Bisector must pass through the mid-point, so we have to find out that mid-point of the segment:
mid point = x₁+x₂ / 2 , y₁+y₂/2
= 1 + 5 / 2 , 1 + 7 / 2
= 6/2 , 8/2
= (3, 4)
Slope of given segment = m = y₂-y₁ / x₂- x₁
m = 7-1 / 5-1
m = 6/4
m = 3/2
Now, segment which is perpendicular, will have the opposite & reciprocal slope, So, it would be: -2/3
We know, y - y₁ = m(x - x₁)
y - 4 = -2/3(x - 3)
y - 4 = -2/3x + 2
y = -2/3x + 6
In short, Your Final Answer would be: y = -2/3x + 6
Hope this helps!
Distribute the first set of parenthesis
<span><span>15<span>r<span><span>2</span><span></span></span></span>−20r+6r−8</span><span>
Combine like terms
</span><span><span>15<span>r<span><span>2</span><span></span></span></span>+(−20r+6r)−8</span><span>
Simplify your answer
</span><span>15<span>r<span><span>2</span><span></span></span></span>−14r−8
*Answer is </span>15r^2−14r−8*<span><span>
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The range of the function y = -x² - 3x when the domain is {-5,0,2} is:
{-10, 0}.
<h3>What is the range of a function?</h3>
The range of a function is the set that contains the output values for the given domain of the function.
In this problem, the domain is:
{-5,0,2}.
Hence the output values are:
- -(-5)² - 3(-5) = -25 + 15 = -10.
- -(2)² - 3(2) = -4 + -6 = -10.
Hence the range is:
{-10, 0}.
-10 repeats, but goes only once on the range.
More can be learned about the range of a function at brainly.com/question/10891721
#SPJ1
The answer is 0 because If two events are mutually exclusive, then the probability of either occurring is the sum of the
probabilities of each occurring.
Hope that Helps :)
