Step-by-step explanation:
Using the distance formula
√(x1-x2)²+(y1-y2)²
√(-3+5)²+(7-2)²
√(2)²+(5)²
√4+25
√29 units
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Answer:
A.
Step-by-step explanation:
Have a nice day/night :)
Answer:
Step-by-step explanation:
<u>Set inequality as per question:</u>
<u>We know that:</u>
- V = πr²h
- h = 10 cm
- π = 3.14
<u>Substitute and solve for r:</u>
- 2000 ≤ 3.14*10r² ≤ 2500
- 2000 / 31.4 ≤ r² ≤ 2500 / 31.4
- 63.69 ≤ r² ≤ 79.62
- 64 ≤ r² < 81
- r² = 64 ⇒ r = 8 cm is the possible radius
For this case we have that by definition, the slope of a line is given by:

Where:
and
are two points through which the line passes.
According to the figure we have to, the line goes through:

Substituting we have:

Thus, the slope of the line is -1.
Answer:

Answer:
Step-by-step explanation:
If the position function is
and we are looking for time when the height is 0, we sub in a 0 for h(t) and solve for t:
and the easiest way to do this is to factor by taking the GCF of -40t:
0 = -40t(t - 5) and by the Zero Product Property,
-40t = 0 or t - 5 = 0. Solving for t, we get
t = 0 (which is before the object is launched) and
t = 5 (which is how long it takes the object to go from the ground, up to its max height, and then back to the ground again).
Your choice is c) 5