Short answer x = 11/3
Step OneChange 64 to a power of 4
Step TwoInclude 2x - 4 as part of your power. So far you are only working on the right side of the problem.
Step Three
The bases are the same so you can equate the powers.
2x + 6 = 4(2x - 4)
Step FourRemove the brackets on the right.
2x + 6 = 8x - 16
Step fiveCollect like terms. Begin by adding 14 to both sides.
2x + 6 + 16 = 8x Subtract 2x from both sides.
22 = 8x - 2x
22 = 6x Divide by 6
22/6 = x
x = 3.666333 or 3 2/3 or 11/3
Check
Left hand side4^(2*11/3 + 6)
4^(22/3 + 6)
4^(22/3 + 18/3)
4^(40/3)
Right Side64^(2*11/3 - 4)
64^(22/3 - 4)
64^(22/3 - 12/3)
64^(10/3) There is something we can do without figuring out what this is.
64 = 4^4
4^(4*10/3)
4^(40/3) which is the same as the left side
Answer x = 11/3 <<<<<
Answer:
3/2x-2>5 1/2
Step-by-step explanation:
Two less than a number means we are subtracting 2, so we can write it into the equation as -2.
Since we dont know the value of x, we can just write 3/2 of x by multiplying 3/2 by x. So 3/2x. Also, since we are subtracting two from 3/2x, -2 comes after 3/2x.
Now, since it says that it is more than 5 1/2, we could use the greater than sign (>), to express that. So >5 1/2
Our final expression is 3/2x-2>5 1/2.
Hope this helps!
6:45AM
7:45 minus 15 is 7:30
7:30 minus 46 mins is 6:45
So, therefore 6:45AM :)
Slope of AB is different to the slope of BC is the answer.
The center would be (5, 7), and the radius would be √(12-7)²+(10-5)² = 5√2.
Standard form is (x-h)²+(y-k)²=r², where (h, k) are the coordinates for the center of the circle, and r is the radius.
So we get (x-5)²+(y-7)²=50.
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Hope this helps!