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Vera_Pavlovna [14]
3 years ago
10

What is the completely factored form of 25x4 – 16y2?

Mathematics
2 answers:
erastovalidia [21]3 years ago
3 0

Answer:

(5x^2+4y)(5x^2-4y)

Step-by-step explanation:

25x^4-16y^2 has the form a^2-b^2 known as a difference of squares. It factors into (a+b)(a-b). To find a and b you take the square root.

\sqrt{25x^4} =5x^2

\sqrt{16y^2} =4y

The factored for is (a+b)(a-b).

In this case, it is (5x^2+4y)(5x^2-4y)


matrenka [14]3 years ago
3 0

Answer:

c. (5x2 4y)(5x2-4y)

Step-by-step explanation:

Just did the assignment

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Alison walks 2/5 mile from her house to the mailbox. Then she walks 1/3 mile to the bus stop. What is the total distance Alison
stealth61 [152]

Answer:

Total distance:

  • d=11/15 miles or 0.73 miles          

Step-by-step explanation:

  • Alison walks 2/5 miles from her house to the mailbox.
  • Then she walks 1/3 mile to the bus stop.

Thus, the total distance can be calculated by adding the miles

i.e.

d=\:\frac{2}{5}+\frac{1}{3}

LCM of 5,3 is 15

   =\frac{6}{15}+\frac{5}{15}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}

  =\frac{6+5}{15}    

  =\frac{11}{15}

   =\:0.73  miles

Thus,

Total distance:

  • d=11/15 miles or 0.73 miles                        
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3 years ago
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The flag should be 192 because 48 x 4 =192
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Consider the following set of equations:
alina1380 [7]
B. x+4=3x+6 ..........
3 0
3 years ago
Which statement describes the congruent triangles
4vir4ik [10]

Answer:

2 triangles

Step-by-step explanation:

2 triangles are said to be congruent when all the corresponding sides of the angle and the interior angles are congruent . The two triangle are said to be the mirror image of each other.

3 0
3 years ago
Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80
zhannawk [14.2K]

Answer:

\sum ^{20} _{n \to \11} 4n

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80  = \sum ^{20} _{n \to \11} 4n

4 0
3 years ago
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