 180, and 240 for each box.

5 0
3 years ago
Evaluate the expression when g=4 and h= 7.<br> 56<br> -9<br> h
pav-90 [236]

Answer:

??????????

Step-by-step explanation:

6 0
3 years ago
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