Answer:
x=-1
Step-by-step explanation:
4(x+3)=8
4x+12=8
4x=-4
x=-1
Solution: For finding QR we need to apply Pythagoras Theorem
What is Pythagoras Theorem ?
ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°
According to this law let's apply it in the diagram shown here.
- (Hypotenuse)² = (Adjacent)² + (Opposite)²
- (5x - 2)² = (QR)² + (3x - 1)²
- (QR)² = (5x - 2)² - (3x - 1)²
After factorising both of them we get
- (QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)
- (QR)² = 25x² - 20x + 4 - 9x² + 6x - 1
So, QR is √(16x² - 14x + 3)
H(t) = -16t^2 +42t = -16t(t -2.625)
The maximum height will be reached at t=1.3125. It will be
h(1.3125) = 16*1.3125^2 ≈ 27.6 Which corresponding to the 4th selection
So if we want to know the least amount, we first want to assume the other two games both had a score of 52, so we can say the last one had the least possible.
So if both got 52, the total points would be 104, for two games of 52 points. Since we want 141 points, we therefore want 37 more points to reach 141.
So the least amount of points a player could've scored in one of the games was 37.