Write an equation for "nine times a number decreased by five is the same as six times the same number increased by seven.
1 answer:
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Answer:
x = 1, y = 2
Step-by-step explanation:
In the elimination method to solve a system of linear equations, one of the two equations is added/subtracted to the other, in order to eliminate one variable from the equation.
In this problem, we have the following two equations:
To solve the system, first we multiply by 2 both sides of the second equation, and we get:
So now the system is
Now we add the two equations, and we get:
So, we get
Now we can substitute this value of y into the eq.(2), and we get:
Answer:
Yes, it will
Step-by-step explanation:
Given
Length of Ladder = 12 ft
Angle = 64
Required
Determine if it'll reach a height of 10.5ft from the base
See attachment for proper illustration.
<em>From the attachment, we want to determine that x be greater than 10.5</em>
Using sin formula:
Multiply through by 12
(Approximated)
<em>Since 10.79 is greater than 10.5, then the ladder will reach the window</em>
sin64 = x/12
x = 12* sin64