Answer:
14
Step-by-step explanation:
Let the original denominator be 2x.
The original numerator is x.
The original fraction is x/(2x).
The numerator is increased by 2, and the denominator is decreased by 2.
The new fraction is (x + 2)/(2x - 2).
The new fraction equals 3/4.
(x + 2)/(2x - 2) = 3/4
Cross multiply.
4(x + 2) = 3(2x - 2)
4x + 8 = 6x - 6
-2x = -14
x = 7
The original numerator was 7.
2x = 2(7) = 14
The original denominator was 14.
Answer:
<em>1. B.</em>
<em>2. B.</em>
Step-by-step explanation:
<u>Trigonometry</u>
1) Coterminal angles can be found by adding or subtracting 360° (or 2\pi radians) to a given angle. If we have 120°, adding 360° gives 480°, adding again 360° gives 840°. There is no way to get -180°, so this option is not a coterminal angle to 120°
2)
A. 
, and not undefined
B. 
. This is correct
C. 
is undefined, not zero
Thus the only correct option is B.
To find the area of the circle, you will use the formula for finding area of any circle.
The radius is half the diameter.
A = pi x r^2
3.14 x 13^2
A = 530.66 square units
The area is 530.66 square units.
Answer:
47 degrees
Step-by-step explanation:
A shape always adds up to 180 so I added the two degrees and subtracted it from 180. You get the answer 47
<span>Put it in the form of y =mx +b, or in this instance, y> mx +b
move the (1/2) x to the right by adding it to both sides of the inequality
(1/3)y>(1/2)x +2
Multiply by 3 on both sides to get y by itself.
y>(3/2) x +6
This is a graph with y intercept of (0,6) and a moderate upward and to the right slope. Because it is > , the line on the graph will NOT be part of the solution.
The easiest way to find the side of the graph that the inequality satisfies is to use (0,0) and see if it works or doesn't work. In the original equation, 0-0>2 does NOT work, so the area where the inequality works is to the up and left of the graph, which should be a dotted line to show that the inequality is greater than only.
The point (6,-2) should work.
Test it. 6*(1/3)-(-2)*(1/2)>0 ; 2-(-1)=3, and 3>2 It does work.
The point (6,2) should not work
Test it. 6 *(1/3)-2(1/2)=2-1 ; 1 is NOT >2, so it does not work.
If the graph goes through the origin, then pick a point near the graph with a small x or y.</span>
