Answer:
5 cm
Step-by-step explanation:
We know these are similar triangles, so we can use ratios of side lengths
x/40 = 4/32
Using cross products
32x = 4*40
32x = 160
Divide each side by 32
32x/32 = 160/32
x =5
Answer:
- C) (x − 3)2 = 25
- C) Factor out 4 from 4x2 + 40x.
Step-by-step explanation:
1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.
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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.
Here, that looks like ...
4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4
4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation
4(x +5)² = 180 . . . . . . . . . . . written as a square
Answer: What is the questions
Step-by-step explanation:
Answer:
2/21
Step-by-step explanation:
The question is badly formatted so cannot match the answer choice
Total number of tiles = 4 + 5 + 6 = 15
P(A) = P(drawing a black tile from 15 tiles) = 4/15
After event A, there are 14 tiles left : 3 black, + 5 white + 6 blue
P(B/A) = P(drawing white tile after a black tile has been drawn) = 5/14
P(A and B) = P(A).P(B/A) = 4/15 x 5/14 = 2/21
Note that P(B) = 5/15 since we are talking about independently drawing a white tile from the original stack of tiles
