Answer:
17(x-2)
Step-by-step explanation:
Given the expression
17x - 34
We are to factorize it
Get their factors
17x = 17 * x
34 = 17 * 2
Since 17 is common to both factors, hence 17 is the GCF
17x - 34 = 17(x - 2)
Hence the equivalent expression is 17(x-2)
The variables are
- x = number of mini hot dogs.
- y = number of mozzarella sticks.
And the system of equations is:
x*60 + y*70 = 1080
x = y + 5
<h3>
How to write the system of equations?</h3>
First, we need to define the variables that we will use on our system.
- x = number of mini hot dogs.
- y = number of mozzarella sticks.
We know that each hot dog has 60 calories and each mozzarella stick has 70 calories, and the total number of calories is 1080, then the first equation of our system is:
x*60 + y*70 = 1080
We also know that there are 5 more mini hot dogs than mozzarella sticks, then the second equation is:
x = y + 5
Then the system of equations that models the given situation is:
x*60 + y*70 = 1080
x = y + 5
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Answer:
angle 2, 4, 6 are 34 degrees
angle 7, 5, 1, 3 are 146 degrees
180-34= 146
The maximum height that the pendulum can reach will be 45 meters.
<h3>How to calculate the height?</h3>
It should be noted that the total energy at A should be equal to the total energy at B.
Therefore, this will be calculated thus:
1/2(14)² + 10(35) = 1/2(0)² + mgH
98 + 350 = 10H
448 = 10H
H = 448/10
H = 44.8 meters
H = 45 meters approximately
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Answer:
Number 4 is neither, number 6 is perpendicular
Step-by-step explanation: