Answer:
Step-by-step explanation:
<h2>Equation of line in slope y-intercept form:</h2>
![\sf y - [-3] = \dfrac{1}{2}(x - 2)\\\\y + 3 = \dfrac{1}{2}x - 2*\dfrac{1}{2}\\\\y + 3 = \dfrac{1}{2}x-1\\\\](https://tex.z-dn.net/?f=%5Csf%20y%20-%20%5B-3%5D%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%28x%20-%202%29%5C%5C%5C%5Cy%20%2B%203%20%3D%20%20%5Cdfrac%7B1%7D%7B2%7Dx%20-%202%2A%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5Cy%20%2B%203%20%3D%20%5Cdfrac%7B1%7D%7B2%7Dx-1%5C%5C%5C%5C)
Answer:
2.75 miles, 14520 feet
Step-by-step explanation:
11 miles/4=2.75
1 mile=5280 feet
2.75 miles=14520 feet
<h3>Answer:</h3><h3>Exact volume =
32pi</h3><h3>Approximate volume =
100.48</h3>
The approximate volume only applies when pi = 3.14
Use either answer, but not both of course.
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Work Shown:
V = volume of cylinder
V = pi*r^2*h
V = pi*2^2*8
V = pi*32
V = 32pi .... exact volume in terms of pi
V = 32*3.14
V = 100.48 .... approximate volume when we use pi = 3.14
Answer:the length of each side of the larger square is 6 centimeters.
Step-by-step explanation:
Let x represent the length of each side of the small square.
Let y represent the length of each side of the Large square.
The area of the small square is x^2
The area of the large square is y^2
The combined area of two squares is 45 square centimeters. This means that
x^2 + y^2 = 45 - - - - - - - - - - -1
Each side of one square is twice as long as a side of the other square. This means that
y = 2x
Substituting y = 2x into equation 1, it becomes
x^2 + (2x)^2 = 45
x^2 + 4x^2 = 45
5x^2 = 45
x^2 = 45/5 = 9
x = √9 = 3
Substituting x = 3 into y = 2x, it becomes
y = 2 × 3 = 6 centimeters
