Given data:
The first point given iis (a, b)=(-6,2).
The second point given is (c,d)=(0, -6).
The expression for the slope is,
m=(d-b)/(c-a)
Substitute the given points in the above expression.
m=(-6-2)/(0-(-6))
=(-8)/(6)
=-4/3
Thus, the slope of the line is -4/3, so (C) option is correct.
Answer:
-14
Step-by-step explanation:
4+7=11 so therefore -3-11=-14
Answer:
cos theta=8/17
8/17=A/H
finding O,
O ² + A² =H ²
(8)²+O²=(17)²
64+O²=289
O²=289-64
O²=225
O=√225
O=15
we know that H=17, A=8, O=15
therefore, the other trigonometric ratios are
sinФ=O/H=15/17
tanФ=O/A=15/8
cosecФ=H/O=17/15
secФ=H/A=17/8
cotФ=A/O=8/15
hope it helps u!
Answer:
Her initial position was:
-29ft
Where we use the minus sign because this is below the ocean's surface.
Now we also know that she keeps descending at a rate of -29ft per minute, then if she keeps descending for t minutes, her position will be:
P(x) = -29ft - 29ft/min*t
Now, we also know that she does not want to descend more than 81ft below the ocean's surface, then we have the inequality:
P(x) ≥ -81ft
-29ft - 29ft/min*t ≥ -81ft
Now let's isolate t in one side:
- 29ft/min*t ≥ -81ft + 29ft = -52 ft
- 29ft/min*t ≥-52 ft
t ≤ -52ft/(- 29ft/min) = 1.79 min
Then the maximum amount of time that she can keep descending is 1.79 minutes.
1000 liters is equal to 1000000 milliliters
