Answer: (3.5,-2)
Step-by-step explanation:
To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.
4x-7y=28 [plug in y=-2]
4x-7(-2)=28 [multiply]
4x+14=28 [subtract both sides by 14]
4x=14 [divide both sides by 4]
x=3.5
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6x-5y=31 [plug in y=-2]
6x-5(-2)=31 [multiply]
6x+10=31 [subtract both sides by 10]
6x=21 [divide both sides by 6]
x=3.5
Now, we know the solution to the system is (3.5,-2).
Firstly, put both decimal numbers into simplest fraction form:
0.5 = 1/2
0.10 = 1/10
To add these, you need to have the denominator (the bottom number) the same on both fractions. You use the smallest number you can get, which is called the lowest common denominator, or LCD.
The LCD in this case is 10, as the second fraction cannot be written with any smaller denominator than 10.
So you need to make the fraction 1/2 have a denominator of 10.
10/2 is 5, so you multiply both the numerator (top number) and the denominator by 5:
1 x 5 / 2 x 5 = 5/10
Now you can add the two fractions together:
1/10 + 5/10 = 6/10
If you want to, you can then simplify this answer:
6/10 (divide both numerator and denominator by 2) = 3/5
Answer:
C. 49 sq units
Step-by-step explanation:
Area of a triangle is
A = 1/2bh
base is 14 and height is 7
14 * 1/2 is 7
7*7 = 49
Both are given. This is indicated by the tick marks on the line segments and the single arcs drawn at the angles.