Find the slope of the line first:
5x - 2y = -6,
y = (5/2)x + 3;
Since we need a line that's perpendicular, m = - (2/5).
The only equation that has the slope of this m is 2x + 5y = -10;
<u>Answer:</u>
Trapezoid is the shape of the cross section of a rectangular pyramid.
<u>Step-by-step explanation:</u>
We are given a rectangular pyramid was sliced such that it becomes parallel to its base. We are to determine the shape of the cross section.
Slicing the pyramid with rectangular pyramid will form a trapezoid as a cross section which will be parallel to the base of the pyramid.
Refer to the figure below for better understanding.
Answer: (3 , 7)
Step-by-step explanation: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. Since x and y are already negative, they become positive due to the double negative rule.
Answer:
Step-by-step explanation:
Area of the rectangular piece A = xy
x is the length
y is the width
Perimeter =2x+2y
Given
Perimeter = 3044yds
3044 = 2x+2y
1522 = x+y
x = 1522-y
Substitute into the formula for area
A = xy
A = (1522-y)y
A = 1522y-y²
To maximize the area, dA/dy must be zero
dA/dy = 1522-2y
0 = 1522-2y
2y = 1522
y = 1522/2
y = 761
Since x+y = 1522
X+761 = 1522
X = 761
Dimension is 761yd by 761yd
Area = 761×761 = 579121yd²
Answer:
137 races
Step-by-step explanation:
822/6=137
so if there was 822 people and the limit for the races were 6 people, there would have to be 137 races for all the people.
