Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept → (0, b)</em>
The formula of a slope:

From the table we have an y-intercept (0, 9) → b = 9.
Take other point from the table (-6, -1).
Calculate the slope:

Finally:

Answer:
12a + 24 = 6(2a + 4) is the equivalent expressions
Step-by-step explanation:
Given the terms ; 4, 12a, 6, 2a, and 24
There are two terms with unknown = 12a and 2a
but 12a = 2a x 6 .........(1)
from the last term = 24 = 6 x 4 ...........(2)
add both equation 1 and 2 = 12a + 24
12a + 24 = 6(2a + 4) is the equivalent expressions .
to VERIFY; Use a = 2
substitute into the expression ; LHS = RHS
= 12(2) + 24 = 24 + 24 = 48 (LHS)
FOR RHS = 6(2a+4) = 6(2x2 + 4)
= 6(4+4) = 48
Hence LHS = RHS
Answer:
y=10x
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Since there is 112 more red marbles than green marbles,
7 units= 112
1 unit= 112÷7= 16
2 units(no. of blue marbles)=16×2=32
Answer:
Positive co terminal angle = -105°
Negative co terminal angle = 225°
Step-by-step explanation:
We have been given the angle 75° and we have to find one positive and one negative co-terminal angle.
In order to find the co terminal angle, we add and subtract 180° to the given angle.
Therefore, the negative co terminal angle is given by
75 - 180 = -105°
And the positive co terminal angle is given by
75 + 180 = 225°