4y + 5 = -31
4y +(5 minus 5) = -31 minus 5 (in affect move the 5 "over")
4y =-36 ( - 31 minus 5 = -36)
4y/4 = -36/4 (divide the 4 from both sides)
y= -9 (-36 divide by 4 = -9)
hope this helps
Answer:
7.) 16.7
Step-by-step explanation:
7). First you have to find the length of the line with the triangle that is at a 90 angle with the longest side of the triangle
Using the pythagrorem theorem a² + b² = c²
4² + b² = 5²
b² = 5² - 4²
b² = 25 - 16
b² = 9
√b² =√9
b = 3
next you do the same thing to find the missing segment of the longest side
3² + b² = 13²
b² = 169 - 9
b² = 160
b = √160 or ≈ 12.7
12.7 + 4 = 16.7
so 16.7 is the length of that side
Hello :)
The first one would be a rotation because it was easily rotated upward , it looks like it was rotated maybe 90°, The second one would be translation because it is simply moved upward and moved slightly to the right without be resized, rotated, or anything. The third one would definitely be a reflection because it appears to be flipped across the x axis. The fourth one i'm not really sure but i'm going to guess it is a rotation because it is turned in a different direction from the original figure.
Answer:
4/7
Step-by-step explanation:
The conditional probability of A and B happening : P(AnB) is 1/6, and the conditional probability of B happening : P(B) is 7/24, the probability of A happening is 1/6 : 7/24 = 4/7
P(A/B) = Given that B occurs, find the probability of A occuring