X² + y² - 4 x + 2 y = b
x² - 4 x + 4 + y² + 2 y + 1 = b + 4 + 1
( x - 2 )² + ( y + 1 )² = b + 5
y - coordinate of the center of the circle is: y = - 1
b + 5 = r
b + 5 = 7
b = 7 - 5
b = 2
Answer:You would need 9 buses for everyone
Step-by-step explanation:with 8 buses you would have taken 200 students so you'd need one more bus for the other five.
Let “n” represent the least of the odd numbers. Then the next two will be:
n + 2 and n + 4 that their sum is 159.
n + (n + 2) + (n + 4) = 159
3n + 6 = 159
3n = 153
n = 51
And to check: 51 + 53 + 55 = 159
Answer:
The equation of the line is 7 x +5 y = 15.
Step-by-step explanation:
Here the given points are ( 5, -4) & ( -10, 17) -
Equation of a line whose points are given such that
(
) & (
)-
y -
=
( x -
)
i.e. <em>y - (-4)=
( x- 5)</em>
<em> y + 4 =
( x - 5)</em>
<em> y + 4 =
( x - 5 )</em>
<em> ( y + 4) =
( x - 5)</em>
<em> 5 (y + 4 ) = - 7 (x - 5 )</em>
<em> 5 y + 20 = -7 x + 35</em>
<em> 7 x + 5 y = 15</em>
Hence the equation of the required line whose passes trough the points ( 5, -4) & ( -10, 17) is 7 x + 5 y = 15.