The graph represents the speed at which Pete’s marble travels.
1 answer:
The relationships are illustrations of proportional equations
Stephano’s marble will reach the 6-foot mark sooner
<h3>How to determine the marble that travels faster</h3>The equation of Stephano’s marble is represented by:
The equation of the graph of Pete’s marble is represented by:
A proportional linear equation is represented as:
Where:
m represents rate/speed/slope
By comparison, we have:
2.25 is greater than 1.5
Hence, Stephano’s marble will reach the 6-foot mark sooner
Read more about proportional equations at:
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Step-by-step explanation:
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Answer:
<h2>3.6°</h2>Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 7>, v = <9, 7>
we will be using the formula below to calculate the angle between the two vectors;
is the angle between the two vectors.
u = 8i + 7j and v = 9i+7j
u*v = (8i + 7j )*(9i + 7j )
u*v = 8(9) + 7(7)
u*v = 72+49
u*v = 121
|u| = √8²+7²
|u| = √64+49
|u| = √113
|v| = √9²+7²
|v| = √81+49
|v| = √130
Substituting the values into the formula;
121= √113*√130 cos θ
cos θ = 121/121.20
cos θ = 0.998
θ = cos⁻¹0.998
θ = 3.6° (to nearest tenth)
Hence, the angle between the given vectors is 3.6°