Question 3)
Given
The point (1, -5)
The slope m = -5/6
Using the point-slope form of the equation of a line
where
- m is the slope of the line
In our case:
substituting the values m = -5/6 and the point (1, -5) in the point-slope form of the equation of the line
Thus, the point-slope form of the equation of the line is:
Question 4)
Given
The point (-1, 5)
The slope m = -7/2
In our case:
substituting the values m = -7/2 and the point (-1, 5) in the point-slope form of the equation of the line
Thus, the point-slope form of the equation of the line is:
Answer:
x=3y−1x=3y-1
x+2y=9x+2y=9
Replace all occurrences of xx with 3y−13y-1 in each equation.
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Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.
(3y−1)+2y=9(3y-1)+2y=9
x=3y−1x=3y-1
Add 3y3y and 2y2y.
5y−1=95y-1=9
x=3y−1x=3y-1
Solve for yy in the first equation.
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Move all terms not containing yy to the right side of the equation.
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Add 11 to both sides of the equation.
5y=9+15y=9+1
x=3y−1x=3y-1
Add 99 and 11.
5y=105y=10
x=3y−1x=3y-1
Divide each term by 55 and simplify.
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Divide each term in 5y=105y=10 by 55.
5y5=1055y5=105
x=3y−1x=3y-1
Cancel the common factor of 55.
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Cancel the common factor.
5y5=1055y5=105
x=3y−1x=3y-1
Divide yy by 11.
x=5,y=2
Step-by-step explanation:
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The given expression is:
Now, we know that the square of 1.1 is 1.21, which means that 1.1 multiplied by itself gives 1.21.
Mathematically, that can be expressed as:
or,
thus, the square root of 1.21 is 1.1
or
Thus, applying this in the expression in the question given to us, we will get:
Thus, 6.7 is the final answer for the given expression.
9514 1404 393
Answer:
8
Step-by-step explanation:
The formula for the number of degrees in the sum of the interior angles of an n-sided polygon is ...
sum of angles = 180°(n -2)
Filling in the given value and solving for n, we get ...
1080 = 180(n -2)
6 = n -2 . . . . . . divide by 180
8 = n . . . . . . . . add 2
The polygon has 8 sides.
Answer:
54 minutes
Step-by-step explanation:
45 minutes per 2.5 miles
45/2.5 = 18 minutes per mile
3 miles* 18 minutes= 54 miles