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andreev551 [17]
3 years ago
10

What is the fully factored form of the expression 16x^2 - 49y^2

Mathematics
1 answer:
podryga [215]3 years ago
6 0

Answer:

(4x + 7y)(4x - 7y)

Step-by-step explanation:

Rewrite 16 as 4^2

= 4^2x^2 - 49y^2

Rewrite 49 as 7^2

= 4^2x^2 - 7^2y^2

Apply the Exponent Rule Pt 1  ((a^m*b^m =(ab)^m))

= (4x)^2 - 7^2y^2

Apply the Exponent Rule Pt 2

= (4x)^2 - (7y)^2

Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)

= (4x + 7y) (4x - 7y)

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Mike is playing cards with his sister when he draws a card from a pack of 35 cards numbered from 1 to 35 what is the probability
Ganezh [65]
1/5 because there are 7 numbers divisible by 5 from 1 to 35. 5,10, 15, 20,25,30,35, and out of those there are 35 cards, 7 out of 35 or 7/5 can be simplified to 1/5.
4 0
3 years ago
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BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs
Tom [10]

Answer:

1102.5 pounds of apples will be sold in a week.

Step-by-step explanation:

Amount of apples in each bag = 3.5 pounds

If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45

                                                                                        = 157.5 pounds

Number of days in a week = 7

Amount of apples sold in one week = Apples sold in a day × Number of days in a week

Amount of apples sold in 7 days = 157.5 × 7

                                                      = 1102.5 pounds

Therefore, amount of apples sold in a week = 1102.5 pounds

6 0
3 years ago
A circle has area 2251 m2. What is its diameter?
Gemiola [76]

Answer:

53.54m

Step-by-step explanation:

Using the formulas

A=πr2

d=2r

Solving for d

d=2A

π=2·2251

π≈53.53562m

8 0
3 years ago
Your school's drama club charges $4 per student for admission to Our Town. The club borrowed $400 from parents to pay for costum
inna [77]

Answer:

125 students attend.

Step-by-step explanation:

We already know that the drama club made $500 (500 - 400 = 100)

divide 500 by 4 to find out how many students attend the play, and paid $4

500 ÷ 4 = 125

125 students attend.

6 0
3 years ago
I’m stuck on this question
Korolek [52]
F(2y + 1) is 2


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4 0
3 years ago
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