Answer:
1
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (5-8)/(-8 - -5)
= -3/(-8+5)
= -3/-3
= 1
Answer:
<h2>
V = 360π in³</h2>
Step-by-step explanation:
the formula for the volume of a cone of base radius r and height h is:
V = (1/3)(πr²)(h). Here, r = 6 in and h = 30 in. Then,
V = (1/3)(π)(6 in)²(30 in), or
= (1/3)π(36 in²)(30 in), or
V = 360π in³
Answer:
see the attached graph
Step-by-step explanation:
When an equation is in <em>standard form</em> (or almost standard form), I like to put it into <em>intercept form</em> for graphing. Here, it is convenient to divide the equation by 2 to put it in standard form (coefficients mutually prime).
x +3y = -3
Now, it is convenient to divide by the constant on the right (-3) to put the equation into intercept form:
x/(-3) +y/(-1) = 1
The denominators are the x- and y-intercepts, respectively. Plot those, (-3, 0) and (0, -1), and draw the line through them.