What is the value of the dicsriminant of x^2-7x+4?
1 answer:
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Answer:
The x-coordinate of another point is zero
Step-by-step explanation:
step 1
Find the slope between the two given points
The formula to calculate the slope between two points is equal to
we have
substitute in the formula
Simplify
step 2
Find the x-coordinate of another point
we have
(x,-3)
we know that
If the other point is on the line, then the slope between the other point and any of the other two points must be the same
so
Find the slope between the points
Remember that
substitute in the formula
the denominators must be the same
therefore
The x-coordinate of another point is zero
Answer:
Step-by-step explanation:
Standard form of a circle is given by,
(x - a)² + (y - b)² = r²
Here, (a, b) is the center and 'r' is the radius of the circle.
For a circle having center (8, -4) and radius r = 1
Equation of the circle will be,
(x - 8)² + (y + 4)² = 1²
(x - 8)² + (y + 4)² = 1
Option (1) is the answer.
Question (2)
Circle with the center (-1, 0) and a point (2, -4) on it,
Radius of the circle = Distance between the center and the given point on circumference
=
=
=
= 5
Therefore, equation of the circle will be,
(x + 1)² + (y - 0)² = 5²
(x + 1)² + y² = 25