3) What is the shape of the graph of the equation y = 5x – 2?
1 answer:
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We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.
The value of x is <span>5 feet. </span>
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.
The value of x is <span>5 feet. </span>
Answer:
The length of the slant height of the square pyramid is 20 in.
Step-by-step explanation:
The lateral surface area of a regular pyramid is the sum of the areas of its lateral faces.
The general formula for the lateral surface area of a regular pyramid is
where represents the perimeter of the base and
the slant height.
From the information given we know that:
- The lateral surface area of a square pyramid is 440 in².
- The area of the base is 121 in².
And we want to find the the slant height of the pyramid.
For this, we also need to know that the area of a square is given by , where <em>s</em> is the length of any side and the perimeter of a square is given by
.
Applying the formula for the area of a square we can find the length of the side
The perimeter of the base is
Next, we can apply the formula for the lateral surface area and solve for the slant height.
The length of the slant height of the square pyramid is 20 in.