Sonia graphs the equations y = –x2 + 4x and y = x – 4 to solve the equation –x2 + 4x = x – 4. Her graph is shown below.
2 answers:
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Answer:
The equal sides' length = 10
Third side length = 18
Step-by-step explanation:
Let the two equal sides' length be "x"
Let the third side length be "y"
Third side (y) is 2 LESS THAN TWICE the equal side, so we can write:
y = 2x - 2
The perimeter is 38. The perimeters is the sum of all three sides. So we can write:
x + x + y = 38
Replacing y with 2nd equation, we have:
x + x + (2x - 2) = 38
Now, we can solve this for x first:
Now, y is:
y = 2x - 2
y = 2(10) - 2
y = 20 - 2
y = 18
The equal sides' length = 10
Third side length = 18