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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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What is the first step when rewriting y=6x^2+18x+14 in the form y=a(x-h)^2+k?
Grace [21]
<h3>Answer:</h3>

Factor 6 from the first two terms.

<h3>Step-by-step explanation:</h3>

By factoring out "a", you can better see what "h" needs to be.

  1. y = 6(x^2 +3x) +14 . . . . 6 factored from first 2 terms
  2. add the square of half the x-coefficient inside parentheses; add the opposite outside: y = 6(x^2 +3x +2.25) +14 -6(2.25)
  3. rewrite as a square; combine the constants: y = 6(x+1.5)^2 +0.5

7 0
3 years ago
The area of a triangle is 30 square centimeters and its base is 10 cm. What is the height in cm of the triangle
Vesnalui [34]

Answer:

The height of the triangle is 6 cm.

Step-by-step explanation:

----------------------------------------

The formula for solving the area of a triangle is  A=\frac{1}{2}bh where b stands for base and h stands for height.

Let's substitute 30 cm^2 for the area and 10 for the base.

30=\frac{1}{2} (10)h

-------------------->>>>

Now, let's solve to find the height.

30=\frac{1}{2}(10)h

Multiply \frac{1}{2} times 10

30=5h

Divide both sides by 5.

6=h

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Hope this is helpful.

4 0
3 years ago
Find the percent decrease. Round to the nearest percent.
shutvik [7]

Answer:

decrease 3%

Step-by-step explanation:

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4 0
3 years ago
A right triangle has a hypotenuse of 153 centimeters and a leg of 72 centimeters. What is the length of the other leg?
Luba_88 [7]
81 cent.........................................................                                               
7 0
3 years ago
What is the y-intercept of the line perpendicular to the line...
Dominik [7]

Answer:

D) 5

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes.

The line: y=\frac{3}{4} x+3 has a slope of \frac{3}{4} as it is  in y=mx+b form, where m is the slope, and b is the y-intercept.

Since the slope is \frac{3}{4}, we see that the negative reciprocal slope is -\frac{4}{3}, as \frac{4}{3} is the reciprocal (flip the numerator and denominator).

From here, we can use point slope form: y - y1 = m(x- x1), where (y1, x1) is  the point. In this case, (3, 1) is the point.

Thus, we have: y-1 =-\frac{4}{3}(x-3) as our final equation.

Simplifying: y-1 = -\frac{4}{3}x+4

And: y=-\frac{4}{3}x+5, which gives us the y-intercept to be 5.

Let me know if this helps!

4 0
3 years ago
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