LCD(34, 45, 23) = LCM(4, 5, 3) = 22×3×5 = 60
34 = 4560
45 = 4860
23 = 4060
Make the fractions into improper fractions
4 5/7= 33/7 - Multiply the denominator with the whole number. 4*7=28, add 28 with the numerator. 28+5=33 .
6 3/7=45/7 - Multiply the denominator with the whole number. 6*7=42 , add 42 with the numerator. 42+3=45
33/7*45/7
Multiply the numerators together. Multiply the denominators together.
33*45=1485 ( numerators) , 7*7=49 ( denominators)
=1485/49 or in mixed number: 30 15/49
Answer: 1485/49 , 30 15/49
You have the following function:
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Derivate implictly the previous expression, as follow:
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Where you have used that:
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Then, the implicit derivative of the given expression is:
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Next, solve for y' as follow:
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Answer:
31*
Step-by-step explanation:
right triangle means 90* so 90*-59* = 31*
Rearrange the polynomial:
a^2–2ab+b^2 - c^2
((a-b)(a-b))-c^2
(a-b)^2-c^2
Set x =a-b and y=c. The formula becomes
x^2-y^2
factoring this polynomial, we get
(x+y)(x-y)
Substituting back, we get:
(a+b+c)(a+b-c)
Let’s multiply it out to check:
A^2 -ab ac
- ab B^2 -bc
-ac bc -c^2