Answer:
quotient = 995
remainder = 3
Step-by-step explanation:
Answer: 91 guests
Step-by-step explanation:
Given the available furniture legs to be 364, where each seat has 4 legs
We will divide 364 by 4 to get the number of available seats.
364/4 = 91 seats
If 91 seats are available and it is set at 1 seat per guest,
Number of guests will be 91 seats/1 = 91, therefore, 91 guests will be available.
Answer:
90
Step-by-step explanation:
Basically 90 precent of 100 is 90
Given:
The coordinates of a point are (-3,-6).
To find:
The point on the coordinate plane whose coordinates are (-3,-6).
Solution:
From the given information of coordinate plane, it is clear that
Coordinates of point A are (-3, 6).
Coordinates of point B are (-6,-3)
Coordinates of point C are (-3,-6)
Coordinates of point D are (3,-6)
It is clear that, only point C has coordinates (-3,-6).
So, the required point is C.
Therefore, the correct option is C.
Answer: y = 4x/3 - 5/2
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m = slope = (y2 - y1)/(x2 - x1)
The given line, L1 passes through A(6, - 7) and B(- 6, 2). The slope of line L1 is
m = (2 - - 7)/(- 6 - 6) = 9/ -12 = - 3/4
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of line L2 passing through the midpoint, M is 4/3
The formula determining the midpoint of a line is expressed as
[(x1 + x2)/2 , (y1 + y2)/2]
Midpoint, M = [(6 + -6)/2 , (- 7 + 2)/2]
= (0, - 5/2]
This means that the y intercept of line L2 is - 5/2
The equation of L2 becomes
y = 4x/3 - 5/2
