Answer:
X^2-2X+1=0
Step-by-step explanation:
given,2X-X^2=1
or,-(X^2-2X)=1
or,X^2-2X=-1
or,X^2-2X+1=0 ,which is the req.equation in standard form.
9514 1404 393
Answer:
- 3.46 pounds
- 6.92 pounds
- 13.84 pounds
Step-by-step explanation:
The most accurate ratio of pounds to dollars will be found using the given numbers that have the most significant figures. Those are found on the last row of the table:
pounds/dollar = 34.60/50 = 0.692
To find the other table values, multiply the dollar amounts by this constant of proportionality. The problem statement tells you to round the result to hundredths.
$5 ⇒ 5.00 × 0.692 = 3.46 pounds
$10 ⇒ 10.00 × 0.692 = 6.92 pounds
$20 ⇒ 20.00 × 0.692 = 13.84 pounds
_____
You can also fill in the table by recognizing that $5 is one tenth of $50, so the number of pounds will be one tenth of 34.60 = 3.46. Then each of the following rows doubles the amount on the previous row.
The outside arcs for a circle enveloping a triangle will always equal 360.
Set up an equation that has all arcs equal 360:
Combine like terms:
Subtract 60 from both sides:
Divide both sides by 10 to get x by itself:
We can now find the values of the arcs:
All three arc lengths are different, which means that the triangle's side lengths are all different. This makes the triangle a
scalene triangle.
Answer:
The inequation 6x ≥ 8x - 4 can be used to find the solution.
The solution is x ≤ 2
Step-by-step explanation:
If x represents the number then six times a number is the multiplication of x by 6, and four less than eight times the number can be written as: 8x -4
6x ≥ 8x - 4
Solving the inequation;
Subtracting 6x each side:
0 ≥ 8x - 6x -4
Summing 4 each side
4 ≥ 2x
Dividing by 2 each side
2 ≥ x
2 greater or equal than x is the same as:
x ≤ 2