Answer:
q=4/3
Step-by-step explanation:
simplify the right side, to 5/3
5/4q=5/3
multiply 4/5 on both sides
q = 5/3*4/5
q = 4/3
Answer: The correct answer is choice D.
There are multiple ways to get to the right answer. You could plot the points on a graphing calculator. Then, graph each function to determine which equation matches the points.
You could also input the x values and see which equation produces the y values in the chart.
On thing to notice is the we have negative output values, there we need to pick either B or D, so the values go beneath the x-axis.
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Step-by-step explanation:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable
The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are sides not opposite to the right angle, shown as a square. C represents the hypotenuse, or side opposite of the right angle
We see that a = 14 (it can also be b; both can be plugged in as both are adjacent and not opposite of the right angle)
c = 19; hypotenuse is opposite of right angle
14^2 + b^2 = 19^2
196 + b^2 = 361
b^2 = 361 - 196
b^2 = 165
b = square root of 165
b = 12.845
x = 12.845
