Answer:
The length of the hypotenuse is 
Step-by-step explanation:
we know that
In a right triangle
Applying the Pythagoras Theorem

where
c is the hypotenuse
a,b are the legs of the right triangle
substitute the values




Simplify

Answer:
Answer is power reducing and substitution
Step-by-step explanation:
EDGE 2020
Answer:
option c) x₁₁ + x₁₂ = 8000
Step-by-step explanation:
Given:
xij = gallons of component i used in gasoline j
gallons of component 1 available = 8,000
demand gasoline types 1 = 11,000
demand gasoline types 2 = 14,000
Here, we have only component 1 available i.e i = 1 only
( therefore, all the options containing i = 2 gets eliminated )
thus,
component 1 will fulfill the demand of gasoline types 1 and 2 i.e j = 1 and 2
hence,
the equation satisfying the above conditions comes out as:
x₁₁ + x₁₂ = 8000
that means gallons of component 1 used in gasoline 1 and 2 and the total equals to the gallons of component 1 available i.e 8000
The domain is all real numbers, and the range is all real numbers.
The bags of candy that was sold is 6
The bags of cookies that was sold is 10.
<h3>What are the linear equations that represent the question?</h3>
$8.50c + $4.50o = 79 equation 1
o - c = 6
o = 6 + c equation 2
Where:
<h3>How many bags of candy and cookies were sold?</h3>
Substitute for o in equation 1 using equation 2
$8.50c + $4.50(6 + c) = 79
$8.50c + 27 + 4.50c = 79
$8.50c + 4.50c = 79 - 27
$13c = 52
c = 52 / 13
c = 4
Substitute for c in equation 2
0 = 6 + 4 = 10
To learn more about linear functions, please check: brainly.com/question/26434260
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