Answer:
the y intercept is 0,2
the slope is -6
Step-by-step explanation:
Call the radius r and the height of the cone h. The formula for the volume of a cone is r^2*h*pi/3, and the formula for the volume of a sphere is 4r^3/3, so half of a sphere has volume 2r^3/3. Adding these, our answer is:
Solving using quadratic formula: x=4, -7/3
Factor by grouping: (3x+7)(x-4)
Answer:
Yes, it will
Step-by-step explanation:
Given
Length of Ladder = 12 ft
Angle = 64
Required
Determine if it'll reach a height of 10.5ft from the base
See attachment for proper illustration.
<em>From the attachment, we want to determine that x be greater than 10.5</em>
Using sin formula:

Multiply through by 12


(Approximated)
<em>Since 10.79 is greater than 10.5, then the ladder will reach the window</em>
sin64 = x/12
x = 12* sin64
Answer:
From the graph, it is clear that the point of intersection is:
And the x-coordinate of the point of intersection for the two lines is:
Step-by-step explanation:
- As we know that the solution of the system of equations is the point of intersection. Let us solve it.
Given the system of equations

solving the system of equations
subtracting 2x+y = -9 from 2x-5y = -3




so

solving for y

Divide both sides by -6





Divide both sides by 2


Thus, the x-coordinate of the point of intersection for the two lines below will be:

Also, the graph is attached.
From the graph, it is clear that the point of intersection is:
And the x-coordinate of the point of intersection for the two lines is: