Answer:
(-1,-1)
Step-by-step explanation:
finding y
-6x + 5y = 1
+ (6x + 4y = -10)
---------------------------
9y = -9
y = -1
finding x
-6x + 5(-1) = 1
-6x - 5 = 1
+ 5 = +5
-6x = 6
x= -1
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
Two composite numbers that have 8 as a factor are 16 and 24.
Answer:
5 months
Step-by-step explanation:
Given


Required [Missing from the question]
At what month will the cost be equal
To do this, we equate both expressions

This gives:

Collect like terms


Solve for m


Answer:
a. True
b. True
c. False
d. False
Step-by-step explanation:
<u>First Table</u>
Length=10 feet, Width=4 feet
Area =10 X 4=40 Square Feet
<u>Second Table</u>
The second table is half as long as the first table.
Length =0.5 X 10 =5 feet
Area=5 X Width= 5w
The area of the second table is one fourth the area of the first table.
Area of Second Table =
X Area of first table
5w=
X 40
5w=10
Width of the Second table, w=2 feet
The following are true.
(a)The width of the second table is 2 feet.
(b) The area of the second table is 10 square feet.