Answer:
1).
A. Reflection across the y axis.
2).
A. Clockwise rotation about point B and a translation 20 units down.
Answer:
5x + 4y + 12 = 0
Step-by-step explanation:
Start with the point-slope equation of a straight line: y - k = m(x - h):
Here we are given the point (h, k): (-8, 7) and the slope m = -5/4. Inserting this info into the equation give above, we get: y - 7 = (-5/4)(x + 8).
We must put this equation into "standard form" Ax + By + C = 0.
Multiply all three terms by 4 to remove fractions: 4y - 28 = -5(x + 8), or
4y - 28 + 5x + 40 = 0
Rearranging these terms, we get 5x + 4y + 12 = 0, which is the desired equation in standard form.
Answer:
30240
Step-by-step explanation:
There are 10 possibilities for the first time slot.
After that, there are 9 possibilities for the second time slot.
So on and so forth.
The number of ways five time slots can be assigned is:
10×9×8×7×6 = 30240
Or, using permutation notation, ₁₀P₅.
12.5/100
This can be simplified to:
125/1000
Fist subtract 5 from both sides
Equation is now 2s is greater than or equal to 44
Now divide by 2
Equation is now s is less than or equal to 22
Be sure to flip equality sign when dividing
