Graph two more functions in the same family for witch the parameter being changed is the y-intercept, b
1 answer:
Answer:
The equation of line having slope m and y-intercept b is
y = m x + b
The other two equations of line in the same family having intercepts p and q are,keeping the slope same i.e m , described in the question are
→ y= m x + p
→ y = m x + q
As both the equation have same slope i.e m , so lines will be parallel, but their Y - intercept are different i.e distance from the origin where it cuts the y-axis are different i.e at a distance of p and q from origin.
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Here, we want to find the diagonal of the given solid
To do this, we need the appropriate triangle
Firstly, we need the diagonal of the base
To get this, we use Pythagoras' theorem for the base
The other measures are 6 mm and 8 mm
According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides
Let us have the diagonal as l
Mathematically;
Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above
Thus, we calculate this using the Pytthagoras' theorem as follows;