Answer:
Last option (the drawn)
Step-by-step explanation:
The following points correspond to f:
(3, -2), (9, 2)
The slope of the line (m) is:
m = (2 - (-2))/(9 - 3) = 4/6 = 2/3
Therefore, the first option is incorrect (its slope is 3/2).
To find the y-intercept (b) of the line, we replace a known point and the slope into the general equation:
y = mx + b
2 = 2/3(9) + b
b = 2 - 6
b = -4
Therefore, the third option is incorrect (it add 4 instead of subtracting 4).
Replacing x = 6 into the equation we get:
y = 2/3(6) - 4
y = 0
then, point (6, 0) belongs to the line. Therefore, the second option is incorrect (it has the point (6, 1) instead); and the fourth option is correct (it is a line that includes points (0, -4) and (6, 0)).
Answer:
The answer to number 1 is geometric sequence of A>
Step-by-step explanation:
A = L * W
A = 45
L = 2W + 1
45 = W(2W + 1)
45 = 2W^2 + W
2W^2 + W - 45 = 0
(2W - 9)(W + 5) = 0
W + 5 = 0
W = -5...not this one because it is negative
2W - 9 = 0
2W = 9
W = 9/2
W = 4.5 <=== the width is 4.5 ft
L = 2W + 1
L = 2(4.5) + 1
L = 9 + 1
L = 10 <=== the length is 10 ft