Answer:
14 inches
Step-by-step explanation:
Answer:
Substitution.
Step-by-step explanation:
x+y=2
y=-x+2
2x+(-x+2)=4
x=2
(2)+y=2
y=0
Solution: (2,0)
2.8 = 2 + 0.8
*let's analyze the decimal 0.8 as a fraction
0.8 = 8/10
*but if we divide the numerator and denominator by the same common factor of 2, we find that the fraction can be reduced to:
(8/2)/(10/2) = (4)/(5) = 4/5
*now evaluating the whole value of 2 (from the 2.8), we know there are a total of (5) - fifths in order to make a whole, so for 2 whole, we require:
2*(5/5) = (2*5)/5 = 10/5
*Now we add the fractions together:
2 = 10/5
0.8 = 4/5
10/5 + 4/5
*add numerators only, the denominator stays as a 5
(10 + 4)/5 = 14/5
*there are no common factors between 14 & 5 (other than 1, but that won't help reduce the fraction any), so the fraction is in it's simplest form:
answer is: 14/5
A very useful result called the inscribed angle theorem tells us that, given any <em>inscribed angle</em> on a circle (an angle on the inside edge of a circle) the <em>central angle </em>that <em>subtends the same arc</em> is <em>twice the measure of the inscribed angle</em>. I've included a visual example for this problem if any of that vocabulary is unfamiliar.
Here, the inscribed angle ∠C = 87° is attached to the arc DEB. According to the inscribed angle theorem, the central angle swept out by DEB should then be 87 x 2 = 174°. To find the measure of arc DE, we note that arc DEB is just arc DE + arc EB. We're given that arc EB measures 76°, so we subtract that from 174 to find that arc DE = 174 - 76 = 98°
Answer:
(4.449, 0.449) and (-0.449, -4.449)
Step-by-step explanation:
xy = 2
y = 
Vertical asymptote → x = 0
Horizontal asymptote → y = 0
Input-output values for the equation,
x -2 -1 1 2 4
y -1 -2 2 1 0.5
Input-output values of the equation,
x - y = 4
x -2 -1 0 1 2
y -6 -5 -4 -3 -2
Solutions of the system of equations → (4.449, 0.449) and (-0.449, -4.449)