Answer:
EF = 6m.
Step-by-step explanation:
Given that:
1) All the edges of the pyramid in the model have length 12m.
So, AB = 12m
2) E is the middle of AT, F is the middle of BT
So, EF is a line segment connecting the midpoints of ΔATB
So, by applying The Triangle Mid-segment Theorem
EF // AB and EF = 0.5 AB
So, EF = 0.5 AB = 0.5 * 12 = 6m
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The Triangle Mid-segment Theorem:
The line segment connecting the midpoints of any two sides of a triangle has the following properties:
1) The line segment will be parallel to the third side.
2) The length of the line segment will be a half of the length of the third side.
Answer:
when (-1, -4) is substituted into the first equation it's true
when (-1, -4) is substituted into the second equation it's true
the ordered pair (-1, -4) is a solution to the systems of equation
Step-by-step explanation:
original equation
x-y=3
multiply both sides by 7
7x-7y = 21
add 7y to both sides
7x=7y + 21
substitute into second equation
(7y+21)-y=-3
simplify
6y+21=-3
subtract 21 from both sides
6y=-24
y=-4
substitute y into original equation
x-(-4) = 3
cancel out negative signs
x+4=3
subtract -4 from both sides
x=-1
Answer:
V = 32
Step-by-step explanation:
Comment
I think you should try this one yourself after I post my answer. Estimation is a very valuable tool -- the more you use it, the handier it gets.
Formulas
pi = 3
V = 4/3 * pi * r^3
Givens
r = 2
pi = 3
Solution
V = 4/3 * pi * r^3 Substitute values for symbols
V = 4/3 * 3 * 2^3 Cancel the 3s
V = 4 * 2^3 Expand the 2s
V = 4 * 2 * 2 * 2 Find V
V = 32
The inverse of f(x) would be f(x) = 2
- 8.
We can find this by taking the original equation and switching the x and f(x). Once we do this, we solve for the f(x) in its new place and that is the inverse equation. It is taken step by step for you below.
Take the original.
f(x) = 
Now switch the x and f(x)
x = 
Now square both sides.
= 
f(x) + 4
Now subtract 4 from both sides.
- 4 = f(x)
Now multiply both sides by 2.
2 - 8 = f(x)
And once you've returned to f(x) =, then you have your inverse.
