Y’all plz- help this is so hard giving brainlest ;)
2 answers:
Answer:
<em>Answer: B.</em>
Step-by-step explanation:
<u>Quadrants in the Coordinate Plane</u>
The coordinate plane is divided into 4 quadrants named I, II, III, and IV as shown in the image attached below.
The first quadrant (I) has the x positive and the y positive
The second quadrant (II) has the x negative and the y positive
The third quadrant (III) has the x negative and the y negative
The fourth quadrant (IV) has the x positive and the y negative.
A point located in quadrant III must have both coordinates negative. This only corresponds to choice B where both components are negative.
Answer: B.
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The equation is
Some observations:
is defined only as long as
, or
- wherever
is never positive
- by the definition of absolute value, we have
if
, and
if
. Then
If , the equation becomes
Taking the square of both sides gives
but since the discriminant is , there are no real solutions.
If , then
Taking squares gives
and solving by the quadratic formula gives two potential solutions,
which have approximate values of 8.49 and 26.51.
We know for any value of that
. We have
and
, so only the first solution 8.49 is valid.