The equation of the segments perpendicular bisector is; y = -¹/₂x + 2
<h3>How to find the equation of the perpendicular bisector?</h3>
i) Since it is a perpendicular bisector, hence point M is the midpoint. Thus;
Midpoint (AB) = [(x₁ + x₂)/2], [(y₁ + y₂)/2] = (x_m, y_m)
Slope AB will be;
m₁ = ((x₁ - x₂)/(y₁ - y₂))
Slope of perpendicular bisector is;
m₂ = -1/m₁
Equation of perpendicular bisector is;
(y - y_m) = m₂(x - x_m)
ii) Midpoint (AB) = [(-2 + 6)/2], [(3 - 1)/2] = (2, 1)
Slope AB will be;
m₁ = ((6 + 2)/(-1 - 3)) = -2
m₂ = -1/-2 = 1/2
Equation of perpendicular bisector is;
(y - 1) = -¹/₂(x - 2)
y - 1 = -¹/₂x + 1
y = -¹/₂x + 2
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Answer:
an= 12 + (-6)(n-1)
Step-by-step explanation:
you should find two values: a1 and d
a1= first number =12
d= a number of the sequence mines the number of the sequence before the one you chose = 0-6 = -6
a1+(n-1)d= 12-6(n-1)
Answer: 600 bushels of 10% alcohol content and 400 bushels of 15% alcohol content.
Step-by-step explanation:
Let we add x quantity of 10% of alcohol content and y quantity of 15% alcohol content for making 12% of alcohol content mixture.
Then according to the question, 10% of x + 15 % of y = 12% of 1000
⇒ 0.1x + 0.15y = 120
⇒ 10x + 15y = 1200
⇒ 2x +3y = 2400 -------- (1)
And, x + y = 1000
⇒ 2x + 2y = 2000 ---------(2)
Equation 1) - equation 2)
We get y = 400
By putting the value of y in equation 1),
⇒2x + 1200 = 2400
⇒ 2x = 1200
⇒ x = 600
Thus, he needs to mix 600 bushel of 10% of alcohol content with 400 bushels of 12% of alcohol content for getting 1000 bushels of 12% of alcohol content.
Answer:
y-axis
Step-by-step explanation:
The x-coordinate is the location of a point as measured along the x-axis. The y-coordinate is the location of a point as measured along the y-axis.
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Another way to describe the y-coordinate is that it <em>tells you how far to move from the origin parallel to the </em><em>y-axis</em>.
The correct answer would be 41
