9514 1404 393
Answer:
(x, y) = (19, 20)
Step-by-step explanation:
The coefficients of y are opposites, so we can add the two equations to eliminate y.
(-3x +8y) +(-5x -8y) = (103) +(-255)
-8x = -152
x = 19 . . . . . . . divide by -8
Substituting into the first equation, we have ...
-3(19) +8y = 103
8y = 160
y = 20
The solution is (x, y) = (19, 20).
4/10 is equal to 2/5 because if you reduce 4/10 you get 2/5 which shows that they are equal.
- Discriminant Formula: b² - 4ac, with a = x^2 coefficient, b = x coefficient, and c = constant
So firstly, using our equation plug in the values into the discriminant formula and solve as such:
(-7)² - 4 × 3 × 4
49 - 48
1
So our discriminant is 1. <u>Since 1 is positive and a perfect square, this means that there are 2 real, rational solutions.</u>
The segment of length x bisects the chord of length 19.2.
The diameter is 24, so the radius is 12.
You have a right triangle with hypotenuse 12, and one leg 19.2/2 = 9.6
9.6^2 + x^2 = 12^2
92.16 + x^2 = 144
x^2 = 51.84
x = 7.2
Multiple 15 by 6, the answer is 90 square cm
