Let x, represent the number of minutes and y represents the number of gallons of water in the tub, then the ordered pairs (2, 30) and (5, 12) satisfies the equation.
Therefore the equation is given by: (y - 30)/(x - 2) = (12 - 30)/(5 - 2)
(y - 30)/(x - 2) = -18/3 x = -6
y - 30 = -6(x - 2) = -6x + 12
y = -6x + 42
Required equation is y + 6x = 42.
C ) 131 is the answer
in the upside-vertex (not inverted) triangle, angle to your left hand side would be equal to x (as interior alternate angles) = 68
and the angle to the right would be 180-y= 180-117 = 163 (as linear angles)
so the angle at the vertex = 180 - (68 + 163) =49 (as angles in a triangle sum upto 180)
so the angle mz = 180 - 49 = 131 degrees (as linear pair of angles or angle in a straight line)
Answer:
y - 2 = 1/2(x + 6)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (-6, 2)
Slope <em>m</em> = 1/2
<u>Step 2: Find</u>
- Substitute in variables [Point-Slope Form]: y - 2 = 1/2(x - -6)
- Simplify: y - 2 = 1/2(x + 6)
0 + -4 = -4
the 0 has no value and cannot add anything on top of the -4
So -4 stays the same:)
Answer = -4
Good Luck! :)
