Standard Equation for trig function: y = A cos (B (x - H))+ K
*Here, we are just dealing with A (amplitude) and B (period)
Period = 2π/ b
8 = 2π/ b
Solve for b: 2π/8 or π/4
Equation: y = 2 cos (π/4 (x))
Answer:
417.084
Step-by-step explanation:
9*6.5+12*9.757+14*17.25
58.5+117.084+241.5
⇒417.084
Answer:
45 = 45
or
just 45.
Step-by-step explanation:
a = 6 , b = 2
3(6) + 4(2)^3 - 5 = 3(6) + 4(2)^3 - 5 (Given)
18 + 32 - 5 = 18 + 32 - 5 (Solve parenthesis)
45 = 45 (combine like terms)
45 does equal 45 so there is the solution. There is infinite many solutions.
Answer:
<em>The slope of the line is m=6. </em>
<em>The y-intercept is (0,−24). </em>
<em>The equation of the line in the slope-intercept form is y=6x−24.</em>
Step-by-step explanation:
The slope of the line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.
We have that x1=2, y1=−12, x2=5, y2=6.
Plug the given values into the formula for the slope: m=(6)−(−12)(5)−(2)=183=6.
Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).
b=−12−(6)⋅(2)=−24.
Finally, the equation of the line can be written in the form y=mx+b.
y=6x−24.
Answer:
The slope of the line is m=6.
The y-intercept is (0,−24).
The equation of the line in the slope-intercept form is y=6x−24.
