Answer:
1. -8+3x
2. 51x-2+4x2 (squared)
3. 66x +324
4. 6x+2
5. 13 +13x
Step-by-step explanation:
I don't think I really understand the question but I tried to simplify the equations
Answer:
f^-1(x) = 1/5x + 1/5
Step-by-step explanation:
Switch the x and y values:
y = 5x - 1
x = 5y - 1
Put the equation back into y = form:
x = 5y - 1
x + 1 = 5y
1/5x + 1/5 = y
y = 1/5x + 1/5
f^-1(x) = 1/5x + 1/5
(1 point) let a=(2,4,−5)a=(2,4,−5), b=(−3,6,−5)b=(−3,6,−5), c=(−8,7,0)c=(−8,7,0), and d=(−3,5,0)d=(−3,5,0). find the area of the
maksim [4K]
Areas and volumes of parallelograms and parallelepipeds in 3 dimensions are often easily found by making use of the cross product of the direction vectors of their edges. For edge vectors v1 and v2 of a triangle, the area is ...
... A = (1/2)║v1 × v2║
that is, half the norm of the cross-product vector. The area of a parallelogram with those edge vectors is simply ...
... A = ║v1 × v2║
Here, direction vectors are ...
- ab = (-5, 2, 0)
- bc = (-5, 1, 5)
- cd = (5, -2, 0)
- da = (5, -1, -5)
We can see that ab = -cd and bc = -da, as required for a parallelogram.
The cross product ab × bc is (10, 25, 5), so the area of the parallelogram is
... ║(10, 25, 5)║ = √(10² +25² +5²) = √750
... Area = 5√30 ≈ 27.3861 . . . . square units (parallelogram area)
The areas of each of the mentioned triangles is half the area of the parallelogram, so is
... Area Δabc = Area ∆abd = (5/2)√30 ≈ 13.6931 . . . . square units (triangles)
A=lw
A/w=l
36/4=l
9=l
The length of the rectangle is 9cm
Answer:
A
Step-by-step explanation:
