Answer:
x + 2x + 2x + 2 + 4x + 4 = 42
Step-by-step explanation:
Let us assume the number of orange buttons be x
So, the grey buttons be 2x
The white buttons would be 2x + 2
And the black buttons be 2(2x + 2) i.e. 4x + 4
Also the total is 42 buttons
So, the equation is
x + 2x + 2x + 2 + 4x + 4 = 42
<span><span> x-4/x3-64</span> </span>Final result :<span> x4 - 64x3 - 4
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x3 </span>
Answer:
The missing leg is 8 feet and the hypotenuse is 10 feet.
Step-by-step explanation:
Use the Pythagorean theorem which is A²+B²=C².
So we know the first side is 6 so plug that into the equation which would now be 6²+B²=C².
Because the hypotenuse is 2 feet longer than the missing leg we can plug in C=B+2 which would now make it 6²+B²=(B+2)².
Now we solve what we have so far which would now make the equation 36+B²=B²+4B+ 4.
Now we can figure out that 4B=32.
Now isolate the variable, B, by divide both side of 4B=32 by 4.
This gives us B=8.
So the other side is 8 feet.
Since we know that the hypotenuse is 2 feet longer than the leg we just add 2 feet to the original 8 feet to find the hypotenuse to be 10 feet.
Be sure to include the "=" sign: <span>f(x) = 2^x -7
To find the x-intercepts, set f(x) = 0 and solve for x: 2^x - 7 = 0,
or
2^x = 7
Take the common log of both sides: x log 2 = log 7
log 7
Solve for x: x = --------- = 2.81 (approx)
log 2
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