What is the solution to 0.5 (4x -10) = 2x +4
1 answer:
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Answer:
see attached
Step-by-step explanation:
You can do these yourself fairly easily. Copy the figure and the coordinate axes onto a piece of tracing paper (tissue paper or even facial tissue will work, too), then rotate the copied figure 90° clockwise.
Line up the origin of the axes and make sure the axes you drew line up with the ones on the original figure. For 90° clockwise rotation, what was the +y axis will now align with the +x axis. Copy the rotated figure from the tracing paper back to the graph on your problem page in its new location. (You can cut out the figure, if necessary. Just be sure to make note of the position relative to the axes.)
This sort of physical activity reinforces the thinking you need to do to mentally rotate the figures. It is worth the effort.
Answer:
is outside the circle of radius of
centered at
.
Step-by-step explanation:
Let and
denote the center and the radius of this circle, respectively. Let
be a point in the plane.
Let denote the Euclidean distance between point
and point
.
In other words, if is at
while
is at
, then
.
Point would be inside this circle if
. (In other words, the distance between
and the center of this circle is smaller than the radius of this circle.)
Point would be on this circle if
. (In other words, the distance between
and the center of this circle is exactly equal to the radius of this circle.)
Point would be outside this circle if
. (In other words, the distance between
and the center of this circle exceeds the radius of this circle.)
Calculate the actual distance between and
:
.
On the other hand, notice that the radius of this circle, , is smaller than
. Therefore, point
would be outside this circle.
Question:
Factor
(8 - x)(8 - x)
(8 + x) (8 - x)
(X + 8)(x-8)
Answer:
Option B: is the factor
Explanation:
Given that the expression is
We need to find the factor of the given expression.
Let us rewrite the expression as
Since the expression is of the form , let us use the identity
where a = 8 and b = x
Substituting the values in the identity, then the expression can be written as
Thus, the factor of the expression is
Hence, Option B is the correct answer.