Answer:
The perpendicular line would be y = -2x - 4
Step-by-step explanation:
First we must solve the original equation for y.
x - 2y = 7
-2y = -x + 7
y = 1/2x - 7/2
In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 2 = -2(x + 3)
y - 2 = -2x - 6
y = -2x - 4
Answer: {5 ± 2√10, 5 - 2√10}
Step-by-step explanation: First isolate the binomial squared by adding 40 to both sides to get (x - 5)² = 40.
Next, square root both sides to get x - 5 = ± √40.
Notice that root of 40 can be broken down to 2√10.
So we have x - 5 = ± 2√10.
To get <em>x</em> by itself, add 5 to both sides to get x = 5 ± 2√10.
So our answer is just {5 ± 2√10, 5 - 2√10}.
As a matter of form, the number will always come before the
radical term in your answer to these types of problems.
In other words, we use 5 ± 2√10 instead of ± 2√10 + 5.
It would be the middle choice. The choice on the left represents a line, and the choice on the right represents a line segment.
Hope this helps!
<h2>Answer: </h2>
We know that,
Length of arc = 2 × 3.14 × 6 × 45/360
Length of arc = 6.28 × 3/4
= 18.84/4
= 4.71units.
