Answer:
M = (-3,1)
Step-by-step explanation:
We need to find the midpoint M of the line segment joining the points
A = (-5,7) and B = (-1, -5)
The mid point of the line segment joining the points (x₁,y₁) and (x₂,y₂) is given by :
Hence, the required point is (-3,1).
The maximum possible area would have a length of 24 feet and width of 12 feet.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the length and y represent the width, hence:
Since beth has 48 ft fencing and cover 3 sides, hence:
x + 2y = 48
x = 48 - 2y (1)
Also:
Area (A) = xy
A = (48 - 2y)y
A = 48y - 2y²
The maximum area is at A' = 0, hence:
A' = 48 - 4y
48 - 4y = 0
y = 12 feet
x = 48 - 2(12) = 24
The maximum possible area would have a length of 24 feet and width of 12 feet.
Find out more on equation at: brainly.com/question/2972832
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Solution:
<u>Note that:</u>
- Slope = m = 4
- Given point: (x₁,y₁) = (1,1) [x₁ = 1; y₁ = 1]
- Formula: y - y₁ = m(x - x₁)
<u>Use the formula to convert the line in point slope form.</u>
- y - y₁ = m(x - x₁)
- y - 1 = 4(x - 1)
The equation of the line (In point slope form) is y - 1 = 4(x - 1).
Answer:
If the time passed is only 3 months, then it is $2040
Step-by-step explanation:
We can use the quarterly compounded interest equation for this problem: P(1 + r/n)^nt
Step 1: Find out how much 3 months is in a year
<em>In this case, 3/12 which is 1/4</em>
Step 2: Plug in known variables into equation
2000[1 + (0.08)/4)]^[(4)(1/4)]
Step 3: Solve/Plug in calc
You will get $2040
If the time passed in the problem is 1 year, then we can be able to solve how much money he earned per quarter. However, since only 3 months have elapsed, then he has only earned $2040.
I think the correct answer would be C. hope this helped !
