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givi [52]
4 years ago
9

Replace ∗ with a monomial so that the trinomial may be represented by a square of a binomial: 25a^2+ ∗ + 1/4b^2

Mathematics
1 answer:
Nadya [2.5K]4 years ago
7 0
The square of a binomial is a pattern you would do well to remember.
.. (x +y)^2 = x^2 +2xy +y^2

Your expression has x^2 = 25a^2, so x = 5a. It also has y^2 = (b^2)/4, so y = b/2.
then the middle term is
.. 2xy = 2(5a)(b/2) = 5ab

The trinomial is
.. 25a^2 +5ab +(1/4)b^2 = (5a +b/2)^2
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The decimal will move to the left(making the number smaller) if multiplied by a negative integer power of 10.
Example,
0.1 \times  {10}^{ - 1}  = 0.01
6 0
4 years ago
Kevin has $25. MP3 downloads cost $0.75 each. How many songs can he download and still have $13 left to spend? Write an inequali
vlada-n [284]
Hi there!

Inequality:
25 - 0.75x <= 13

Since x is the amount of MP3 downloads he can buy and each CD costs 0.75 dollars, and since the total price spent needs to be less than 13 dollars and the total amount of money he has is 25 dollars, this is the answer.

Hope this helps!
6 0
3 years ago
Read 2 more answers
What 2 numbers multiply to -147 but add to -14?
Bezzdna [24]
Okay, so let's go over multiplying negative numbers.  A positive times a positive is a positive, right?  But a negative times a negative is also a positive.  Only a negative times a positive (or a positive times a negative) gives you a negative number.  So, we know that one of our 2 numbers in this question must be negative; the other must be positive.

Let's now take a look at the factors of -147, starting with the positives.  Obviously, -147 and 1 are factors: -147 * 1 = -147.  What other factors of -147 are there?

What about 7?  Try it: -147 / 7 = -21.  So here are two factors: -21, and 7.  They multiply to -147.  Do they add up to -14?  Let's see: -21+7 = 7+(-21) = 7-21= -14.  Yup, that works!

Answer: -21 and 7
4 0
3 years ago
What is the median?<br> 6 6 - 8<br> -7 -6 8 -8
Mashcka [7]

Answer:

-6

Step-by-step explanation:

6 0
3 years ago
Carmen participated in a read-a-thon.Mr Cole pledged $4.00 per book and gave Carmen $44. How many books did Carmen read?
Morgarella [4.7K]
To do this we will divide d amount of money Mr. Cole gave her to d amount of money she gets per book. den d answer will be d amount of books Carmen read. lets do it:-

44 ÷ 4 = 11
Carmen read 11 books.

CHECK OUR WORK:-

11 × 4 = 44
We were RIGHT!!!!!

So, Carmen read 11 books!!

Hope I helped ya!!!! xD 
3 0
3 years ago
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