Answer:
y = 5/3x +5
Step-by-step explanation:
The two-point form of the equation of a line is useful here.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (0 -(-5))/(-3 -(-6))(x -(-6)) -5
y = 5/3(x +6) -5
y = 5/3x +5 . . . . slope-intercept form
5x -3y = -15 . . . .standard form
_____
There is no "fully reduced" form of the equation of a line. There are slope-intercept form, point-slope form, two-point form, standard form, general form, intercept form, and some others. We assume that "fully reduced" applies to any fractions in the equation. The "slope-intercept" form has a fraction, so perhaps that's the form that is required.
Answer:
11 feet (Option C)
Step-by-step explanation:
Let the longer side be l and the shorter side be b.
We know that,
→ Perimeter of rectangle = 2 ( longer side + shorter side )
Here,
- Perimeter of rectangle is 32 feet.
→ 32 = 2 (l + b)
→ 32 = 2l + 2(5)
→ 32 = 2l + 10
→ 32 - 10 = 2l
→ 22 = 2l
→ 
= l
→ 11 = l
→<u> 11 feet = longer side</u>
<u>Length</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>longer</u><u> </u><u>side</u><u> </u><u>is</u><u> </u><u>1</u><u>1</u><u> </u><u>feet</u><u>.</u>
F(0) = -1/5
f(4) = 7/17
f(4) - f(0)
average rate of change = --------------
4 - 0
(7/17) - (-1/5)
average rate of change = ---------------------
4
52/85
average rate of change = ---------
4
average rate of change = 52/85 *4
average rate of change = 208/85
Act as if what you do makes a difference. It does.
Answer:
The probability that Aaron goes to the gym on exactly one of the two days is 0.74
Step-by-step explanation:
Let P(Aaron goes to the gym on exactly one of the two days) be the probability that Aaron goes to the gym on exactly one of the two days.
Then
P(Aaron goes to the gym on exactly one of the two days) =
P(Aaron goes to the gym on Saturday and doesn't go on Sunday) +
P(Aaron doesn't go to the gym on Saturday and goes on Sunday)
- If Aaron goes to the gym on Saturday the probability that he goes on Sunday is 0.3. Then If Aaron goes to the gym on Saturday the probability that he does not go on Sunday is 1-0.3 =0.7
- Since the probability that Aaron goes to the gym on Saturday is 0.8,
P(Aaron goes to the gym on Saturday and doesn't go on Sunday) =
P(the probability that Aaron goes to the gym on Saturday)×P(If Aaron goes to the gym on Saturday the probability that he does not go on Sunday)
=0.8×0.7=0.56
- The probability that Aaron doesn't go to the gym on Saturday is 1-0.8=0.2
- And if Aaron does not go to the gym on Saturday the probability he goes on Sunday is 0.9.
Thus, P(Aaron doesn't go to the gym on Saturday and goes on Sunday) = P(The probability that Aaron doesn't go to the gym on Saturday)×P(if Aaron does not go to the gym on Saturday the probability he goes on Sunday)
=0.2×0.9=0.18
Then
P(Aaron goes to the gym on exactly one of the two days) =0.56 + 0.18 =0.74
