equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4)
Perpendicular bisector lies at the midpoint of a line
Lets find mid point of (-9,-8) and (7,-4)
midpoint formula is
midpoint is (-1, -6)
Now find the slope of the given line
(-9,-8) and (7,-4)
Slope of perpendicular line is negative reciprocal of slope of given line
So slope of perpendicular line is -4
slope = -4 and midpoint is (-1,-6)
y - y1 = m(x-x1)
y - (-6) = -4(x-(-1))
y + 6 = -4(x+1)
y + 6 = -4x -4
Subtract 6 on both sides
y = -4x -4-6
y= -4x -10
equation for the perpendicular Bisector y = -4x - 10
Answer:
<em>1, 2, 3</em>
Step-by-step explanation:
Of the three units, the <em>kilogram</em> is the largest and the <em>milligram</em> is the smallest. The prefix “<em>kilo</em>” means a thousand and “<em>milli</em>” means one-thousandths.
1,000,000mg = 1kg
1kg = 1,000g
Solve for one of the variables in the first equation (in this case, I will solve for X):
X = Y + 3
Then use that value of X in the second equation to solve for Y:
X + 3Y = 9
(Y + 3) + 3Y = 9
4Y + 3 = 9
4Y = 6
Y = 1.5
Use the value of Y we just found in the X equation we created:
X = Y + 3
X = 1.5 + 3
X = 4.5
Therefore X = 4.5 or 9/2 and Y = 1.5 or 3/2.
To find Least Common Multiple by using Division Method we need to follow the following steps.
Step 1: Write the given numbers in a horizontal line, separating them by commas.
Step 2: Divide them by a suitable prime number, which exactly divides at least two of the given numbers.
<h3>HOPE IT HELPS YOU...</h3>
Answer:
625 cubic feet
Step-by-step explanation:
Given data
Base area= 125 square feet
Height = 15feet
The expression for the volume of a pyramid is given as
V= a^2*h/3
but a^2= 125 square feet
V= 125*15/3
V= 1875/3
V=625 cubic feet
