Answer: v = 45
Step-by-step explanation:
<h3>
Answer:</h3>
- One solution: (x, y) = (2, 0)
- Infinitely many solutions: 2x -5y = 17
<h3>
Step-by-step explanation:</h3>
1. When you put the second equation in standard form, it is ...
... 5x +3y = 10
This is a different equation than the first one, so there will be one solution where the lines interect. (Adding the two equations gives 10x=20 ⇒ x=2. Since adding or subtracting y gives the same result, y must be zero.)
2. When you put the second equation in standard form, it is the same as the first:
... 2x -5y = 17 . . . . . divide the equation by 3
That is, any (x, y) values that satisfy the first equation will also satisfy the second equation (since they are the same). There are an infinite number of (x, y) values that do so.
<u>Given</u>:
Given that the side length of the base of the square pyramid is 16 inches.
The height of the pyramid is 22.1 inches.
We need to determine the volume of the square pyramid.
<u>Volume of the square pyramid:</u>
The volume of the square pyramid can be determined using the formula,
where B is the area of the base and h is the height of the pyramid.
Substituting B = (16 × 16) and h = 22.1, we get;
Thus, the volume of the pyramid is 1885.9 cubic inches.
Based on the given horizontal and vertical sides of a rectangle and its perimeter, the value of x in the expression is 6
<h3>Perimeter of rectangle</h3>
Perimeter of rectangle = 2(length + width)
- Perimeter of the rectangle = 34 ft
- Length of the rectangle = 3(x - 2) ft
= 3x - 6
- Width of the rectangle = 4x - 7 + (-2x)
= 4x - 7 - 2x
= 2x - 7
Perimeter of rectangle = 2(length + width)
34 = 2{(3x - 6) + (2x - 7)}
34 = 2(3x - 6 + 2x - 7)
34 = 2(5x - 13)
34 = 10x - 26
34 + 26 = 10x
60 = 10x
x = 60/10
x = 6
Learn more about perimeter of rectangle:
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Answer:
x=−5/2 y+ 3/2
Step-by-step explanation:
Let's solve for x.
2x+5y=3
Step 1: Add -5y to both sides.
2x+5y+−5y=3+−5y
2x=−5y+3
Step 2: Divide both sides by 2.
2x/2
=
−5y+3
2x=
−5y+ 3/2
Answer:
x=−5/2 y+ 3/2
