1. Hugo scored 18 points in a recent basketball game, which was 5 points fewer than Toby scored. Write an equation for this situ
ation and find how many points Toby scored.
A. 18 + 5 = t, Toby scored 23 points
B. 18 = t + 5, Toby scored 23 points
C. 18 = t – 5, Toby scored 23 points
D. 18 = t + 5, Toby scored 13 points
2. Which of the following equations is modeled by the graph?
A. a = 50 + t
B. a = 50t
C. a = 5t
D. a = 10t
The graph to question number 2 is in the picture below.
A. 18 + 5 = t, Toby scored 23 points
B. 18 = t + 5, Toby scored 23 points
C. 18 = t – 5, Toby scored 23 points
D. 18 = t + 5, Toby scored 13 points
2. Which of the following equations is modeled by the graph?
A. a = 50 + t
B. a = 50t
C. a = 5t
D. a = 10t
The graph to question number 2 is in the picture below.
1 answer:
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Answer:
Leon is correct. (Option 1)
Step-by-step explanation:
Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.
Step 1: Find the greatest common factor of the given lengths: 7
Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5
Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.
we have to explain whether or not Leon is correct.
As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem
⇒
Let a, b, c forms a Pythagorean triplet
Multiplied by 4 on both sides
⇒
⇒
Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.
∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
Hence, Leon is correct.