MATHEMATICS HIGH SCHOOL

Which is equivalent to (9y2 – 4x)(9y2 + 4x), and what type of special product is it?81y4 – 16x2, a perfect square trinomial
81y4 – 16x2, the difference of squares
81y4 – 72xy2 – 16x2, a perfect square trinomial
81y4 – 72xy2 – 16x216, the difference of squares

Answers

Answer 1
Answer:

Consider the expression (9y^2- 4x)(9y^2 + 4x) . You can see that in both brackets are the same terms 9y^2 and 4x, but signs are different. So you can use formula for the difference of squares:

a^2-b^2=(a-b)(a+b).

According to this formula,

(9y^2-4x)(9y^2+4x)=(9y^2)^2-(4x)^2=9^2\cdot (y^2)^2-4^2\cdot x^2=81y^4-16x^2.

Answer: correct choice is B.

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The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.10x3 + 35x2 − 4x − 14 5x2(____) − 2(____) What is the common factor that is missing from both sets of parentheses? −2x − 7 2x + 7 −2x2 + 7 2x2 + 7

How to reduce fractions

Answers

To reduce fractions, simply divide both the numerator and the denominator by the GCD of the numerator and the denominator.

For example, to reduce 18/42, you divide the numerator and denominator by 6, since 6 is the GCD of 18 and 42, to get 3/7.  However, a fraction such as 7/17 is already reduced entirely, because the GCD of 7 and 17 is 1.

Hope I helped!  Feel free to respond to my answer if anything is unclear.

What is the slope of the line passing through the points (1, –5) and (4, 1)?A. 2
B. -4/5
C. 5/4
D. -2

Answers

the slope is a 2
here the stpes 
6/3 got 2
y2-ya
x2-x1
then you get 6/3 devide ad that you slope

Gary has $250.00 for school supplies. He spends twice as much money on books as hedoes on cleaning supplies. After he pays the cashier, he has $70 left. How much did he
spend on each?

Answers

60 on cleaning supplies

120 on books

Step-by-step explanation:

= 250-70= 180

= 180÷60=3

if theres 3 60s and he spent double on books two sixtys would go to books

= 60×2=120

remaining 60 goes to cleaning supplies.

A yogurt shop offers 3 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping?A. 144

B. 36

C. 9

D. 1,320

Answers

3*12=36.  the answer is b

Answer: B. 36

Step-by-step explanation:

An arc of a circle measures 80 degrees and the length of 88pie cm. what is the diameter?

Answers

If             80°  ------> 88π cm
Then      360°  ------>  x cm

So:

x = (88π x 360) ÷ 80
x = 396 π   (lenght of the circle)

The relationship of Lenght of circle and its diameter is:

L = d .π 

replacing L:
396 π = d.π  ----> d = 396 cm  <---- here is your answer




  

Which is an answer to the following equation? a/6 =7

1. a=13
2. a=1
3. a=42
4. a=1 1/6

Answers

Answer:

3. a =42

Step-by-step explanation:

2 ways you can go about this, you can either multiply 7x6 to get 42 as your answer. Or you can go through the options and divide each by 6 until eventually you'll find the one option that equals 7 which you would find is choice 3 a = 42
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