Answer:
I think the part he has correct is when they are equal because they intersect at a coordinate, but, he is incorrect because the teacher's expression could be different
Step-by-step explanation:
Answer:
1 gallon every 16 minutes
Step-by-step explanation:
If after 32 minutes the container has 6 gallons left that means it has lost 2 gallons of water. So we now divide the 32 minutes by the 2 gallons of water to get that 1 gallon of water leaks every 16 minutes.
3x - 2y = 13
-2y = -3x + 13
y = 3/2x - 13/2...slope is 3/2, y int is -13/2
2x + 3y = -16
3y = -2x - 16
y = -2/3x - 16/3...slope = -2/3, y int is -16/3
perpendicular lines will have negative reciprocal slopes. To find the negative reciprocal of a number, flip the number and change the sign.
On the 1st equation, the slope was 3/2....find its negative reciprocal.....flip it, making it 2/3....change the sign...making it -2/3. So the negative reciprocal of 3/2 is -2/3.
So if one equation has a slope of 3/2 and another equation has a slope of -2/3, then these lines are perpendicular <==
The length of the rectangle in #7 is 18 ft
I cannot see which region is shaded so I will solve for both:
1.
the radius of one circle is 3:
A=


A=(3.14)(9)
A=(28.26)
The area of the three circles is 84.78 feet squared
Area of rectangle is 108 feet squared (16*8)
108-84.78=23.22
The area of the shape around the circles is 23.22 feet squared
2:
The area of 1 circle is 28.26
The area of 3 circles is 84.78 feet squared
The area of the circles in the rectangle is 84.78 feet squared.