(2,-1), (-4,17).
Step-by-step explanation:
Equate the equation A and equation B
Convert the quadratic equation in factored form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
Square root both sides
Find the values of y
Substitute the value of x in the equation B
Since we know that the 38 is being bisected (which we can tell by the fact that the line hits it perpendicularly), we know that from the intersection to the edge of the circle is 19. From this we can create a right triangle in which the legs are 10 and 19 and the hypotenuse is a radius of the circle. Since x is also a radius of the circle, all we have to do is use that information to find the hypotenuse using the Pythagorean Theorem and we have x.
Pythagorean Theorem
+
=
+
=
100 + 361 =
461 =
x =
or about 21.47
He increased by 29% because you just add up the percentage
Let Casey's age be x
Brian's age will be -3 from 2 times x ( Casey's age ) so it will be 2x-3
Adam's age will be Casey's age (x) + 9 which is x+9
NOW the sum of all these ages is 46 so..
Casey's age + Brian's age + Adam's age = 46
x + 2x-3 + x+9 = 46
2x + x + x + 9 -3 = 46
4x + (9 - 3) = 46
4x - 6 = 46
now transfer the numbers on the left one by one to the other side( right )
4x = 46 - 6 ( always remember the sign of the number becomes the opposite when we transfer them to other side)
4x = 40
x = 40 / 4
x = 10
so x = Casey's age = 10
2x - 3 = Brian's age = 2 * 10 - 3
= 20 - 3 = 17
x + 9 = Adam's age = 10 + 9 = 19
