Answer: y= 16.97 ×=7.27
Step-by-step explanation:
Click on file for workings
<h3>Answer: The lines are perpendicular</h3>
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Work Shown:
Use the slope formula to find the slope of the line through the two given points.
m = (y2 - y1)/(x2 - x1)
m = (-4 - (-5))/(6 - (-7))
m = (-4 + 5)/(6 + 7)
m = 1/13
The slope of the line through the two given points is 1/13.
This is not equal to -13, which was the slope of the first line, so the two lines are not parallel.
However, the two lines are perpendicular because multiplying the two slope values leads to -1
(slope1)*(slope2) = (-13)*(1/13) = -1
note: It might help to think of -13 as -13/1 to help multiply the fractions.
Answer:
-1.15
Step-by-step explanation:
The tangent of the angle can be found as ...
tan(t) = (y-coordinate)/(x-coordinate) = -4/7
The secant of the angle is related by ...
sec(t)² = tan(t)² +1 = (-4/7)² +1 = 65/49
Then the secant of this 2nd-quadrant angle is ...
sec(t) = -√(65/49) = -(√65)/7 ≈ -1.15
Answer:
70
Step-by-step explanation:
Finding the common denominator is really just finding the gcf of 7 and 10. The gcf of 7 and 10 is 70. So the common denominator is 70.
Answer:
52 years.
Step-by-step explanation:
Represent my current age by c. Then 400 - 2c = 296, or
104 = 2c
Then c must be 104/2, or 52 years.
