9514 1404 393
Answer:
C 18(2 + 3)
Step-by-step explanation:
The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...
36 + 54 = (18·2 + 18·3) = 18(2 + 3) . . . . matches choice C
Answer:
The height of the tree = 25 feet
Step-by-step explanation:
From the given diagram : EF = 5 feet, FA = 8 feet, CA = 40 feet
∠AFE = 90° and ∠ACB = 90°
To find : CB, the height of the tree.
Solution : In ΔAEF and ΔAB C
∠AFE = ∠ACB = 90°
∠A is common angle.
So, By AA postulate of similarity of triangle, ΔAEF ~ ΔABC
Now, sides of similar triangles are proportional to each other

Hence, The height of the tree = 25 feet
24 students / 3 groups = 8
8 parents will be needed to put the students into groups of 3.
Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9
balu736 [363]
Given:
The function is

To find:
The missing values for a, b, and c in the given table.
Solution:
We have,

At x=-2,

![\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cleft%28%5Cdfrac%7Ba%7D%7Bb%7D%5Cright%29%5E%7B-n%7D%3D%5Cleft%28%5Cdfrac%7Bb%7D%7Ba%7D%5Cright%29%5E%7Bn%7D%5Cright%5D)

At x=-1,

![\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cleft%28%5Cdfrac%7Ba%7D%7Bb%7D%5Cright%29%5E%7B-n%7D%3D%5Cleft%28%5Cdfrac%7Bb%7D%7Ba%7D%5Cright%29%5E%7Bn%7D%5Cright%5D)

At x=0,

![\left[\because a^0=1, a\neq 0\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20a%5E0%3D1%2C%20a%5Cneq%200%5Cright%5D)
Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.
Answer:
3/13(shade in 3)
Step-by-step explanation:
Make 52 denominators because it's of all cards. Next, find how many face cards there are for the numerator(3x4 since there are 3 face cards for each set and there are 4 sets) this gives you 12 and your fraction is now 12/24
Simplify that to above answer