Answer:
y = 
+ 2
Step-by-step explanation:
The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:
Slope(s) = Change in y ÷ change in x
s = 
= 3
The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = 
Reason: The product of slopes of lines perpendicular to each other have to be -1
So the slope of the perpendicular line that passes through (-6,4) is
As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x
Taking another point (x,y) on the line,
= 
= 
y - 4 = x - 2
y = x + 2
Answer: one and one third 1 1/3
Step-by-step explanation:
2/3 divided 1/2
2/3•2/1
4/3 or 1 1/3
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
x = one angle
y = other angle
y = 15+x
complements add to 90 degrees
x+y = 90
substitute for y (15+x)
x + 15+x = 90
combine like terms
2x+ 15 = 90
subtract 15 from each side
2x = 75
divide each side by 2
x = 75/2
x = 37.5
y = x+15
y = 37.5 + 15
y =52.5
The two angles are 37.5 and 52.5
Answer:
25 doughnuts
Step-by-step explanation:
for 15 workers,
the numbers of doughnuts =
5 doughnuts/3 workers × 15 workers
= 75/3 doughnuts
= 25 doughnuts
