Answer:
l = 16 cm
Step-by-step explanation:
Let's set the width of the rectangle as "w" and the length of the rectangle as "w/2 + 9".
The perimeter of a rectangle is calculated by adding up the value of all of its side lengths. Therefore, we can find the perimeter using 2l + 2w = P.
We can substitute 60 for P and w/2 + 9 for l.
- 2(w/2 + 9) + 2w = 60
- 2w/2 + 18 + 2w = 60
- w + 18 + 2w = 60
- 3w + 18 = 60
- 3w = 42
- w = 14
Substitute w = 14 into the equation for length l.
- l = w/2 + 9
- l = 14/2 + 9
- l = 16
The length of the rectangle is 16 cm.
Compounded once a year: A=P(1+r)^t
2500=500(1+0.095)^t
1.095^t=5
because the unknown number is an exponent, use log to find the unknown:
log(1.095^t)=log5
tlog1.095=log5
t=log5/log1.095
use your calculator, t=17.734
so this person is about 28 years old.
Answer:
y(t) = 391 - 30t
Step-by-step explanation:
The weekly difference is 391-361 = 30
y(t) = 391 - 30t.
With t being the number of weeks.
Answer:
second quadrant
Step-by-step explanation:
(x, y ) → (x - 5, y + 3 ) means subtract 3 from the original x- coordinate and add 3 to the original y- coordinate.
(- 3, - 2 ) ← in third quadrant
→ (- 3 - 5, - 2 + 3) → (- 8, 1 ) ← in second quadrant
From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is

, and

.
There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.
That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are

and

. The difference of those two cubes is:

In our problem, a = 4 (since

= 64) and b = y (since

. Plug these values into the rule to find the factor of

:

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Answer: