- Midpoint Formula:

So firstly, let's start with the x-coordinates. Since we know the midpoint's x-coordinate and point A's x-coordinate, we can solve for point B's x-coordinate as such:

Next, do the same thing except solve for the y-coordinate and using point A's y-coordinate and the midpoint's y-coordinate:

<u>Putting it together, point B's coordinates are (2,4).</u>
There are many solutions. But what do you mean with a perfect square of a number. I thought a number IS a perfect square or not.
For example, the difference between 2² and 4² = 12, which is twice the number 6, which is √36
The difference between 2² and 6² = 32, which is twice the number 16, which is a perfect square.
So choose depending on your interpretation of the question... ;-)
Answer:
40 degrees
Step-by-step explanation:
The sum of the angles is 180.
A 100 degree angle cannot be a base angle because then
the sum of the base angles would be 200 degrees.
The 100 must be the vertex angle.
Equation:
x + x + 100 = 180
2x = 80
x = 40 degrees.
Each of the base angles is 40 degrees.
Answer:
Step-by-step explanation
Step 1: multiply the coefficient a and the constant c. Given that the general expression of a parabolic equation is ax^2+bx+c
3*5=15
Step 2: examine the coefficient b and try to find 2 numbers which you can multiply to get 15, add or subtract and get - 8
In this Case: - 3*-5=15 and - 3+(-5)= - 8
Step3:
You separate the equation in terms of the two factors you have found
3x^2-3x-5x+5=0
Step 4:Factorise
3x(x-1)-5(x-1)=0
(3x-5)(x-1)=0
Probability of an event= number of ways an event can occur / total number of possible outcomes.
Probability = 6/12 = 0.5