Solve by completing the square: x^2-10x+8=0
2 answers:
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ANSWER
C. Both equations will find the correct solution.
EXPLANATION
It was given in the question that, Asha and Jamal started with 45 plants.
We were told that, they sold some plants and now they have 21 plants left.
Let
represent the number of plants sold.
Then when we add the number of plants sold and the number left, we should get 45.
This implies that,
This is Jamal's equation.
On the other hand, if we subtract the number of plants sold from the total number of plants, we should get 21. Thus,
This is Asha's equation.
The two equations are therefore equivalent.
They will give the same solution.
The correct answer is C.
C. Both equations will find the correct solution.
EXPLANATION
It was given in the question that, Asha and Jamal started with 45 plants.
We were told that, they sold some plants and now they have 21 plants left.
Let
represent the number of plants sold.
Then when we add the number of plants sold and the number left, we should get 45.
This implies that,
This is Jamal's equation.
On the other hand, if we subtract the number of plants sold from the total number of plants, we should get 21. Thus,
This is Asha's equation.
The two equations are therefore equivalent.
They will give the same solution.
The correct answer is C.
Answer:
Part A). 25 feet
Part B). 16.25 feet
Step-by-step explanation:
Part A). By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = (24)² + 7²
AC² = 576 + 49
AC = √625
= 25 feet
Part B). By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(25)² = (19)² + x²
625 = 361 + x²
x² = 625 - 361
x = √264
x = 16.25 feet
