PICTURE1: They are both 45
PICTURE2: 810
Answer:
<h2>The x-coordinate after the rotation is -10.</h2>
Step-by-step explanation:
A 810° rotation is equal to a 90° rotation. So, the transformation described gives the same result than rotating 90° only.
A 90° counterclockwise rotation is defined by the rule
The given coordinate is 
. Using the rule, we have
Therefore, the x-coordinate after the rotation is -10.
Answer:
<h2>x = -4 ± 2√(3) </h2><h2 />
Step-by-step explanation:
Discriminant Δ = √(8²-4×(1)×(4)) = √(48) = √(4×12) = √(4)×√(12) = 2√(12)
then x = (-8 ± 2√(12))÷2 = -4 ±√(12) = -4 ±√(3×4) = -4 ± 2√(3)
Answer:
6/10?
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
This problem is an overlap problem. First we have that 1/8 total tried out for football team, 1/6 total tried out for baseball team and 1/12 of the students that tried out for both football and baseball team.
So if we want to find those who just tried football, we perform the following operation:
1/8 - 1/12 = 1/24.
So we know that 1/24 tried out just football.
If we want to find all those who tried out just for baseball, we perform the following operation:
1/6 - 1/12 = 1/12
So we know that 2/24 (1/12 multiplied by two) tried for both football and baseball and 3/24 tried out for football, it means that 2/3 of the boys who tried football also tried baseball.
