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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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Jacob went to the gas station with 17.70 he brought a drink for 2.90 and he wanted to spend the rest of the money and a bag of c
nikdorinn [45]

Answer:

17.70-2.90=14.80

14.80/1.85=8

He could buy a maximum of 8 chip bags.

bags of chips = x

17.70-2.90/1.85≥x

4 0
3 years ago
Select all trips that would take 3 hours,
Leno4ka [110]

Answer:

A and D

Step-by-step explanation:

7 0
2 years ago
Julian walked 6/10 of a mile to his friends house and another 35/100 mile to the store. He walked 1/4 of a mile back home. Julia
AveGali [126]

The statement, "Julian's sister said he walked 1/5 mile" cannot be agreed because Julian totally walked 1\frac{1}{5} \text{ or } \frac{6}{5} miles.

<u>Solution:</u>  

Given that,

  • Julian walked 6/10 of a mile to his friends house
  • Another 35/100 mile to the store
  • He walked 1/4 of a mile back home

To find total distance walked by Julian we have to add the above stated values. That is, \frac{6}{10} +\frac{35}{100} +\frac{1}{4}

Factors of 10 = 5\times2

Factors of 100 = 5\times2\times5\times2

Factors of 4 = 2\times2

Therefore, the least common factor of 10, 100 and 4 is 100. With like denominators we can operate on just the numerators,

\frac{6\times10}{10\times10} +\frac{35\times1}{100\times1} +\frac{1\times25}{4\times1}\rightarrow\frac{60+35+25}{100}\rightarrow\frac{120}{100}

\Rightarrow\frac{120}{100}\rightarrow\frac{6}{5}

Which can also be written as 1\frac{1}{5}.

So, from the above calculation it can be said that Julian walked 1\frac{1}{5} \text{ miles }.

3 0
2 years ago
What have I done wrong and where please help me
lys-0071 [83]
12x - 18 - 4x -2
12x - 4x = 8x (yours 12x - 4x = 8)
-18 - 2 = -20 (yours -18 -1 = 17)

answer:

8x - 20
6 0
3 years ago
What is 54% as a fraction?
densk [106]
54% = 54/100 = 27/50

Answer: 27/50

Hope it helped :)
6 0
3 years ago
Read 2 more answers
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