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Vaselesa [24]
3 years ago
13

Simplify: (3y)^4 (times) y^-2 A) 1/2y^2 B) 3y^2 C) 1/81 y^2 D) 81 y^2

Mathematics
2 answers:
Gennadij [26K]3 years ago
8 0
(3y)^{4} * y^{-2}

((3y)(3y)(3y)(3y)) *  \frac{1}{y^{2}}

81y^{4} *  \frac{1}{y^{2}}

81y^{2}

D. 81y²
yulyashka [42]3 years ago
6 0
(3y)^4\cdot y^{-2}=81y^4\cdot y^{-2}=81y^{2}
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How many positive 3-digit numbers are divisible by 11?
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Answer:

81

Step-by-step explanation:

If a number is divisible by 11, then you can make those numbers by multiplying 11 by any number. Like 33 is divisible by 11 because 3×11 is 33.

Of course, 33 is too small, we are looking for 3-digit numbers...

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4 0
1 year ago
Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slop
OLEGan [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The line is y  =  -4 x

Step-by-step explanation:

From the question we are told that

The line is y  =  \frac{1}{4} x  + 8

The point is P(0,0 )

Generally the equation for a line is yn =  mx  + c

Now comparing this with the given equation we see that

m  =\frac{1}{4} =  slope

C  =8  =  intercept

Generally the slope of the perpendicular to the given line is mathematically evaluated as

m_1  = -  \frac{1}{m}

=> m_1  = -  \frac{1}{ \frac{1}{4}}

=> m_1  = -4

Generally from the univesal equation of a line and the given point we have that

y = mx + c at p(0,0) and m_1 =  -4 is

0 = -4 (0 ) + c

=> c = 0

Hence the equation perpendicular to the line given at the point given is

y  =  -4 x

8 0
3 years ago
The formula for the perimeter of a rectangle is . What is the length of the unknown side of the rectangle below, if the perimete
Troyanec [42]

Answer:

Step-by-step explanation:

P=2l+2w

28=2l+2w

2l=2w-28

l = (2w-28)/2

l =2(w-14)/2

l = w-14

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