<span>I think the height is 2/3 that of a side of the base. If that is correct, then the height is h = 2/3s.
The formula for the volume of a pyramid is \[V=\frac{ 1 }{ 3 }s ^{2}h\]
Normally it would be B for base area, but since this is a square and the height is in terms of s, that would be the formula.
If we find the area based on the fact that h = 2/3s, then it appears that the formula would be
V=1/3s^2 x 2/3s
If you multiply that all out, it would be V= 2 / 9s ^3
</span>
9514 1404 393
Answer:
f(3) = 9
Step-by-step explanation:
The table entry ...
x ... f(x)
3 ... 9
means f(3) = 9.
The value of y varies directly as the square of x and y = -12 when x = 2 then the value of y when x = -4 exists y = 24.
<h3>What is meant by direct variation?</h3>
When two variable quantities contain a constant ratio, their relationship exists comprehended a direct variation. It exists said that one variable varies directly as the other. The formula for direct variation is y = kx, where k exists the constant of variation.
The constant value (often written k) relating amounts that rise or fall uniformly together. It exists the ratio of the amounts y and x:
k = y/x.
Put another way: y = kx.
Accordingly, the equation has the form y = kx, where k may be any number.
Substituting y = -12 when x = 2, we get
-12 = k × 2
simplifying the above equation, we get
⇒ k = -6
Therefore, the required equation exists y = -6x.
The value of y when x = -4 is y = -6 × -4 = 24.
To learn more about direct variation refer to:
brainly.com/question/6499629
#SPJ1
Answer:
k = -144
Step-by-step explanation:
Answer: 1) y = 4x + 5
2) y = 3x + 2
3) y = (-5/6)x + 1/3
<u>Step-by-step explanation:</u>
Use the Point-Slope equation: y - y₁ = m(x - x₁) where
- (x₁, y₁) is a point on the line
- m is the slope
<u>(x₁, y₁) = (-1, 1) m = 4</u>
y - 1 = 4(x + 1)
y - 1 = 4x + 4
y = 4x + 5
<u>(x₁, y₁) = (1, 5) m = 3</u>
y - 5 = 3(x - 1)
y - 5 = 3x - 3
y = 3x + 2
<u>(x₁, y₁) = (-2, 2) m = -5/6</u>
y - 2 = -5/6(x + 2)
y - 2 = (-5/6)x - 5/3
y = (-5/6)x + 1/3
