Answer: 87
Step-by-step explanation: 114 +60=174 and 174/2 is 87
Answer:
The area of ABCF is 2 and 2 × AB = 4
The statement proves that the conjecture is false
Step-by-step explanation:
A conjecture is a proposition or conclusion that is presumed to be true or correct but which is based on incomplete details or information
Given the length of the sides of rectangle ABDE, we have;
Length AB = 2 units
Length DE = 2 units
The area of ABDE = 2 × 2 = 4 unit²
Therefore, the area of the rectangle ABDE is equal to 2 × the length of either AB or DE
However, the are of rectangle ABCF = 2 × 1 = 2 unit²
While the area of rectangle 2 × the length of side AB = 2 × 2 = 4 unit², which is not equal to the number of square units in the area of the rectangle.
Therefore;
The area of ABCF is 2 and 2 × AB = 4
The statement (above) proves that the conjecture is false.
Suppose length is X -----> [1]
so the width is X - 5 -----> [2]
perimeter of rectangle = 2 ( length + width )
50 = 2 ( X + X - 5 )
50 = 2 ( 2X - 5 )
50 = 4X - 10
50 + 10 = 4X
60 = 4X
60/4 = X
15 = X
subsitute in [1] and [2]
length = 15 meters
width = 15 - 5 = 10 meters
*Answer*
y = -2
x = 5
*Step By Step Explanation*
To find y:
You’ll need to remove the x from the TOP equation, to do so,
You’ll need to find what is x + y, like so
2x + 2y = 6
x + y = 3
After you get this from division, subtract x + y from x + 3y and you’ll get this:
x + 3y - (x + y)
= x + 3y - x - y
= 2y
To find what 2y is, you have to subtract the value of x + y which is 3 from the value of x + 3y which is -1.
-1 - 3 = -4
Hence,
2y = -4
y = -2
To find x:
You would need to substitute the expression given with y. Like so:
x + 3y = -1
x + 3(-2) = -1
x - 6 = -1
x = 5
Hope it helps!
(There are also other ways to solve this system)
The amount of water in the pool after t minutes is modeled by the linear function , hence it is a function of time.
A <em>linear function</em> for the amount of water in the pool, considering that it is <u>drained at a rate of a gallons per minute</u>, is modeled by:
- In which V(0) is the initial volume.
In this problem, draining her hot tub at a rate of <u>5.5 gallons per minute</u>, hence , and:
Which is a function of time.
To learn more about linear functions, you can take a look at brainly.com/question/13488309