Answer:
-10
Step-by-step explanation:
Solving for y gives ...
20y = 2x +6
y = 2/20x +6/20 = 1/10x +3/10
The slope of the given line is the coefficient of x: 1/10. The slope of the perpendicular line is the opposite reciprocal of this: -1/(1/10) = -10.
The perpendicular line has a slope of -10.
Slope of 2y = x + 5:-
This is y = 0.5 x + 2.5 in slope intercept form so its slope = 0.5
Slope of the line perpendicular to it = -1 / 0.5 = -2
it passes through (2 , 1) so we have
y- 1 = -2(x - 2)
y = -2x + 4 + 1
The answer is y = -2x + 5
% Increase = Increase/original number x 100
Let I represent increase
((58-32)/32) x 100 = I
58oz - 32oz = 26oz
26/32 x 100 = I
0.8125 x 100 = I
Increase = 81.25%
Before we do anything we must convert radians to degrees using a table. pi/3 radians equals 60 degrees, meaning the central angle of this arc is 60 degrees. This also tells us that the length of the arc is 1/6 of the whole circumference. All we have to do now is calculate the circumference which is diameter x pi.
arc = 1/6 pi x 36
arc = 6pi cm
A. Yes, the value of this function is 8 when x is 15.
B. False. I noted right away that the ordered pair (0,5) is not included, and some of the ordered pairs included do not represent the given function.
C. Yes, f(5) = 6. See (A) above.
D. False. The range of this function is the set of integers between 5 and 13 inclusive.
