
Let's write the equation of line in slope point form ~




Now, let's use this equation of line to plot two points ~
- when x = 0, y = (3 × 0) - 1 = - 1
- when x = -1, y = (3 × -1) -1 = -4
Now, plot these points on graph ~
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone =
r² +
r
(where r = radius of the base and
= slant height)
Given slant height
= 10 and surface area = 188.5
Surface area =
r² +
r
188.5 =
r² + 10
r
r² + 10
r - 188.5 = 0
r =
= 4.219621117...
Volume of a cone = (1/3)
r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of
using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² =
²
h² =
² - r²
h = √(
² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)
r²√(
² - r²)
Given slant height
= 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:
The y intercept is (0,-22)
Step-by-step explanation:
To find the y intercept, set x =0 and solve for y
f(0)=-0^2+10*0-22
= -22
Answer:
gas
Step-by-step explanation:
The answer will be total green plus total red divided by all existing marbles:
(1010 + 4040) / (1010 + 4040 + 5050) = 5050 / 10100 = 1/2 = 0.5
Answer: 0.5