Answer:
• General equation of a line is as below:
→ m is the slope
• Consider points (0, 3) and (3, 0) from the graph:
→ c is the y-intercept:
• consider point (0, 3):
» <em>Therefore</em><em>,</em><em> </em><em>substitute</em><em> </em><em>to</em><em> </em><em>make</em><em> </em><em>the</em><em> </em><em>equation</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>line</em><em>:</em>
A replacement value for an open sentence is a solution
Step-by-step explanation:
x=2
y=0
.................
Answer:
63.16 in approx.
Step-by-step explanation:
Let the shorter leg be S. Then the longer leg is L = 3S + 3.
The formula for the area of a triangle is A = (1/2)(base)(height). Here, that works out to A = 84 in^2 = (1/2)(S)(3S + 3).
Simplifying, we get 168 in^2 = S(3S + 3), or
3S^2 + 3S - 168 = 0, or
S^2 + S - 56 = 0. This factors as follows: (S - 8)(S + 7) = 0, so the positive root is S = 8. We discard the negative root.
Thus, the shorter leg length is 8 and the longer leg length is 3(8) + 3, or 27.
According to the Pythagorean Theorem, the hypotenuse length is given by
L^2 = 8^2 + 27^2, or
L^2 = 64 + 729 = 793.
L = hypotenuse length = √793, or approx. 28.2 in.
Then the perimeter of the triangle is 8 + 27 + 28.2 in, or approx. 63.16 in
Answer:13/60 33/60
Step-by-step explanation:
13/60 1/20
least common denominator for 60 and 20 is 60
13*1/60 3*11/60
13/60 33/60