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Delvig [45]
3 years ago
6

What is the simplified form of (81x^4y^9)^1/2

Mathematics
1 answer:
aniked [119]3 years ago
7 0

Answer:

C 9 *x^2 y^ 4 y^ 1/2

Step-by-step explanation:

(81x^4y^9)^1/2

We know that (ab)^1/2 = a^1/2  *b^1/2

(81) ^1/2 * (x^4) ^1/2  * (y^9)^1/2

We know that a^b^c = a^ (b*c)

(81) ^1/2 * (x^(4*1/2)   * (y^(9*1/2)

9 *x^2 y^ 9/2

We know that y^9/2 = y^4 y^1/2

9 *x^2 y^ 4 y^ 1/2

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What are the zeros of f(x) = x2 + x - 30?
Natalija [7]

Answer:

A

Step-by-step explanation:

The zeroes of the function are the x values when f(x) = 0 so we can write:

0 = x² + x - 30

0 = (x + 6)(x - 5) (To factor this we need to find 2 numbers that have a sum of 1 and a product of -30; these numbers are 6 and -5)

x + 6 = 0 or x - 5 = 0 (Use Zero Product Property)

x = -6, 5

8 0
3 years ago
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olga_2 [115]

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Pls help with these questions
postnew [5]

Find x-intercept and y-intercept then you can draw the graph.

For example, the first question.

y=-3x+2

To find the y-intercept, x = 0

So substitute x = 0 in the equation.

y=0+2\\y=2

[Note]: You don't need to find the y-intercept, because from, y=ax+b

a is slope and b is y-intercept, you know b then you know y-intercept. For example b = 2 then y-intercept is at 2.

To find the x-intercept, y = 0

-3x+2=0\\-3x=-2\\x=\frac{2}{3}

Therefore, y-intercept = 2 and x-intercept = 2/3

(Try do another problems, just do the same. When you want to find the y-intercept, just look at the value of b or substitute x = 0 and When you want to find the x-intercept, just substitute y = 0 then solve for x.)

3 0
3 years ago
If the equation y² - (K-<br>2y + 2k +1 = 0<br>with equal roots find the value of k​
777dan777 [17]

Answer:

y² - (K-  2)y + 2k +1 = 0

equal roots means D=0

D= b^2 - 4ac

a=1, b= (k-2), c= 2k+1

so,

(k-2)^2 - 4(1)(2k+1) = 0

=> k^2 +4 - 8k -4 = 0

=> k^2 -8k = 0

=> k^2 = 8k

=> k= 8k/k

=> k = 8

Therefore the answer is k= 8

Hope it helps........

8 0
3 years ago
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