Answer:
m = 1 and b = 5/7
Step-by-step explanation:
Take two of the points. The first two. (7, 5) and (8, 6).
We can find the slope using:
y2-y1/x2-x1
We can sub in the values:
6-5/8-7 = 1/1 = 1
So the slope is 1
now, putting this into y=mx+b, and using one of the coordinates from earlier, we can solve for b:
5 = (1)(7) + b
b = 5/7
Therefore, m = 1 and b = 5/7
Hope this helps!
Answer:
Hey there!
These triangles can be proved congruent by the HL Theorem.
Hope this helps :)
Answer:
View Image
Step-by-step explanation:
Can't teach you everything because these takes a while to teach.
But the key point is
mean the limit at x=n from the left side
means the limit x=n from the right side
means the limit at x=n from both side. this one does not exist if the left side and right side don't match up at the same point.
value at f(x) is the value at the solid circle.
the table on the right side just ask you to plug in -0.1, -0.05, -0.01, ...etc into x and find the value for the function given above.
If x is the distance the base of the ladder is from the wall, and y is the distance to top of the ladder is up the wall, then the Pythagorean theorem tells you
... x² + y² = 10²
Differentiating with respect to time, we have
... 2x·dx/dt + 2y·dy/dt = 0
... dy/dt = (-x/y)·dx/dt
We are given x = 6 ft and dx/dt = 3 ft/s. Using the first equation, we can find y as
... y = √(10² -6²) = 8
Then
... dy/dt =(-6/8)·(3 ft/s)
... dy/dt = -2.25 ft/s
The top of the ladder is sliding down the wall at -2.25 ft/s.
