2x - y = -2 . . . (1)
5x - 2y = -7 . . . (2)
From (1), y = 2x + 2 . . . (3)
Putting (3) into (2), gives:
5x - 2(2x + 2) = -7
5x - 4x - 4 = -7
x - 4 = -7
x = -7 + 4 = -3
y = 2(-3) + 2 = -6 + 2 = -4.
Therefore, the required answer is (-3, -4)
Answer:
Part--1:
We know that a equation in point-slope form is represented by:
<em> y-y1=m</em>
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where m is the slope of the line and is a point through which the line passes.
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Consider a equation in a point-slope form as:
This means that the slope of the line is: 5
and the line passes through the point (1,5).
Part--2:
Now as we know that if a line has a slope as m then the perpendicular line has a slope: -1/m
Since,
Let this perpendicular line passes through (2,6)
Hence, the equation of a line in point slope form is given by:
Step-by-step explanation:
Answer:
20x + 13
Step-by-step explanation:
5(4x + 3) - 2
5× 4x + 5×3 - 2
20x + 15 - 2
20x + 13
Answer: The definition of a complementary angle is "Either of two angles whose sum is 90°." Thus the complementary angle for 4 is angle 5.
P.S. if you feel this answer is satisfactory I would appreciate it if you would mark it brainiest.
The total time taken by Clem Shirestock to reach the gate is given by the equation 7 = 4√(x²+1)+ 8 - 2 x
Let the point P is at a distance of x miles from the toll gate.
Hence when Clem reaches the point P he rows in the form of right angled triangle. and we know that the width of the river is 1 mile.
So by using Pythagoras Theorem we can infer that the distance covered by Clem is the hypotenuse which is equal to √(x²+1).
Time taken to complete this route is 4√(x²+1) .
Now he has only to walk 4-x distance along the river.
His speed is 2 mph
Time taken = 2(4-x) = 8-2x
Hence we can conclude that the total time is 7 hours. so the equation to represent this is 7 = 4√(x²+1)+ 8 - 2 x .
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