Answer:
Step-by-step explanation:
A rectangle is shown with length x plus 10 and width 2 x plus 5.
so the rectangle area = length * width
= (x + 10) * (2x + 5)
an unshaded square with length x plus 1 and width x plus 1
so the unshaded square area = (x + 1) * (x + 1)
the shaded area = rectangle area - square area
= (x + 10) * (2x + 5) - (x + 1) * (x + 1)
= (2x^2 + 20x + 5x + 50) - (x^2 + x + x + 1)
= x^2 + 23x + 49
Answer:
Pythagorean Theorum is defined in Mathematics by a^2 + b^2 = c^2.
One leg (a) is 5. The other leg (b) is 13.
Let's use Pythagorean Theorum.
5^2 + 13^2 = c^2
5 • 5 = 25
13 • 13 = 169
25 + 169 = 194.
Step-by-step explanation:
Hope this helps
Answer:
orange juice is better than Apple Juice
Let

the length and

the width. By the ratio of the sides:

Now, we'll find the perimeter p. We'll use the formula below:

The area of a rectangle is

. Then:
They want you to write the number in index form.
The number is 5N^2, where N = 3 x 5^2 x x^3
So:
5N^2 = 5 x (3 x 5^2 x x^3)^2
= 5 x (3^2 x 5^4 x x^6)
= 3^2 x 5^5 x x^6
or a bit neater looking: 3² ₓ 5⁵ ₓ x⁶