<h2>X = 9</h2><h3></h3><h3>All of the equations are equal since it is an equilateral triangle.</h3><h3>So, just pick two equations and solve them.</h3><h3 /><h3>3x - 1 = 2(x + 4)</h3><h3>distribute</h3><h3>3x - 1 = 2x + 8</h3><h3>add 1 to both sides</h3><h3>3x = 2x + 9</h3><h3>subtract 2x from both sides</h3><h3>x = 9</h3><h3 /><h3>DOUBLE-CHECK (If you want to)</h3><h3>4x ÷ 2 + 8 = 3x - 1</h3><h3>subtract 8 from both sides</h3><h3>4x ÷ 2 = 3x - 9</h3><h3>simplify</h3><h3>2x = 3x - 9</h3><h3>subtract 3x from both sides</h3><h3>-x = -9</h3><h3>divide both sides by -1</h3><h3>x = 9</h3><h3 /><h3>TRIPLE-CHECK (If you want to)</h3><h3>4x ÷ 2 + 8 = 2(x + 4)</h3><h3>simplify</h3><h3>2x + 8 = 2x + 8 (It's already equal)</h3>
slope is zero for both of them. Why?
Since slope, m = rise/run
which is m = (y2-y1)/(x2-x1)
since y2-y1 is zero for both cases and zero divided by any number is zero therefore the slope is zero for both. hope this helps!
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:
