Its 1 and 25 upon 100
if u write in its simplest form then
1 and 1 upon 4
Standard form, move the variables to the left-hand-side, leave the constant on the right-hand-side, usually the "x" comes first,
Answer:
The equation of the perpendicular bisector is y = x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
The rule of the slope is m = , where
- (x1, y1) and (x2, y2) are two points on the line
- The rule of the mid-point is M = ()
- The product of the slopes of the perpendicular lines is -1, that means if the slope of one is m, then the slope of the other is (we reciprocal m and change its sign).
∵ A line passes through points (-1, 5) and (-7, -7)
∴ x1 = -1 ad y1 = 5
∴ x2 = -7 and y2 = -7
→ Use the rule of the slope above to find the slope of the line
∵ m = = = = 2
∴ m = 2
→ Reciprocal the value of m and change its sign to find the slope of
the line perpendicular line
∴ m⊥ =
→ Substitute in the form of the equation above
∵ y = x + b
∵ The ⊥ line is also the bisector of the given line, find the mid-point
of the given line because it is also lying on the ⊥ line
∵ M = () = () = (-4, -1)
∴ M = (-4, -1)
→ Substitute the coordinates of M in the equation of the ⊥ line above
∵ x = -4 and y = -1
∴ -1 = (-4) + b
∴ -1 = 2 + b
→ Subtract 2 from both sides
∴ -3 = b
→ Substitute the value of b in the equation
∴ y = x + -3
∴ y = x - 3
∴ The equation of the perpendicular bisector is y = x - 3
Answer:
z=1.96
Step-by-step explanation:
Using normal distribution table or technology, 97.5% corresponds to z=1.959964, generally denoted z=1.96, or 1.96 standard deviations above the mean.
(above value obtained from R)