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)
<span>Isoscles right triangle</span>
Answer:
area = 5220 in²
Step-by-step explanation:
It's a little difficult to ensure accuracy without a diagram of the net, but from what you have said, the net appears to comprise of:
- 2 rectangles: 35 x 24
- 2 rectangles: 24 x 30
- 2 rectangles: 35 x 30
Therefore, the total area of the net is:
⇒ area = 2(35 x 24) + 2(24 x 30) + 2(35 x 30)
⇒ area = 5220 in²
Answer:
hope i helped
Step-by-step explanation:
desmos . com
hope i helped <3
Answer: y=x+15
every time x goes up by 5 y goes up by 5 also. If we look at the linear pattern 15+15=30, 20+15=35 and so on.
