Answer:
x = 3
Step-by-step explanation:
3(x + 2) = 6(x - 1) + 3
Divide both sides by 3.
x + 2 = 2(x - 1) + 1
Distribute the 2 on the right side.
x + 2 = 2x - 2 + 1
Combine like terms on the right side.
x + 2 = 2x - 1
Add 1 to both sides. Subtract x from both sides.
3 = x
x = 3
1) Sketching it
Since the line segment AD = 10x -5 and AC= 3x +1 and CD= 15
According to the Segment Addition postulate we can write:
3x+1+15=10x-5 <em>Combining like terms</em>
3x +16 = 10x -5 <em>Subtract 16 from both sides</em>
3x = 10x-5-16 Subtract 10x from both sides
3x-10x =-21
-7x = -21
7x=21 <em>Dividing by 7 on both sides</em>
x=3
I think the answer is this
2x-4x+1=0
Combine like terms
-2x+1=0
Subtract 1 both sides
-2x=-1
Divide by -2 both sides
x=-1/2
List factors of each:
60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
45: 1, 3, 5, 9, 15, 45
The largest common value is 15
The greatest possible length of each is 15 cm
Answer: 15 cm.
Answer:
f(x) = [x – (4 + √20)][x – (4 – √20]
Step-by-step explanation:
In order to know the function that best describes the given f(x) that best reveals it's minimum or maximum, we need to know solve for x.
x² – 8x – 4 = 0
Using completing the square method
x² – 8x = 4
x² – 8x + 4² = 4 + 4²
(x – 4)² = 20
x = 4 ±√20
Therefore
f(x) = [x – (4 + √20)][x – (4 – √20]
