1. A
I hope this helped! This is because the division of numbers and factors are equal to this.
-2
I just took this class for Algebra 1... it would be -2
y=mx+b
this is the equation you will use for these problems. the "b" in the equation represents the y intercept. In this specific problem -2 is the y intercept
Answer:
y = 2x − 1
Step-by-step explanation:
By eliminating the parameter, first solve for t:
x = 4 + ln(t)
x − 4 = ln(t)
e^(x − 4) = t
Substitute:
y = t² + 6
y = (e^(x − 4))² + 6
y = e^(2x − 8) + 6
Taking derivative using chain rule:
dy/dx = e^(2x − 8) (2)
dy/dx = 2 e^(2x − 8)
Evaluating at x = 4:
dy/dx = 2 e^(8 − 8)
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
Now, without eliminating the parameter, take derivative with respect to t:
x = 4 + ln(t)
dx/dt = 1/t
y = t² + 6
dy/dt = 2t
Finding dy/dx:
dy/dx = (dy/dt) / (dx/dt)
dy/dx = (2t) / (1/t)
dy/dx = 2t²
At the point (4, 7), t = 1. Evaluating the derivative:
dy/dx = 2(1)²
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
The volume of a cone is pi multiplied by the radius squared times the height divided by three.
If 3.14 is used for pi:
V = 3.14 * 15^2 (9/3)
= 3.14 * 15^2 (3)
= 3.14 * 225 * 3
= 706.5 * 3
= 2,119.5 cm cubed
If 3.14 is not used for pi:
<span>V = pi * 15^2 (9/3)
</span> = pi * 15^2 (3)
= pi * 225 * 3
= 706.8583470577035 * 3
= 2,120.57504117311 cm cubed
