the equation of a line in point-slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
to calculate m use the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂) = (1 1/2, 2 )
m =
=
= 
using (a, b) = (- 4, - 1), then
y + 1 =
(x + 4)
Answer:
Option (4).
Step-by-step explanation:
Outer diameter of the hollow metallic ball = 10 centimeters
Outer radius of this ball =
= 5 cm
Volume of the outer ball
= 
= 
Inner radius of the hollow metallic ball = (5 - 1) = 4 cm
Volume of the inner hollow ball
= 
Volume of the metal used in the metallic ball = 
= 
= ![\frac{4}{3}\pi [(5)^3-(4)^3]](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%5B%285%29%5E3-%284%29%5E3%5D)
Therefore, expression given in option (4) will be used to measure the volume of the hollow metallic ball.
The "distance formula" an extension of the Pythagorean Theorem is:
d^2=(x2-x1)^2+(y2-y1)^2 in this case:
d^2=(-8-7)^2+(-9--1)^2
d^2=(-15)^2+(-8)^2
d^2=15^2+8^2
d=√(15^2+8^2)
So the answer is 15^2+8^2
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: