Answer:
x = 6 cm
Step-by-step explanation:
Given ratio of sides of similar figures = a : b , then
ratio of areas = a² : b²
Here ratio of areas = 5 : 45 = 1 : 9 , so
ratio of sides = : = 1 : 3
Thus side of B is 3 times side of A
x = 3 × 2 = 6 cm
You can rewrite the second equation because you know what y equals, so you can write it as 2x + x + 3 = 9
3x + 3 = 9
- 3
3x = 6
÷ 3
x = 2
And now you use the equation of what y equals and substitute in the value of x, so y = 2 + 3
y = 5
So your final answer is A. (2, 5). I hope this helps!
Sixty four
6 tens 4 ones
64 ones
60+4
8 to the power of 2
Answer:
∆pkl and ∆nkl
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair , like ∠pkl and ∠nkl in the figure above, are always supplementary.
Answer: fourth optionExplanation:1) the pair x = 3 f(x) = 0, leads you to probe this:
f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0
=> A [4^2] = - C
A[16] = - C
if A = 1/4
16 / 4 = 4 => C = - 4
That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4
2) Now you verify the images for that function for all the x-values of the table:
x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check
x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check
x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.
Therefore, you have proved that the answer is the fourth option.