Answer: A, x = square root of 60.
Step-by-step explanation:
Use the Pythagorean Theorem, a^2 + b^2 = c^2.
8^2 = 2^2 + x^2
x^2 = 8^2 - 2^2
x^2 = 64 - 4
x^2 = 60
x = sqrt of 60
I think its D. 32.6 s/ft and appoximatley 0.03 ft/s
Answer:
Combine the terms
300 + 70 = 370
5/10 + 8/100
Note that first, you must find common denominators. What you multiply to the denominator, you multiply to the numerator. Multiply 10 to the numerator and denominator of 5/10
(5/10)(10/10) = 50/100
50/100 + 8/100
Combine the terms
50/100 + 8/100 = 58/100
370 58/100 is another way to write it
First, you have to find the equation of the perpendicular bisector of this given line.
to do that, you need the slope of the perpendicular line and one point.
Step 1: find the slope of the given line segment. We have the two end points (10, 15) and (-20, 5), so the slope is m=(15-5)/(10-(-20))=1/3
the slope of the perpendicular line is the negative reciprocal of the slope of the given line, m=-3/1=-3
step 2: find the middle point: x=(-20+10)/2=-5, y=(15+5)/2=10 (-5, 10)
so the equation of the perpendicular line in point-slope form is (y-10)=-3(x+5)
now plug in all the given coordinates to the equation to see which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, so yes, (-8, 19) is on the perpendicular line.
try the other pairs, you will find that (1,-8) and (-5, 10) fit the equation too. (-5,10) happens to be the midpoint.
Answer:
6: compression 7: translation 8: Reflection
