Answer:
r = 0.
Step-by-step explanation:
The slope = (y2 - y1) / (x2 - x1)
So (r - (-3)) / (-4-2) = -1/2
(r + 3) / -6 = -1/2
2(r + 3) = 6
2r + 6 = 6
2r = 6 - 6 = 0
r = 0 (answer).
Answer:
10
Step-by-step explanation:
1/3 of an hour is 20, and 1/3 of 30 questions is 10, so 10 questions completed per 20 minutes.
Answer: 32.23°
Suppose the setpoint of a helicopter is A and that of a car is C and that of the road is B
The distance from the helicopter to the car and the road forms a right triangle
=> ΔABC is a right triangle at B
=> the angle of depression from the helicopter from the car is ∠ACB
we have: ΔABC is a right triangle => sin ∠ACB = 24/45
=> m∠ACB = 32.23°
Step-by-step explanation:
Answer:
3.2
Step-by-step explanation:
Given the coordinates
X(4, -3)
Y(2, 1.5)
A(3, 3)
Z(4,-1)
We are to find the distance from point A to XZ
First let us get the coordinate XZ
According to vector notation XZ = Z-X
XZ = (4,-1)-(4,-3)
XZ = [(4-4),-1-(-3)]
XZ = (0, 2)
Next is to find the distance from A(3, 3) to XZ(0,2) using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
x1 = 3, y1 = 3, x2 = 0, y2 = 2
D = √(0-3)²+(2-3)²
D = √9+1
D = √10
D = 3.16
Hence the distance from point A to XZ to nearest tenth is 3.2
