The point (K(−6,−1) is translated 5 units up. What are the coordinates of the resulting point K ′ .
1 answer:
You might be interested in
Answer:
stress on the cable is 61.312mpa
If steel is used, extension will be 0.91968mm
If polypropylene is used, extension will be 0.1532mm
Step-by-step explanation: detailed explanation and calculation is shown in the image below
Answer:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is .
We know that the circle is tangent to the axis at
That means the x coordinate of the center has to be , as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is and a point on the edge of the circle (the tangent point) which is
. so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is where
is the center and
is the radius. When we put the numbers in: we get
which can be simplified into
which is the answer.
Step-by-step explanation:
