The construction cost for the concrete base is estimated at $20 per square foot. Again, if r is the radius of the cylinder, what
would be the area of the circular base? Note that the base must have a radius that is 1 foot larger than that of the cylinder. Write an expression for the estimated cost of the base.
1 answer:
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Answer:
y+3=2(x-1)
Step-by-step explanation:
Point-slope form is . In order to write a linear equation using this form, the
,
and
must be substituted by real numbers.
The represents the slope of the equation. We know that the answer has to be parallel to the line y=2x-1. y=2x-1 is already in slope-intercept form, or
, in which
represents the slope. We can see that the
is in place of that
, therefore 2 is the slope of y=2x-1. Lines that are parallel have the same slope, so we know that the slope of the new equation must be 2 as well.
The and
represent the x and y values of one point that the line passes through. We know that the new equation must pass through the point (1, -3), so we'll substitute 1 in place of the
and -3 in place of the
.
Substituting for those three values will give you an equation like this, therefore it is the answer:
We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;
Where , D = b² - 4ac (Discriminant)
Now , On comparing the given equation with ax² + bx + c , we have
⇢⇢⇢ <em><u>a = 1 , b = - 10 , c = 2</u></em><em><u>7</u></em>
Now , Calculating D ;
Now , Calculating the vertex ;
Hence , The vertex of the parabola is at (5,2)
Note :- As the Discriminant < 0 . So , the equation will have imaginary roots .
Refer to the attachment for the graph as well .
