Long Piece: x + 18
Short Piece: x
(x) + (x + 18) = 84
2x + 18 = 84
2x = 66
x = 33
Long Piece: x + 18 = (33) + 18 = 51
Answer: 33 meters and 51 meters
To find the slope, u need to put the equation in y = mx + b form, where m will be ur slope.
2x - 4y = 10 ... subtract 2x from both sides
-4y = -2x + 10...divide both sides by -4
y = (-2/-4)x + (-10/4)
y = 1/2x - 5/2
y = mx + b
y = (1/2)x - 5/2
the slope(m) = 1/2
The length of arc AB is 9.12 mm:
We first calculate for the radius r of the circle using the equation
r = c/(2 sin[theta/2])
where c is the length of chord AB that is given as 9 millimeters
angle given is 32 degrees
To convert theta 32 degrees into radians:
32 degrees * (pi/180) = 32 degrees * (3.14/180) = 0.5583 radians
We now substitute the values into the equation to find the radius r:
r = 9/(2 sin[0.5583/2])
r = 16.33 mm
.
We can finally solve for the length s of arc:
s = r theta = 16.33 * 0.5583 = 9.12 mm
<u>The concept:</u>
We are given the equation:
Which can be simplified as:
Since any number to the power '0' is 1
x² - x must be equal to 0 for the given equation to be true
<u></u>
<u>Solving for x:</u>
x² - x = 0
x(x-1) = 0
now, we can divide both sides by either x OR x-1
So we will see what we get for either choice:
x = 0/(x-1) x-1 = 0/x
x = 0 x = 1
Hence, the value of x is either 0 or 1
Answer:
Step-by-step explanation:
A rational number is any number that can be expressed as a ratio.
