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kirill115 [55]
2 years ago
9

Solve for x 64^x^2 = 256^x

Mathematics
1 answer:
kifflom [539]2 years ago
8 0

Answer:

x = 0, 1.333333...

Step-by-step explanation:

1) Convert both sides to the same base.

16^{1.5x^{2} } =16^{2x}

2) Cancel the base of 16  on both sides.

1.5x^{2} =2x

3) Move all terms to one side.

1.5x^{2} -2x=0

4) Factor out the common term x.

x(1.5x-2)=0

5) Solve for x.

1 - Ask: When will x(1.5x-2) equal zero?

When x = 0 or 1.5x - 2 = 0
2 - Solve each of the 2 equations above.

x = 0, 1.333333...

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bija089 [108]
The answer is 6
See attached.

3 0
3 years ago
Cydney built a display stand out of two cubes. The larger cube is 8 inches on each side. The smaller cube is 4 inches on each si
aivan3 [116]
The total area painted was 480 inches. 4 cubed is 64, 8 cubed 512. 512 +64= 576. Then you subtract two sides of the 4 inch square because the bottom is not painted and one side is pushed against the 8 inch cube. That means 576-32= 544. Then you subtract the bottom of the 8 inch cube, which means 544-64= 480.
5 0
3 years ago
Find the coordinates of point P
Drupady [299]
Here is the formula for finding a partitioning point:
x=x1+k(x2-x1), y=y1+k(y2-y1)
k is the ratio of the segment from the beginning point to the partitioning : the whole segment. In this case, k=AP:AB=5/16
so x=1+(5/16)*(-2-1)=1/16
y=6+(5/16)(-3-6)=51/16
so the answer is (-1/16, 51/16)

Please double check my calculation by yourself.

refer to this website for the formula and how to find k:

"This ratio is called k, and is determined by writing the numerator over the sum of the numerator and the denominator of the original ratio."
https://cobbk12.blackboard.com/bbcswebdav/institution/eHigh%20School/Courses/CCVA%20CCGPS%20Coordina....
6 0
3 years ago
Can somone pls help me plssssss
jeka57 [31]

Answer:

2\frac{2}{5}

Step-by-step explanation:

12 divided by 5= 2.4

OR

2 2/5

Hope this helps! :)

4 0
3 years ago
Read 2 more answers
Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, the
NeX [460]

Answer:

m = -1/6.

b = 5.

Step-by-step explanation:

Slope m =  (3 - 6) / (12 - -6)

=  -3 / 18

= -1/6.

y = -1/6 x + b

when x = 12 y = 3 so

3 = -1/6 * 12 + b

b =  3 + 2 = 5.

5 0
3 years ago
Read 2 more answers
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