Answer:
2^36 3^48 is the correct answer
20 * 4 = 80 = perimeter of the square 24*2 = 48, the length of two sides of the rectangle. Deducting from 80 we are left with 32 and dividing by 2 we know the rectangle is 24 x 16 Area = L * W, so you can calculate the area of the rectangle.
384
First arrange numbers
14,15,15,17,19,20,21,23,24
19 is median
15+15/2=15 is first quartile
Answer:
The correct answer is x =9
Step-by-step explanation:
It is given that, the polygons are similar.
Then the ratio of corresponding sides are equal.
<u>To find the ratio of corresponding sides</u>
corresponding sides are
16 and 12 ratio = 12/16 = 3/4
32 and 24 ratio = 24/32 = 3/4
x - 1 and 6
y + 1 and 21
Therefore we can write 6/(x-1) = 3/4
<u>To find the value of x</u>
6/(x-1) = 3/4
24 = 3(x-1)
24 = 3x - 3
3x = 27
x = 27/3
x = 9
Therefore the value of x = 9
Answer:
(3 x + 5) (x + 5)
Step-by-step explanation:
Factor the following:
3 x^2 + 20 x + 25
Hint: | Factor 3 x^2 + 20 x + 25 by finding factors of 3×25 whose sum is 20.
Factor the quadratic 3 x^2 + 20 x + 25. The coefficient of x^2 is 3 and the constant term is 25. The product of 3 and 25 is 75. The factors of 75 which sum to 20 are 5 and 15. So 3 x^2 + 20 x + 25 = 3 x^2 + 15 x + 5 x + 25 = 5 (3 x + 5) + x (3 x + 5):
5 (3 x + 5) + x (3 x + 5)
Hint: | Factor common terms from 5 (3 x + 5) + x (3 x + 5).
Factor 3 x + 5 from 5 (3 x + 5) + x (3 x + 5):
Answer: (3 x + 5) (x + 5)