Answer:
2 CUPS
Step-by-step explanation:
Write two equations, where "b" = bottles, and "c" = cups
2b +5c = b +7c -->
b = 2c
THERE ARE 2 CUPS IN A BOTTLE
Answer:
Find all polar coordinates of point P where P = (5 , -pi+%2F6 ).
There are two sets of possibilities.
(1) Same (positive) magnitude and an angle that is the same as the given angle, or differs from the given angle by an even multiple of pi:
P = (5, -pi%2F6%2B2n%2Api )
(2) Opposite (negative) magnitude and an angle that differs from the given angle by an odd multiple of pi:
(-5, -pi%2F6%2B%282n%2B1%29pi)
answer is: (5,-pi%2F6+%2B+2n%2Api) or (-5, -pi%2F6%2B%282n%2B1%29pi)
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
We ahve the slope m = 1/2 and the point (-2, 1). Substitute:
- point-slope form
Covert to the slope-intercept form (y = mx + b):
<em>use the distributive property</em>
<em>add 1 to both sides</em>
- slope-intercept form
Convert to the standard form (Ax + By = C):
<em>multiply both sides by 2</em>
<em>subtract x from both sides</em>
<em>change the signs</em>
- standard form
Convert to the general form (Ax+By+C=0):
<em>add 4 to both sides</em>
- general form
Answer: -pi/4 and 3pi/4
Step-by-step explanation:
Whenever you're given an inverse trig function like this, think "tangent of what gives me -1?" There are multiple ways in which you can solve this; knowing how tangent work, guess checking sin/cos to get -1, or using a calculator. The only way tangent can be an integer is if the sine and cosine of the angle are equal.
The only spots on the pi circle where this happens is pi/4, 3pi/4, 5pi/4, and 7pi/4. Answers B and D are correct
Answer:
P = 17t + 7
Step-by-step explanation:
P = 2L + 2w
L = 1.5t + 5
w = 7t - 1.5
P = 2*(1.5t + 5) + 2*(7t - 1.5)
P = 3t + 10 + 14t - 3
P = 17t + 7
