Answer: y= -2x - 500
Step-by-step explanation:
Parallel lines have the same slopes but different y-intercepts. This means that the line parallel to y=-2x + 3 will have the same slope which is -2.
We will input the x and y coordinates for the given point into the formula and solve for the y-intercept to write the equation.
-100 = -2(-100) + b where b is the y-intercept
-100 = 400 + b
-400 -400
b = -500
The y intercept is -500 and the slope is -2 therefore, the equation will be
y= -2x - 500
Answer:2 days
Step-by-step explanation:
The two expressions are equivalent.
<h2>Linear system</h2>
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
2x + 4 - 1 can be represented as 2x + 3
3 + x + x can be represented as 3 + 2x
<h3>To find </h3>
The two expressions are equivalent.
<h3>How do find the two expressions are equivalent?</h3>
At x = 6
2x + 3 and 3 + 2x
2(6) + 3 and 3 + 2(6)
12 + 3 and 3 + 12
15 and 15
Both are equal.
At x = 2
2x + 3 and 3 + 2x
2(2) + 3 and 3 + 2(2)
4 + 3 and 3 + 4
7 and 7
Both are equal.
Thus the two expressions are equivalent.
More about the linear equation link is given below.
brainly.com/question/20379472
To solve the problem shown above, you must apply the following proccedure:
1. You have the following information given in the problem:
- M<span>ike built a sandcastle that has a height o 2 3/6 feet.
- Mike added a flag that has a height of 2 2/4 feet.
2. Then, you only have to sum 2 3/6 feet and 2 2/4, as below:
2 3/6 feet=2.5 feet
2 2/4 feet=2.5 feet
3. So, you have:
total height=</span>2 3/6+2 2/4
<span> total height=4 1/1 feet
W</span><span>hat is the total height of his creation?
The answer is: 4 1/1 feet.</span>
Answer:
10 ft x 10 ft
Area = 100 ft^2
Step-by-step explanation:
Let 'S' be the length of the southern boundary fence and 'W' the length of the eastern and western sides of the fence.
The total area is given by:

The cost function is given by:

Replacing that relationship into the Area function and finding its derivate, we can find the value of 'S' for which the area is maximized when the derivate equals zero:

If S=10 then W =20 -10 = 10
Therefore, the largest area enclosed by the fence is:
