The unit rate of 521 miles in 14 hours is 37.214 miles per hour.
The qualities of the set {(x,y): x>0,y>0} is as under:
- All points lie in first quadrant.
- All values are positive and greater than zero.
Given a set {(x,y),x>0,y>0}.
We are required to determine the qualities of the set.
We know that a set is a collection of things,numbers, fractions, etc.
In any set the values of x represents the domain of the function and the values of y represents the value of codomain of the function with which the set belongs to.
Set={(x,y): x>0,y>0}
From the above set we can find the qualities stated below:
- All points lie in first quadrant as the first quadrant only contains positive values of x and y.
- All values are positive because it is given that they are greater than zero
Hence the qualities of the set {(x,y): x>0,y>0} are that all values should be in first quadrant and all the values are positive.
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Answer:
y = 2x + 1 ;
y - 3 = - 3(x - 1) ; y = - 3x + 6 ;
Independent ;
(1, 3)
Step-by-step explanation:
Given the data:
Sidewalk 1:
x __ y
2 _ 5
0 _ 1
Sidewalk 2:
x __ y
1 _ 3
3 _ -3
Equation for sidewalk 1 in slope - intercept form:
Slope intercept form:
y = mx + c
c = intercept ; m = slope
m = (change in y / change in x)
m = (1 - 5) / (0 - 2) = - 4 / - 2 = 2
Y intercept ; value of y when x = 0
(0, 1) ; y = 1
Hence, c = 1
y = 2x + 1
Sidewalk 2:
Point slope form:
y - y1 = m(x - x1)
m = slope
m = = (-3 - 3) / (3 - 1) = - 6/2 = - 3
Point (x1, y1) = (1, 3)
y - 3 = - 3(x - 1)
To slope intercept form:
y - 3 = - 3(x - 1)
y - 3 = - 3x + 3
y = - 3x + 3 + 3
y = - 3x + 6
Since the slope of both lines are different, intersection will be at single point and will have a single solution. This makes it independent.
Using substitution method :
y = 2x + 1 - - - (1)
y = - 3x + 6 - - - (2)
Substitute (1) into (2)
2x + 1 = - 3x + 6
2x + 3x = 6 - 1
5x = 5
x = 1
From (1)
y = 2(1) + 1
y = 2 + 1
y = 3
Coordinate of the point of intersection = (1, 3)
Answer:
Hello
Step-by-step explanation:
Each yard is 3 feet, so
15•3= 45 feet
