Using the mid-point concept, it is found that the coordinates of B are (-2, -1).
- The mid-point of two points is the <u>mean of the coordinates of each point</u>.
In this problem:
- The points are: A(2, -5) and B(x,y).
- The mid-point is (0, -3).
Applying the concept for both the x and y-coordinates, we have that:






The coordinates of B are (-2, -1).
To learn more about the mid-point concept, you can take a look at brainly.com/question/10956693
First, recall that

So if
, then
.
Second,

We know that
and
, which means we should also have
.
Third,

but as we've already shown, we need to have
, so we pick the negative root.
Finally,

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.
Answer: 43% increase
Step-by-step explanation:
You are welcome :)
Answer:
4 players and 1 instructor
Step-by-step explanation:
If all 4 players pay $300 each, that equals $1,200. The instructor will get $1,000 of it. That means there is $200 left. They need 40 balls per player. Each ball is $1, so that's $40 per player. 40 x 4= 160 200-160 = 40 The club will have $40 left.
Answer:
Therefore the two values required are 2.08 and -11.08.
Step-by-step explanation:
i) f(x) =
+ 10x - 12 is a quadratic equation and a quadratic equation will have two roots whose values when substituted in to the given quadratic equation will give the value.
ii) The question is therefore essentially asking us to find the roots of the given quadratic equation.
This can be done by equating the given quadratic equation to zero and then solving the equation for its roots.
∴
+ 10x -12 = 0 ⇒ x = (-10 ±
) ÷ 2
= (-10 ± 12.166)÷2 = 2.08, -11.08
Therefore the two values required are 2.08 and -11.08