Which equation models the linear relationship between the variables shown in the table?
1 answer:
Answer:
H) y = 2x -3
Step-by-step explanation:
Given the data on the table for the values of 'x' and 'y', you can find the slope by taking two points and subtracting the difference in 'y' values from the difference in 'x' values:
(
Using points (6, 9) and (2, 1):
Given the slope (m)=2, you can use slope-intercept form to solve for 'b':
y = mx + b
y = 2x + b, use point (2, 1) for 'x' and 'y': 1 = 2(2) + b or 1 = 4 + b so b = -3
Put the values of m = 2 and b = -3 into your slope-intercept form:
y = 2x -3 (answer H)
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Answer:
- 0.100
Step-by-step explanation:
Length of the ladder, H = 6 m
Distance at the bottom from the wall, B = 1.3 m
Let the distance of top of the ladder from the bottom at the wall is P
Thus,
from Pythagoras theorem,
B² + P² = H² .
or
B² + P² = 6² ..............(1) [Since length of the ladder remains constant]
at B = 1.3 m
1.3² + P² = 6²
or
P² = 36 - 1.69
or
P² = 34.31
or
P = 5.857
Now,
differentiating (1)
at t = 2 seconds
change in B = 0.3 × 2= 0.6 ft
Thus,
at 2 seconds
B = 1.3 + 0.6 = 1.9 m
therefore,
1.9² + P² = 6²
or
P = 5.69 m
on substituting the given values,
2(1.9)(0.3) + 2(5.69) × = 0
or
1.14 + 11.38 × = 0
or
11.38 × = - 1.14
or
= - 0.100
here, negative sign means that the velocity is in downward direction as upward is positive