5Look at the picture to the right.
1 answer:
*Correct Question:
Which relationships have the same constant of proportionality between y and x as the equation 3y=27x?
Answer:
A, B, C
Step-by-step explanation:
Given that , we can simplify to get a proportionality statement that exists between X and y. Thus
Divide both sides by 3
Thus, we can say, y would always be 9 times the quantity of x.
From the options given, examine which options have this proportionality statement as well.
Option A, y = 9x is same as the statement.
Option B, 2y = 18x, conforms to the same statement. If we simply further, we would have y = 9x
Option C, the graph shows that when x = 1, y = 9. This also confirms to the same constant of proportionality in the given equation.
Option D and E do not have same constant of proportionality.
The right options are A, B, and C.
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Answer:
About 60.77 feet
Step-by-step explanation:
Attached pic.
Blue line is of Bethany
Green line is of Ben
Red line is the distance between them [what we are trying to find]
We can use pythagorean theorem that tells us:
Where c is the hypotenuse of the right triangle [red lines in both respective triangles]
and
a, b are the two other sides of the triangle
Left Triangle (using pythagorean theorem):
Base is 30
Left side is 20 - 10 = 10
So,
Right Triangle (using pythagorean theorem):
Distance between Bethany and Ben = 31.62 + 29.15 = 60.77 feet
