We are given
First equation:
we can use formula
slope is m=1
y-intercept is b=-1
Second equation:
we can use formula
slope is m=-2
y-intercept is b=5
Graph:
We can see that
both curves intersect at (2,1)
so, solution is x=2 and y=1.................Answer
Answer:
18x okkklllkkkkkkkkkkkkkkkkkkkkkkkkkkmmm
The sides of the triangle are given as 1, x, and x².
The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.
Consider 3 cases
Case (a): x < 1,
Then in decreasing size, the lengths are 1, x, and x².
We require that x² + x ≥ 1
Solve x² + x - 1 =
x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
Reject the negative length.
Therefore, the lengths are 0.382, 0.618 and 1.
Case (b): x = 1
This creates an equilateral triangle with equal sides
The sides are 1, 1 and 1.
Case (c): x>1
In increasing order, the lengths are 1, x, and x².
We require that x + 1 ≥ x²
Solve x² - x - 1 = 0
x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
Reject the negative answr.
The lengths are 1, 1.618 and 2.618.
Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.
Answer:
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
It is given that the diameter of 5 circles making up the archery is 2,4,6,8, and 10.
To determine the total red area, we use the formula for area of the circle
step 1
Find the Area of the 1st red circle
---> the radius is half the diameter
step 2
Find the Area of the 2nd white circle
---> the radius is half the diameter
step 3
Find the Area of the 3rd red circle
---> the radius is half the diameter
step 4
Find the Area of the 4th white circle
---> the radius is half the diameter
step 5
Find the Area of the 5th red circle
---> the radius is half the diameter
The total red area is given by
substitute
Answer:
68%
Step-by-step explanation:
51/75 × 100% = 68%
