<span>Given ΔABC with A(-6, -1), B(3, 7), and C(4, -6)
</span>Since it is an altitude and pass thru B, then it is perpendicular to AC.
so slope(AC) = (-1 +6)/(-6 - 4) = -5/10 = -1/2
perpendicular lines, slope is opposite and reciprocal
so slope = 2
passes through B(3, 7)
y - 7 = 2(x - 3)
y - 7 = 2x - 6
y = 2x + 1
equation in slope intercept form:
y = 2x + 1
Parallel lines have the same slope and perpendicular lines have opposite reciprocal slopes.
Parallel slope = -1/4
Perpendicular slope= 4
Answer:
60%.
Step-by-step explanation:
We have been given that Greta made 36 out of 60 free throws during a basketball season.
To find the percent of free throws that Greta made we will find 36 is what percent of 60.
Therefore, Greta made 60% of free throws.
Taxable income = adjusted income − (deductions + allowance for exemptions) With deductions, you can itemize deductions or use the standard deduction.
Find where the two curves intersect:
<em>y</em> = 6<em>x</em> - 2<em>x</em> ²
<em>y</em> = <em>x</em> ²
6<em>x</em> - 2<em>x</em> ² = <em>x</em> ² → 3<em>x</em> ² - 6<em>x</em> = 3<em>x</em> (<em>x</em> - 2) = 0 → <em>x</em> = 0 and <em>x</em> = 2
Now, for a shell of radius <em>x</em> units away from the axis of revolution, the height of the shell would be the vertical distance between the upper curve and the lower curve. For 0 ≤ <em>x</em> ≤ 2, we have 6<em>x</em> - <em>x</em> ² ≥ <em>x</em> ², so the height of any given shell is (6<em>x</em> - <em>x</em> ²) - <em>x</em> ² = 6<em>x</em> - 2<em>x</em> ².
Then volume of the solid is