Answer:
(-3 , 1)(-2,4) (4,5) (2,0)
Step-by-step explanation:
Rotation around center (x₀ , y₀), counterclockwise rotation θ degree
x₂ = (x₁-x₀)cosθ - (y₁-y₀)sinθ + x₀
y₂ = (x₁-x₀)sinθ + (y₁-y₀)cosθ + y₀
A(-2.4) -> counterclockwise rotation 90°
F(x,y): x = (-2+1)cos90° - (4-2)sin90° + (-1) = -3
y = (-2+1)sin90° + (4-2)cos90° + 2 = 1
F (-3 , 1)
Use the above formula to calculate other 3 points: (-2,4) (4,5) (2,0)
Answer:
A
Step-by-step explanation:
Well considering how the graph looks, from the x-axis(0,0), the line(x) moves upwards on the left before itf(x) moves downwards on the right
So what we're dealing with here is a similar triangle situation. Since ML is a midsegment, that means that IL and LJ are congruent. So, IL=LJ=13. This means that the whole side IJ is 26 (13+13=26). We also know that triangle IML and triangle IKJ are similar triangles, so their sides are proportional. This means that we can set up the ratio:
12/13 = x/26
and solve for x.
After multiplying 26 to both sides of the equation, we find that x=24, so KJ=24.
Answer
Sal spent 43 minutes jogging per day last week.
Elena spent 45 minutes jogging per day last week.
Step-by-step
Part 1: Find the number of minutes Sal jogged.
1. Find the number of minutes out of the week that were spent jogging.
240 - 25 = 215
Sal spent 215 minutes jogging.
2. Find the number of minutes per day he spent jogging.
215 / 5 = 43
Sal spent 43 minutes jogging per day last week.
Part 2: Find the number of minutes Elena jogged.
1. Find the number of minutes out of the week that were spent jogging.
300 - 15(5) = 300 - 75 = 225
Elena spent 225 minutes jogging.
2. Find the number of minutes per day she spent jogging.
225 / 5 = 45
Elena spent 45 minutes jogging per day last week.
Answer:
Translate 10 units right, 9 units up
Step-by-step explanation:
translations simply take the image and move it up or down or side to side, reflections flip the image, dilation changes the dimensions of an image, and rotation rotates an image on its origin point.
