We have x^2 + 2 · x · (11/2) + (11/2)^2 = - 24 + (11/2)^2;
Then, ( x + 11/2 )^2 = -24 + 121/4;
( x + 11/2 )^2 + 96/4 - 121/4 = 0;
( x + 11/2 )^2 - 25 / 4 = 0;
( x + 11/2 )^2 - (5/2)^2 = 0;
( x + 11/2 - 5/2)·( x + 11/2 + 5/2 ) = 0;
( x + 6/2 )·( x + 16/2 ) = 0;
( x + 3 )· ( x + 8 ) = 0;
x = - 3 or x = -8;
The first choice is the correct answer.
Answer:
(1)55.5 feet
(2)7.5 feet
Step-by-step explanation:
<u>Question 1</u>
The diagram is attached below.
Using Trigonometric ratio

The height of the house is 55.5 feet to the nearest tenth.
<u>Question 2</u>
In the diagram, we are required to find the distance the bird must fly to be directly above the fish. This has been represented by x.
Using Trigonometric ratio

The distance the bird must fly to be directly above the fish is 7.5 feet.
Answer:
the Profit for the month is $2,083.43
Step-by-step explanation:
The computation of the profit for the month is shown below:
Profit for the month is
= Monthly gross receipts - expenses
= $20,834.34 - $18,750.91
= $2,083.43
hence, the Profit for the month is $2,083.43
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Answer:
7500
Step-by-step explanation:
no interest will have to be paid
Answer:
C. Y=1,200(1-0.035)x
Step-by-step explanation: