1. Cross multiply
35x = 5(11)
35x = 55
Divide both sides by 35
x = 55/35
x = 11/7
2. (x - 2)/x = 3/8
Cross multiply
3x = 8(x - 2)
3x = 8x - 16
Subtract 8x from both sides
-5x = -16
divide both sides by -5
x = -16/-5
x = 16/5 OR 3 1/5
3. (a + 1)/(a - 1) = 5/6
cross multiply
6(a + 1) = 5(a - 1)
distribute
6a + 6 = 5a - 5
subtract 5a from both sides
a + 6 = -5
subtract 6 from both sides
a = -11
4. (1/3)x - 4 = (2/3)x + 6
multiply each term by 3 to clear the fractions
x - 12 = 2x + 18
subtract x from both sides
-12 = x + 18
subtract 18 from both sides
-30 = x
Answer:
y= 3x-17
Step-by-step explanation:
When finding a parallel equation to y=mx+b, mx will always stay the same. So we have to find b.
In order to do this you plug the parallel lines passing point into the equation.
-5(y) goes into the y's spot. 4(x) goes into the x's spot.
-5 = 3 x 4 + b
-5 = 12 + b
-5 - 12 = 12 - 12 + b
-17 = b
y=3x-17
Answer:
x=3
Step-by-step explanation:
We are given the equation
This can be rewritten as
Now using the quotient rule for logarithms we can combine these two
Next we can remove the log by using an inverse operation
Now we can solve for x
Answer:
C
Step-by-step explanation:
Oblique. The other three are used to describe a polyhedron. They are related by the following formula
V + F - E = 2.
Where
- V = number of vertexes
- F = the number of faces
- E = edges
For example consider a common cube, like a sugar cube.
It has 6 faces (f)
It has 8 vertexes (V)
It has 12 edges. E
6 + 8 - 12 = 14 - 12 = 2
