So since x coordinates are same, we just have a horizontal distance to find (no fancy slanted lines)
so what you do is
|y1-y2|=distance
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
QUESTION 1
The given expression is
The greatest common factor is 
.
We factor to obtain;
QUESTION 2
The given quadratic equation is
We split the middle term to obtain
Factor by grouping;
Use zero product property;
QUESTION 3
The given system of equation is
If we multiply by 3, we obtain;
If we multiply by 4 we obtain;
Adding the last two equations will give us;
The y-variable is eliminated.
Answer:Multiply 3x+4y=−8
by 3. Multiply 7x−3y=6 by 4. Add the resulting equations together.
Answer:
1
Step-by-step explanation:
1-0=1 totally trust me
Use the expression for y in the second equation.
.. 3x +4(3 -(1/2)x) = 1
.. 3x +12 -2x = 1
.. x +12 = 1
.. x = -11
