Answer:
Either b or e
Step-by-step explanation:
Answer:
(2, 2) states x=2 and y=2
Considering the inequality:
Is y less than or equal to 2 when x = 2?
Yes, (2, 2) is a solution for the inequality.
Answer:
y = -2x -3
Step-by-step explanation:
The line crosses the y-axis at -3, so that is the y-intercept.
It has a "rise" of -2 units for each "run" of 1 unit, so the slope is -2. (For example, from point (-1, -1) to point (0, -3).)
The slope m and y-intercept b are used in the slope-intercept form of the equation of a line:
y = mx + b
For the values this line has, the equation is ...
y = -2x -3
Answer:
i. Colonel is about 201 feet away from the fire.
ii. Sarge is about 125 feet away from the fire.
Step-by-step explanation:
Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.
The total angle at the campfire from both the Colonel and Sarge = +
=
Thus,
<CAB = - =
<CBA = - =
Sine rule states;
= =
i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;
=
=
=
cross multiply,
b =
= 200.8993
Colonel is about 201 feet away from the fire.
ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;
=
=
=
cross multiply,
a =
= 124.8073
Sarge is about 125 feet away from the fire.
Answer:
r = ∛(3V/4π)
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³.
We want to solve this first for r³ and then for r.
Multiplying both sides of V = (4/3)πr³ by 3 yields an equation without fractions: 3V = 4πr³.
Dividing both sides of this equation by 4π isolates r³:
3V
r³ = -------
4π
To find r, take the cube root of both sides of
3V
r³ = -------
4π
obtaining r = ∛(3V/4π)