1. A
2. A
3. 144 in^2
4. 128 cm^2
5. 169 cm^2
Answer:
154 sweets
Step-by-step explanation:
Adrian, Ben and Charlie share some sweets in the ratio 5:2:7 and Charlie got 22 more sweets than Adrian.
Let the total number of sweets be x.
Then Adrian gets:
And Charlie gets:
It was given that Charlie got 22 more sweets than Adrian.
This implies that:
Multiply through by 14:
Group similar terms;
Simple (Cross multiplication )
9 x
_ _ = 90/10 = 9
10 10
Y = - 2x and y = x² - 8, this means that:
-2x = x² - 8 → x² + 2x - 8 = 0
Solve this quadratic equation:
x₁ = [-b + √(b² - 4.a.c)]/2a and x₂ = [-b - √(b² - 4.a.c)]/2a
x₁ = [- 2 + √(4+32)]/2 and x₂ = [- 2 - √(4+32)]/2
x₁ = -4 and x₂ = 2 (in the 2nd equation). Now plug in these values in the 1st equation and you will find - 4 and 8
Answer D