Answer:
change the equation into one variable.
2 y equals 10 + x
y equals 5 + x by 2
now put that into the second equation
-3x + b parentheses 5 + x / 2 equals 11
-3x+b(5+ x/2)
-3x + b5 + bx/2 = 11
The two are perpendicular to each other because the two slopes are negative reciprocals
(Y2 - Y1) / (X2 - X1)
First slope:
( 1 - (-1)) / (-11 - (-6))
2/-5
Second slope:
(-13 - (-8)) / (-5 - (-3))
-5/-2 or 5/2
You know when two aliens are perpendicular when you multiply the two slopes and get -1 as the product
-2/5 X 5/2 = -1
Thus the two lines are perpendicular to each other.
The formula for the circumference of a circle is 3,14 (pi) x diameter. We know that the radius is half of the diameter so therefore you do 16x2= 32 —> 3,14x32= 100,48mm. Answer: 100.48mm
It’s no graph to give answer to
The period is 2.
Normally the period of sin(x) is 2pi, but the pi inside the sin(pix) is a horizontal compression by a factor of 1/pi. So 2pi·1/pi = 2
The "1/2" and "+3" do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.