Since we’re asked for a whole number, we count the number of zeros after the first nonzero numbers. In this case, our first non-zero numbers are 2 and 4 (24). The number of zeros after these numbers are four (4). The number of zeros indicates the power number of 10.

Had we been asked for a decimal number and a power of 10, then the answer would have been 2.4 * 10^5

8 0

3 years ago

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the product of two consecutive integers n and n+1 is 42. what is the positive integer that satisfies the situation?

MrMuchimi

$n(n+1)=42 \\
n^2+n=42 \\
n^2+n-42=0 \\ \\
a=1 \\ b=1 \\ c=-42 \\ b^2-4ac=1^2-4 \times 1 \times (-42)=1+168=169 \\ \\
n=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-1 \pm \sqrt{169}}{2 \times 1}=\frac{-1 \pm 13}{2} \\
n=\frac{-1 -13}{2} \ \lor \ n=\frac{-1+13}{2} \\
n=\frac{-14}{2} \ \lor \ n=\frac{12}{2} \\
n=-7 \ \lor \ n=6$

The positive integer is 6.
The consecutive integers are 6 and 7.

8 0

3 years ago

Find the value of x for which ABCD must be a parallelogram.

densk [106]

For a parallelogram, the parallel sides must be the same length. This means you can set their lengths equal to each other. Get like terms on the same side to calculate x.

3x-5=2x+3
3x-5+5=2x+3+5
3x=2x+8
3x-2x=2x-2x+8
x=8

x=8

4 0

3 years ago

Which of the following is a multiple of 8?<br> A: 22<br> B: 48<br> C: 18<br> D: 30

strojnjashka [21]

The correct answer is:
B: 48

Hope this helped!

3 0

3 years ago