Find the equation of the line that contains the point (4, - 2) and is perpendicular to the line y = - 2x + 5.
2 answers:
<h3>Answer:</h3>
y=1/2x
<h3>Solution:</h3>- The slopes of perpendicular lines are opposite reciprocals of each other.
- The simplest way to determine a number's reciprocal is to flip it over, like so:
- Now, change the sign:
- So we have the <em>slope </em>of the line that's <em>perpendicular </em>to the given line.
- Now, let's find the line's equation.
- First, let's write it in Point-Slope Form:
- y-y1=m(x-x1)
- y-(-2)=1/2(x-4)
- y+2=1/2x-2 (Point slope)
- Now, convert to slope-intercept:
- y=1/2x+2-2
- y=1/2x
Hope it helps.
Do comment if you have any query.
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Answer:
The volume of a square based pyramid is <u>645.3 cubic inches</u>.
Step-by-step explanation:
Given:
The side of the base is 10 inches and the height of the the triangular face is 20 inches.
Now, to find the volume of square based pyramid.
Base side (a) = 10 inches.
Slant Height (s) = 20 inches.
Now, to get the height of pyramid by using pythagorean theorem:
Leg 1 =
Hypotenuse = 20 inches.
So,
Hypotenuse² = (leg 1)² + (leg 2)²
<em>Using square root on both sides we get:</em>
<em /><em />
<em>leg 2 = 19.36 inches.</em>
Thus, the height of pyramid = 19.36 inches.
Now, to get the volume of square pyramid we put formula:
h = 19.36 inches.
a = 10 inches.
<u><em>Hence, the volume to the nearest tenth is 645.3 cubic inches.</em></u>
Therefore, the volume of a square based pyramid is 645.3 cubic inches.