<u>Answer-</u>
The equation that describes the pattern is,

<u>Solution-</u>
P = Number of minutes Rodney spends practicing playing the piano
G = Number of minutes Rodney spends practicing playing the guitar
Taking P on x axis and G on y axis, the points are,

Taking first two points i.e
, the line equation will be,






Putting the other two points i.e
in the equation, they also satisfy the equation. That means they are also on the same line
.
From the result, it is evident that P and G are linearly related.
Difference means subtract so we can reduce the choices right away to first and third choices. of the only the first is the difference of squares, namely x² - 4²
Answer:
x = -8, y = 6
Step-by-step explanation:
x + 2y = 4 ------(1)
x + y = - 2
y = - x - 2 ----------(2)
Substitute y in (1)
x + 2(- x - 2) = 4
x - 2x - 4 = 4
- x = 4 + 4
x = -8
Substitute x in (2)
y = - (- 8) - 2 = 8 - 2 = 6
Answer:
2 units
Step-by-step explanation:
The given equation of the circle is:

The general equation of the circle is:

Comparing the given equation with the general equation we can say:
g = 4
f = -3
c = 21
The formula for radius of the circle is:

Using these values of the given circle, we get:

Therefore, the length of radius of the given circle is 2.
Answer:
Greater ; Greater
Smaller ; Greater
Step-by-step explanation:
Slopes
First row
A: 15/2
B: (25-12.5)/(4-2) = 12.5/2
A has a greater slope than B
-4x + 2y = 8
2y = 4x + 8
y = 2x + 4
A: 2
B: 3/2
A has a greater slope than B
Second Row
A: (2.6-2)/(3-0) = 0.6/3 = 0.1
B: (5-4)/(4-0) = 1/4 = 0.25
A has a smaller slope than B
A: 60
B: (325-50)/5-0) = 275/5 = 55
A has a greater slope than B