Answer:
Step-by-step explanation:
2.5x+8y=200
We want to get this in slope intercept form so we will solve for y
Subtract 2.5x from each side
2.5x-2.5x+8y=-2.5x +200
8y = -2.5x +200
Now divide by 8 on both sides
8y/8 = -2.5x/8 + 200/8
y = -.3125x +25
The y intercept is 25, so plot a point there
-.3125 = -5/16
Go down 5 and to the right 16 and plot a point. Connect the two points to make a line.
Answer:
<P = 27°
Step-by-step explanation:
In a triangle, the sum of all three interior angles = 180
So triangle NOP, <N + <O + <P = 180
Plug in
9x - 1 + 3x - 2 + 2x + 1 = 180
14x = 2 = 180
14x = 182
x = 13
<P = 2x + 1
<P = 2(13) + 1
<P = 26 + 1
<P = 27
Answer:
<P = 27°
Answer:
Step-by-step explanation:
Formula
A = L * W
Givens
W = W
L = W + 2
Solution
Area = L*W
Area = (W+2)*W = 80 Remove the brackets.
Area = W^2 + 2W = 80 Subtract 80 from both sides.
Area = w^2+2W-80=80-80 Combine
Area = w^2 +2W-80 = 0 Factor.
Area = (w+10)(w - 8) = 0
W + 10 = 0 won't work
W = - 10 which isn't possible
W- 8 = 0
W = 8
L = 8 + 2 = 10
The answer looks like A
Answer:
Step-by-step explanation:
Since the buoy is going up and down, its motion is oscillatory, and therefore, it can be described by a trigonometric function.
The buoy starts at height of 0 in relation to the sea level, which means at time 
, 
, this tells us that trigonometric function modeling the buoy must be the sine function since for
, at , .
The maximum displacement of the buoy in either direction is 6 feet, this means we have
now we need to figure out 
.
The time it takes the buoy to get from its lowest point to its highest point is 4 seconds, that means the period 
of oscillation is 
seconds. The buoy returns to to the same place after one period, this means if the buoy started from 0, it will return to 0 after 8 seconds; therefore, from the we have:
Now the final equation looks like
Assume that on Tuesday he read 1/2 pages out of 520 pages not what's left of the book minus 1/5 of the pages that he read on Sunday.
Cody read 260 pages on Saturday.
