Answer:
90 degree rotation in the clockwise direction.
Step-by-step explanation:
Point A transforms to A'
- that is x coordinate: 2 ---> 3
and y coordinate 3 ---> -2
So the rotation is clockwise from Quadrant1 to Quadrant 4.
The slope of OA = 3/2 and the slope of OA' = -2/3.
The product of these slopes = 3/2 * -2/3 = -1 so the lines are perpendicular - that is the line has passed through an angle of 90 degrees.
A similar result occurs if we consider points B, C and D.
Answer:
The answer is 2 not 11.6
Step-by-step explanation:
Answer:
(- ∞ , 88)
Step-by-step explanation:
1) m - 88 < - 176
add 88 to both sides
2) m < -88
3) interval notation: ( - ∞, 88)
Answer:
2x
Step-by-step explanation:
f(x) – g(x)
f(x) = 5x – 3 and g(x) = 3x – 3
f(x)- g(x) = 5x – 3 -( 3x – 3)
Distribute the minus sign
5x -3 -3x+3
Combine like terms
5x-3x-3+3
2x
Answer:
![15 in { }^{2}](https://tex.z-dn.net/?f=15%20in%20%7B%20%7D%5E%7B2%7D%20)
Step-by-step explanation:
![area \: of \: \: a \: triangle \: = 1 \2 \: \ b \: \times h \\ = 1 \2 \:(6in \: \times 5in) \\ = 1(3in \: \times 5in) \\ = 15in {}^{2}](https://tex.z-dn.net/?f=area%20%5C%3A%20of%20%5C%3A%20%20%5C%3A%20a%20%5C%3A%20triangle%20%5C%3A%20%20%3D%201%20%20%5C2%20%5C%3A%20%5C%20b%20%5C%3A%20%20%5Ctimes%20h%20%5C%5C%20%20%20%20%3D%201%20%5C2%20%5C%3A%286in%20%5C%3A%20%20%5Ctimes%205in%29%20%5C%5C%20%20%3D%201%283in%20%5C%3A%20%20%5Ctimes%205in%29%20%5C%5C%20%20%3D%2015in%20%7B%7D%5E%7B2%7D%20%20%20)