Answer:(4,1)
Step-by-step explanation: the function is goin up by 0.5/1. In other words it has a slope of 0.5. 4,1 dosent go with that pattern
Answer:
8
Step-by-step explanation:
times the 1/2 (2) by 4 because of half
Answer:
158.1
Step-by-step explanation:
Distance is the square root of (x1-x2)^2+(y1-y2)^2
square root of (-4-146)^2+(2-52)^2
square root of 150^2+50^2
square root of 22500+2500
square root of 25000
50sqrt10
Rounding is 158.1
Answer:
Parking lot is 60m wide
Step-by-step explanation:
In this question. We are asked to calculate the width of the parking lot. We proceed as follows:
We know that the total length of the field and the parking lot is 300m while the total width is 200m. We should remember that the field is rectangular in nature.
Since the parking lot is x meters, the length of the field would simply be (300-2x)m while the width of the field would be (200-x). The width would also have been 200-2x but we must remember that the field is only covered on 3 sides.
Area of the field is 30,000. This means if we multiply both, we get 30,000.
Mathematically;
(300-2x)(200-x) = 30,000
60,000-300x-400x+ 2x^2 = 30,000
2x^2-700x-30,000= 0
We can see we now have a quadratic equation we need to solve.
2x^2+500x-1200x-30,000= 0
2x(x+250) -120(x+250) = 0
(2x-120)(x+250) = 0
2x-120= 0 or x+250=0
2x = 120or x = -250
x = 120/2 or x= -250
x = 60 or x=-250
We discard x = -100 as x is length and cannot be negative
Hence, x = 60m
Answer:
0, 1, 2
Step-by-step explanation:
The solution to a system of equations given graphically is at the intersection of the individual graphs.
Graph (1)
There is no intersection between the 2 graphs so no solution
Graph (2)
There is one point of intersection between the 2 graphs so 1 solution
Graph (3)
There are two points of intersection between the 2 graphs so 2 solutions
