Answer:
Step-by-step explanation:
Yes
But no
But yes
=mum
Answer: 31
Step-by-step explanation: if x = 8 it would look like this
3(8) + 7
\/ \/
24 + 7
\/
31
Look up a system of equation calculator online
In graphs of linear relationships, you can always determine a proportional linear relationship by observing where the line crosses the y axis. If the line crosses through the origin, then the relationship is proportional. This means that the independent data(in this case time) can be multiplied by a constant factor to always get it's related dependent piece of data.
From the graph you might notice some data points for Gary: At 2mins he completes 1.5 knots or the ordered pair (2, 1.5). We see another data point at 4mins he completes 3 knots or the ordered pair (4,3). How about the ordered pair (6, 4.5)? Notice that if I multiply the "x" coordinate of all these ordered pairs by 0.75, I get the "y" coordinate. Or maybe another way to look at it, the "y" coordinate of each point on the line divided its corresponding "x" coordinate will always produce the same number, 0.75. This number, 0.75, is called the constant of proportionality.
So, the answer to this problem is choice "D"
Summary: To identify proportional linear relationship from a graph, look for the line that goes through the origin. To find the constant of proportionality, determine the coordinates of a convenient point on the line and divide the y coordinate by the x .
Answer:
L = B + 3 ..................(1)
L × B = 270 m² .................(2)
on solving we get
L = 18 m, B = 15 m
Step-by-step explanation:
Let the length of the rectangle be L
and,
Width of the rectangle be 'B'
thus,
according to the question
L = B + 3 ..................(1)
And, area of the rectangle = 270 m²
also,
Area of the rectangle = L × B = 270 m² ...........(2)
on substituting 'L' from equation 1 in equation 2, we get
( B + 3 ) × B = 270
or
B² + 3B - 270 = 0
or
B² + 18B - 15B - 270 = 0
or
B( B + 18 ) - 15(B + 18) = 0
or
( B - 15 ) × ( B + 18 ) = 0
thus, we get
B = 15 m (accepted ) and B = -18 m (neglected : since the length cannot be negative)
therefore,
From 1, we get
L = 15 + 3 = 18 m
