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BaLLatris [955]
3 years ago
14

Which shows 42^2 − 38^2 being evaluated using the difference of perfect squares method?

Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:

320

Step-by-step explanation:

42^2-38^2= (42+38)(42-38)

=80*4

=320

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(0,1)

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How to factor 2x^2+xy-3y^2
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3 years ago
Mr. Crow, the head groundskeeper at High Tech Middle School, mows the lawn along the side of the gym. The lawn is rectangular, a
tia_tia [17]

Answer: The dimension of the lawn = 85 × 40

Area of the lawn = 3250 square feet

Step-by-step explanation:

Let x represents the width of the rectangle,

Then According to the question,

The length of the rectangle = 2 x + 5

Also it is given that the perimeter of the rectangle = 250 feet.

But we know that the perimeter of the rectangle = 2 × ( length + width)

Thus, the perimeter of the rectangle = 2( 2x+5+x) = 2(3x+5) = 6x+10

If x = 30,  the perimeter of the rectangle = 6 × 30 + 10 = 190 < 250

Thus, x ≠ 10.

If x = 50,  the perimeter of the rectangle = 6 × 50 + 10 = 310 > 250

Thus, x ≠ 50

If x  = 40, the  the perimeter of the rectangle = 6 × 40 + 10 = 250 = 250

Thus, x = 40

Therefore, the width of the rectangle, x  = 40 feet.

And, the length of the rectangle, 2 x + 5 = 2 × 40 + 5 = 85 feet.

1) The dimension of the rectangle = 85 × 40

2)The area of the rectangle = length × width = 85 × 40  = 3250 square feet.


3 0
3 years ago
Frank has $8000 that he plans to split into two investments. He wrote the following two equations to represent the interests he
svp [43]

Answer:

Step-by-step explanation:

I still think your equations are wrong...

4000/4000 not 400/400 since the total investment is to be $8000

not $800

Step-by-step explanation:

2000 A+ 6000B=520

4000A+4000B        =480

~~~~~~~~~~~~~~~~~~~~~

2000 A+ 6000B=520

-2000A - 2000B   =-240  

4000B = 280

B=7%

A=5%

8 0
3 years ago
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