Answer:
160
Step-by-step explanation:
n : d : s
8 : 12 : 20
davina = 48 sweets
48/12 = 4
8 + 12 + 20 = 40
40 x 4 = 160 sweets total
Answer:
6
Step-by-step explanation:
y = x² - 6x + 11
Complete the square.
y = x² - 6x + 9 + 2
y = (x - 3)² + 2
a = 1, h = 3, k = 2
a + h + k = 6
Answer:
first find the area of the big rectangle = 12×14=168
area of the small unshaded rectangle =2×5×6=60
area of the shaded region = 168-60=108
Answer:
The solution for y is y = 2x + 1
Step-by-step explanation:
* <em>Lets explain how to solve an equation for one of the variables</em>
- We need to solve the equation 16x + 9 = 9y - 2 x for y
- That means we want to find y in terms of x and the numerical term
- the equation has two sides, one side contains x and numerical term
and the other side contains y and x
- We need to separate y in one side, and other term in the other side
* <em>Lets do that</em>
∵ 16x + 9 = 9y - 2x
- Add 2x to both sides to cancel -2x from the right side
∴ 16x + 2x + 9 = 9y - 2x + 2x
- Add like terms in each side
∴ 18x + 9 = 9y
- Divide each term by the coefficient of y ⇒ (÷9)
∴ (18 ÷ 9)x + (9 ÷ 9) = (9 ÷ 9)y
∴ 2x + 1 = y
- Switch the two sides
∴ y = 2x + 1
* The solution for y is y = 2x + 1