2 (x + 5) = } (x – 4)? Help
1 answer:
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Answer:
24 inches.
Step-by-step explanation:
Given:
During a week the water level in a pond decreased by 4 in. Per day,
For two days, it decreased by half that amount =
Question asked:
How much did the water level decrease in the pond in one week?
Solution:
As we know, there are 7 days in a week.
<u>For 5 days,</u>
Each day water level decreased by = 4 inches
In 5 days, water level decreased by =
<u>For exceptional 2 days:</u>
Each day water level decreased by = 2 inches
In 2 days, water level decreased by =
Water level decreased in whole week = 20 + 4 = 24 inches
Therefore, water level decreased 24 inches in the pond in one week.
Given:
The system of equations is
To find:
The true statement about the given system of equations.
Solution:
The slope intercept form of a line is
Where, m is the slope and b is the y-intercept.
We have,
On comparing these two lines with slope intercept form, we get
Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.
Therefore, the correct option is A.
Answer:
Step-by-step explanation:
The standard equation for circle is
where point (a,b) is coordinate of center of circle and r is the radius.
______________________________________________________
Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have
Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have
now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is