The y intercept is -2 because in the formula y=mx+ b so b is your y intercept
Answer:
The answer to your question is Ф = 45°
Step-by-step explanation:
Data
A (1, 4)
B (-1, 2)
Process
1.- Find the slope of the line
formula
m = 
Substitution
m = 
Slope definition, is the steepness of a line and also is the tangent of the angle of the line.
tangent Ф = slope
tangent Ф = 1
Ф = tangent⁻¹ 1
Ф = 45°
Answer:
1/3 * (8 + 4)
Step-by-step explanation:
Expression which represents 1/3 tines the sum of 8 and 4
Expressing mathematically,
Sum of 8 and 4 is written as (8 + 4)
1/3 of the sum is expressed as ; 1/3 x (8 + 4)
Hence,
1/3 * (8 + 4)
1/3 * 12
= 4
Expression is 1/3 * (8 + 4)
Result = 4
Answer:
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
Step-by-step explanation:
A. The formula for the volume of a hemisphere is ...
V = (2/3)πr³
For a radius of 5 m, the volume is ...
V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³
__
B. The formula for the volume of a cylinder is ...
V = πr²h
For a radius of 5 m and a height of 12 m, the volume is ...
V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³
__
C. Then the total volume is ...
V = hemisphere volume + cylinder volume
V = 261.799 m³ +942.478 m³ = 1204.277 m³
__
Rounded to the nearest integer, the volumes are ...
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
_____
As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.