Answer:
So, the following statement is a TRUE statement.
Step-by-step explanation:
In geometry Cavalieri's priciple states that:
Cavalieri's Principle: If, in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal.
Hence, the given statement:
Cavalieri's principle states that two solids with equal heights and base areas have equal volumes is a TRUE statement.
Answer:
Technically not on a graph but on a table yes it matter but here if I were you I would do (2,2) and (-1,-4)
Step-by-step explanation: y=mx+b
(2,2) and (-1,-4) 2=2(2)+b Answer is: y=2x+(-2)
x1 y1 x2 y2 2=4+b
-4-2=-6 -2=b
-1-2=-3 y-intercept
m=2
slope
Answer:
(x - 3) and (x - 2)
Step-by-step explanation:
Using the method of long division to divide the polynomial by x + 4
x² - 5x + 6
-------------------------------
x + 4 | x³ - x² - 14x + 24
x³ + 4x²
---------------------------
- 5x² - 14x + 24
- 5x² - 20x
-------------------------------
6x + 24
6x + 24
--------------------------------
0 0
The quotient is x² - 5x + 6 = (x - 2)(x - 3)
x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form
|
Answer:
The rate of change in the submarine's elevation is 26.0 feet per second.
Step-by-step explanation:
She begins 151 feet below sea level
Thus, her initial point is y₁ = 151 feet below sea level
i.e. at t₁=0 seconds, y₁ = 151 feet below sea level
After descending for the 3 seconds, she is 229 feet below sea level.
Thus, her second point is y₂ = 229 feet below sea level after 3 seconds
i.e. at t₂=3 seconds, y₂ = 229 feet below sea level
The rate of change is basically the slope. Thus, the rate of change can be obtained by taking the slope.
slope = rate of change = (y₂ - y₁)/(t₂ - t₁)
= (229 - 151) / (3 - 0)
= 78/3
= 26.0
Therefore, the rate of change in the submarine's elevation is 26.0 feet per second.
10:1
Explanation: Divide 1000 meters by 1000 to decrease it to 1 so 10000 divided by 1000 is 10.
