Answer:
D-10
Step-by-step explanation:
Meet of lines: y = 3x − 2 and y = -2x + 3?
y=3x-2 has slope 3 and y intercept -2 (which means thru (0,-2)) , so that's the blue line through point D.
y=-3x+3 has slope -2 and y intercept 3, so the red line through points A, C and D.
The point D(1,1) is the intersection of the lines. Let's check that algebraically:
3x-2=3(1)-2=1=y, good
-2x+3 = -2(1)+3=1=y, good
Answer: D
Answer:The tangent function is negative in the second and fourth quadrants. To find the second solution, subtract the reference angle from
π
π
to find the solution in the third quadrant.
Step-by-step explanation:
Answer:
Approximately 
Step-by-step explanation:
we know that
The volume of a cylinder (barrel) is equal to

in this problem we have

-----> the radius is half the diameter
substitute

<u>Convert to gallons</u>

Answer:
y = 3x + 7
Step-by-step explanation:
First, we will solve for the slope (m).
The formula for slope is: m = 
m =
--- enter the points into the formula
m =
--- simplify
m = 3 --- simplify
Now we will solve for the y-intercept (b).
y = mx + b
y = 3x + b --- substitute the slope into the equation
-20 = 3(-9) + b --- substitute the x and y of either point into the equation
-20 = -27 + b --- simplify
7 = b --- add 27 to both sides
b = 7
Done.
y = 3x + 7