line b
line c
line d
The line which represents the direct variation equation y = 1/2 x is: line c.
We know that every straight line has the equation
y = (slope) x + (y-intercept) .
Here, we have, this line y = 1/2 x,
the equation doesn't show any y-intercept.
The y-intercept is zero,
meaning that the line crosses the y-axis at the place where y=0.
That's the origin where the x- and y-axes cross.
so, we get, the line goes through the origin.
from the given graph we get,
There are only two lines there that go through the origin,
so one of those is the answer to the question.
Now, we have to find the slope of a line.
we know that,
If the slope of a line is positive, that means it rises as it goes.
If the slope of a line is negative, that means it falls as it goes.
The equation of the line is [ y = 1/2 x ].
The slope is 1/2 .
That's positive.
The line on the graph slopes up.
so, we get,
In the picture, that can only be line 'c' .
Hence, The line which represents the direct variation equation y = 1/2 x is: line c.
To learn more on Equation 0f Straight-Line click:
#SPJ3
Answer:
See explanation
Step-by-step explanation:
Width = 25 seconds
Lower class limit = 125 seconds
To find the frequency of each class, just count the numbers which appear in described class
Hence, the frquency distibution is
Classes: Frequency
125 - 150 seconds 1
151 - 175 seconds 0
176 - 200 seconds 0
201 - 225 seconds 4
226 - 250 seconds 34
251 - 275 seconds 11
Yes!
This would be in-fact a linear equation!
This equation is set up in y=mx+b form, therefore we know it is a linear equation.
y=12x+2
The 12 is the mx in the equation.
And the 2 is the B in the equation! :)
That is how we solve that.
Any questions?
Have a great day!
Answer:
yes ∠ A = 84°
Step-by-step explanation:
∠ A and ∠ B are same side interior angles and supplementary, thus
5x + 34 + 2x + 76 = 180
7x + 110 = 180 ( subtract 110 from both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Thus
∠ A = 5x + 34 = 5(10) + 34 = 50 + 34 = 84°