From the graph, we see that two similar triangles are created by using the slope of the line.
• Because the two triangles appear to have congruent angles and proportional side lengths, we can conclude with the information we have that the two triangles are indeed similar. They are the same shape but proportional with congruent angles.
• Therefore, a/b = c/d because the scale factor remains the same of both ratios.
•We can also see that in larger triangle, the slope = 3/6 and the slope of the smaller one = 2/4. 3/6 = 2/4 because 3/6 = 1/2 and 2/4 = 1/2. Therefore, the slopes are proportional and equal.
• Because the slopes are proportional and the triangles are proportional, the a/b = c/d.
Lets try substitution5x+2y=21=5x=21-2y=x=(21-2y)/5
sub into second equation
-2(21-2y)/5+6y=-34(-42+4y)/5+6y=-34solve for yy=-64/17plug into equation and solve for x=(97/17)
Answer: 13.7 in²
<u>Step-by-step explanation:</u>
Area of Square:
A = s²
= 8²
= 64
Area of Circle:
A = π r²
= π (4)²
= 16π
≈ 50.3
Area of Square - Area of Circle:
64 - 50.3 = 13.7
Answer:
Yes.
Step-by-step explanation:
It is a function because it passes the vertical line test. Each x-value has just one y-value. If the relation had any x-values that had several y-values, it would just be a relation. But this one is a function.
Hope this helps!
