Answer:
option 4) x = 14 y = 7
Step-by-step explanation:
We are given a side angle and a side length so we can use trigonometry to find the solution
To find x we can use sine because the given side length is opposite to the angle so,
sin(60) =
solve for x and you get 14 (make sure you check that your calculator is in degrees)
for either use Pythagorean theorem or remove sine by tangent.
Answer:
Slope:
y-intercept:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
The slope can be found with the following formula:
In this case you can say that:
Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:
By definition, the line intersects the y-axis when the value of "x" is 0.
Notice in the table that when ,
Therefore, the y-intercept is:
Pennies (P) = 24
Nickels = 1/2P
Dimes = 1/2P + 5
Quarters = (1/2P + 5) -6
Therefore...
Nickels = 1/2P = 1/2(24)= 12
Dimes = 12 + 5 = 17
Quarters = 17 - 6 = 11
so all those quadratics have their parent y = x², which has the graph of a "bowl".
and depending on the coefficient, the bowl is wider or not.
the larger the coefficient, the narrower the bowl, the smaller the coefficient, the wider the bowl.
well, 1/2 is smaller then 2, thus y = (1/2)x² is wider than y = 2x².