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iogann1982 [59]
2 years ago
15

If (2x^ay^b)^3 = 8x^12y^27, find the value of “a” and “b”.

Mathematics
1 answer:
ad-work [718]2 years ago
7 0
a = 4, b= 9. Explanation: Since all of it is to the power of 3, we can divide the exponents to of the results (right side of the equation). 12/3=4, 27/3=9. Hope this helps.
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Find the vertex of this parabola:<br> y = -x2 + 6x - 8
skelet666 [1.2K]

Answer:

4x-8

Step-by-step explanation:

y=-x2+6x-8

y=4x-8

4 0
3 years ago
A thin tube stretched across a street counts the number of pairs of wheels that pass over it. A vehicle classified as type A wit
aliina [53]

Answer: All possible solutions would be

(1,41), (8,33), (15,25), (22,17), (29,9), (36,1)

Step-by-step explanation:

Let the number of vehicle of type A be 'x'.

Let the number of vehicle of type B be 'y'.

Since we have given that

Number of axles of type A = 2

Number of axles of type B = 9

After 2 hours, number of counts = 101

so, our equation becomes,

2x+9y=101

So, all possible solutions would be

(1,41), (8,33), (15,25), (22,17), (29,9), (36,1)

7 0
3 years ago
Combine the like to simplify the expression: -5y + 12 + 8y − 6 − 2 =
ANTONII [103]

First, let's move combine like terms:

-5y + 8y = 6 + 2 -12.

3y = -4.

y = -4/3

8 0
4 years ago
Read 2 more answers
Solve for x.<br><br> Help please
MAVERICK [17]
X = 10

The triangles are similar by SAS, so we can set up a proportion of their sides.

9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2

Reduce
3/8 = 12/3x+2

Cross multiply
3(3x+2) = 12*8

Distribute and multiply
9x + 6 = 96

Subtract 6
9x = 90

Divide by 9
x = 10

Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
4 0
3 years ago
Convert 11.42424242 … to a rational expression in the form of a over b, where b ≠ 0.
Pavlova-9 [17]

x=11.4242....

100x=1142.4242....

100x-x = 99x = 1131

x=1131/99 = 11 42/99 (unreduced) = 11 14/33 (reduced fraction)

7 0
4 years ago
Read 2 more answers
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