Answer:
(1,5)
Step-by-step explanation:
The x coordinate of the midpoint is found by adding the x coordinates and dividing by 2
(6+-4)/2 = 2/2 =1
The y coordinate of the midpoint is found by adding the x coordinates and dividing by 2
( (8+2)/2 = 10/2 = 5
The mid point is (1,5)
The equation of inequality would be = 2 x + y ≤ 10 for the process of purchase.
<u>Explanation:</u>
Total amount of money tony have , T = $10
Thus the cost of apple, (We can represent as Ca) = $2
Also the cost of banana,(We can represent as Cb) = $1
Let x be the number of apples bought
Let y be the number of bananas bought
Total expenditure to buy fruits, E = $2 x + $1 y
So,The equation of inequality would be = 2 x + y ≤ 10 for the process of purchase.
Answer:
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)
Step-by-step explanation:
The given expression is -5·t² + 5·t + 24
To factorize the expression by completing the square method, we equate the expression to zero to get;
-5·t² + 5·t + 24 = 0
WE divide by -5 to get;
t² - t - 24/5 = 0
t² - t = 24/5
t² - t + 1/4 = 24/5 + 1/4
(t - 1/2)² = 5.05
t - 1/2 = ±√5.05
t = 1/2 + √5.05, 1/2 - √5.05
The factorized expression becomes;
(t - 1/2 + √5.05) and (t - 1/2 - √5.05)
Which gives;
(t - 2.747) ×(t - 1.747)
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).