Hi there! Can someone help me with this, i need a proper answer, i don't need LINKS or FILES for the explanations.
1 answer:
Answer:
<u>Using below system of inequalities</u>
- y > 2x - 3
- y < x + 1
<u>Following the rules </u>
- 1. Finding x- and y - intercepts
- 2. Connecting with dotted line for each as no equal symbol present in any inequality
- 3. Shade respective regions
- 4. Solution is the intersection of the shades regions
- 5. Select any three points in the solution region
<u>Line 1</u>
- y > 2x - 3
- x- intercept: y = 0 ⇒ 0 = 2x - 3 ⇒ 2x = 3 ⇒ x = 1.5
- y - intercept: x = 0 ⇒ y = -3
- Shaded region is above the line (or to the left)
<u>Line 2</u>
- y < x + 1
- x- intercept: y = 0 ⇒ 0 = x + 1 ⇒ x = -1
- y - intercept: x = 0 ⇒ y = 1
- Shaded region is below the line (or to the right)
<u>Selected points are:</u>
- (-1, -1), (1, 1), (2, 2)
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Answer:
For a rectangle of length L and width W, the area is:
A = L*W
In this case, we know that;
The length is 18ft more than the width.
L = W + 18ft
The area is 175 ft^2
Then:
A = 175 ft^2
Then we have a system of two equations:
L = W + 18ft
A = L*W = 175 ft^2
To solve this, the first step would be to replace the first equation into the second one:
(18ft + W)*W = 175ft^2
Now we can solve this for W.
18ft*W + W^2 - 175ft^2 = 0.
This is the quadratic equation, i will solve it just to be complete.
We have a quadratic equation, using the Bhaskara formula we can find the two solutions as:
Then the two solutions are:
W = (-18ft - 32ft)/2 = -25ft (This option can be discarded, because a negative width has no sense)
W = (-18ft + 32ft)/2 = 7ft
Then the width is 7ft long, and the lenght will be:
L = W + 18ft = 7ft + 18ft = 25ft