Answer:
x² - 2x + 3
Step-by-step explanation:
y = (x - 1)² + 2
= (x - 1)² + 2 [a - b]² = <em><u>a²- 2ab + b²</u></em>
= x²- 2x + 1 + 2
= x² - 2x + 3
Thus, the standard form of the equation is x² - 2x + 3
Total area = area of the rectangle + area of the triangle
= 3*2 + 2 * (1/2)2
= 6 + 2
= 8 sq units.
Note the area of a triangle = 1/2 * base * height Here the height = 2 and base = 2 units.
Answer:
60
Step-by-step explanation:
You need to think of it as an equation system.
First of all, let's call A the apple trees, P the pear trees and V the avocado's trees.
As for every 3 pear trees we have 4 apple trees, it can be written as:
4A = 3P
Then, we can clear the pears dividing both sides by 3:
4A/3 = 3P/3
(4/3)A = P
This is, we have one pear tree for every 4/3 apple trees.
Then we go to the other relation. For every 5 pears trees there are two avocados trees:
2V = 5P
As we want the ratio of avocados to apples we can replace the pear trees by it's expression depending on A:
2V = 5 ((4/3)A)
2V = (20/3) A
Multiplying both sides by 9 we make appear our 18 avocados trees:
2V *9 =( 20/3) A * 9
18 V = 60 A
So, for 18 avocados trees we have 60 apple trees.
4+2.2h=-3.7
2.2h=-7.7
h=-7.7/2.2=-7/2=-3.5
The answer is -3.5
Good luck!
