Answer:
D: The slope is 3
Step-by-step explanation:
To figure out the slope, which is always a constant, you simply figure out the average displacement using the points we already know. This is described by the equation y2-y1/x2-x1. Let's use the ordered pairs (-3, 2) and (-1, 8) to figure this out.
8-2/-1-(-3) = 6/2 = 3
Another method you could use is to graph the points and figure out how many units y has to go up for every x over, or the "rise over run"
Either way, your slope is 3.
Answer:
72 square units
Step-by-step explanation:
The figure shown has a uniform horizontal cross section, so is equivalent to a rectangle with length 12 and height 6. Its area is given by the rectangle formula:
A = LW
A = (12)(6) = 72 . . . . square units
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<em>Additional comment</em>
Essentially, the semicircle removed from the left side is tacked onto the right side. The rectangle area is unchanged by that.
I would have guessed point S is (3,0).
Answer:
b) It has a value less than 2
Step-by-step explanation:
Divide both sides of the inequality by 12 to get
t < 2 so the answer is b)
Answer:
A) (x, y) = (2-3n, 4n-1) . . . . for any integer n
B) no solution
Step-by-step explanation:
A) All coefficients have a common factor of 3, so any solution of the reduced equation will be a solution of the given equation. The reduced equation is ...
4x +3y = 5
A graph of the original shows (x, y) = (2, -1) is a solution. Then other solutions will be those values with a multiple of 4 added to y and the same multiple of 3 subtracted from x:
(x, y) = (2 -3n, 4n -1)
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B) The left side of the equation is an even number for any integer values of x and y. The right side is an odd number. There can be no solution.
