The answer is 10110
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Explanation:
Divide 22 over 2. Use long division to find the quotient and remainder
22/2 = 11 remainder 0 <<--- this remainder will be used later. Call it A, so A = 0
Now repeat for the value 11, which was the quotient above
11/2 = 5 remainder 1 <<--- this remainder will be used later. Call it B, so B = 1
Repeat again for the quotient we just got
5/2 = 2 remainder 1 <<--- this remainder will be used later. Call it C, so C = 1
Repeat again
2/2 = 1 remainder 0 <<--- this remainder will be used later. Call it D, so D = 0
Repeat again
1/2 = 0 remainder 1 <<--- this remainder will be used later. Call it E, so E = 1
The last quotient above is 0, so we stop here. If we tried to keep going, then we'd get nothing but 0 remainders forever.
The remainders we got above were:
A = 0
B = 1
C = 1
D = 0
E = 1
The idea is to read the remainders in reverse order in which we found. So we start with E and work back to A
E = 1
D = 0
C = 1
B = 1
A = 0
So 22 base 10 = 10110 base 2
<span>Given that x represents the width of the rectangle and that the length of the rectangle is three times longer than the width. Then the length is 3x. The perimeter of a rectangle is given by 2(length + width) = 2(3x + x) = 2(4x) = 8x. The perimeter of the rectangle is 16 feet. Therefore, the required equation is 8x = 16. </span>
Answer:
y= (2/3)x -3
Step-by-step explanation:
M is equal to the slope in y=mx+b form. And the y intercept is equal to (0, -3), therefore the b part of the formula is -3.
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<span>4833.977
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<span>4833.97738
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Answer:
C. (-3,11)
Step-by-step explanation:
Tp is (-3,6) implies the quadratic could have been
f(x) = (x+3)²+6
(2/3)f(x) = (2/3)[(x+3)²+6]
= (2/3)(x+3)²+4
(2/3)f(x)+3 = (2/3)(x+3)²+4+3
= (2/3)(x+3)²+7
Tp at (-3,7)
Alternately,
No change in domain so x remains-3
(2/3)f(x) changes y from 6 to 4 (6×2/3)
+3 increases the y by 3
i.e 4+3 = 7
So, (-3,7)
