Answer/Step-by-step explanation:
Slope (m) = rise/run
y-intercept (b) = starting value or the point on the y-axis where the line cuts across
✔️Slope (m) of skater 1:
Rise = 45
Run = 7.5
Slope (m) = 45/7.5 = 6
✔️ y-intercept (b) of Skater 1:
b = 0 (the y-axis is intercepted at 0)
✔️Skater 1 linear function in slope-intercept form, y = mx + b
Substitute m = 6 and b = 0 into y = mx + b
Linear function: y = 6x + 0
y = 6x
✔️Slope (m) of skater 2:
Rise = 30
Run = 15
Slope (m) = 30/15 = 2
✔️ y-intercept (b) of Skater 2:
b = 0 (the y-axis is intercepted at 0)
✔️Skater 2 linear function in slope-intercept form, y = mx + b
Substitute m = 2 and b = 0 into y = mx + b
Linear function: y = 2x + 0
y = 2x
Answer:
(5)2
Step-by-step explanation:
As we know that the equation of circle with center at (h,k) ad radius r is given as-
(x−h)
2
+(y−k)
2
=r
2
Given that the centre of circle is (1,4) and radius is 5.
Therefore the equation of circle is-
(x−1)
2
+(y−4)
2
=(5)
2
Answer:
Cost per Electricity Unit= $0.61
Cost per Gas Unit= $0.22
Step-by-step explanation:
Suppose,
Cost per Electricity Unit: e
Cost per Gas Unit: g
for the first month condition, equation would be
and for the next month condition, equation would be like
By solving both linear equations simultaneously, we get
e=0.61 and g=0.22
Answer:
Step-by-step explanation:
A)
<u>Each edge of the greater cube has:</u>
- 1 : 1/6 = 6 times the small cube
<u>Number of small cubes:</u>
B)
The volume of the bigger cube is 1 in³
<u>The volume of each small cube is:</u>
