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Answer:
(1) P=4a+4
(2) P=2a+4a
Step-by-step explanation:
Well, let us call longer side b, shorter side a and diagonal d. The perimeter of a rectangle is 2*(a+b). Let us write this formula as P=2*(a+b)
In (1) it is stated that b=a+2. Hence, the perimeter of the rectangle is P=2*(a+b). In terms of b, let us write (a+2). So P=2*(a+a+2)=4a+4.
In (2) it is stated that d/a=13 or d=13a. From Pythagorean theorem d^2=a^2+b^2. Hence, b^2=168a^2 or b=2a. Finally, P=2*(a+b)=2*(a+2
a)=2a+4
a
The expression into a single logarithm is
Step-by-step explanation:
Let us revise some logarithmic rules
∵ 10 log(x) + 5 log(64)
- At first re-write 10 log(x)
∴ 10 log(x) =
- Then re-write 5 log(64)
∴ 5 log(64) =
∴ 10 log(x) + 5 log(64) = +
- Use the 3rd rule above to make it single logarithm
∵ +
=
∴ 10 log(x) + 5 log(64) =
∵ 64 = 2 × 2 × 2 × 2 × 2 × 2
∴ We can write 64 as
∴
- Multiply the two powers of 2
∴
∴ 10 log(x) + 5 log(64) =
The expression into a single logarithm is
Learn more:
You can learn more about the logarithmic functions in brainly.com/question/11921476
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