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Alexxandr [17]
2 years ago
12

An orchard has 80 apple trees and 60 peach trees. Which is NOT a ratio of apple trees to total number of trees?

Mathematics
1 answer:
Troyanec [42]2 years ago
4 0
80:60 is not one of the right ratios of apple trees to the total number of trees
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Lines P and Q are parallel. What is the measure of angle 1
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Answer:

Next time show a picture

Step-by-step explanation:

But! A way you could solve this is to look at the opposite angle of 1 and see what the number is. The number opposite of 1 is always equal to 1. You could also see if there is a number next to 1. The number next to 1 +1= 180 degrees. Good luck!

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3 years ago
show that thw roots of the equation (x-a)(x_b)=k^2 are always real if a,b and k are real. Please I really need help with this
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Answer:

see explanation

Step-by-step explanation:

Check the value of the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real

• If b² - 4ac = 0 roots are real and equal

• If b² - 4ac < 0 then roots are not real

given (x - a)(x - b) = k² ( expand factors )

x² - bx - ax - k² = 0 ( in standard form )

x² + x(- a - b) - k² = 0

with a = 1, b = (- a - b), c = -k²

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For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0

Hence roots of the equation are always real for a, b, k ∈ R


           

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