Answer:
Step-by-step explanation:
Alright, lets get started.
These are mixed number given.
Suppose the complete mixed number of second place is x.
Converting mixed numbers into fractions.
Adding x in both sides
Making common denominator
In mixed number form:
So comparing with given equation, the '?' sign will be equal to 4.
Hence the answer is 4 : Answer
Hope it will help :)
Answer:
The coordinates of B are (-2 , 9)
Step-by-step explanation:
A (8, 4)
M (3 , -1)
To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2
(Ax + Bx) / 2 = Mx
(8 + Bx) / 2 = 3
8 + Bx = 3 * 2
Bx = 6 - 8
Bx = -2
(Ay + By) / 2 = My
( -1 + By) / 2 = 4
-1 + By = 4 * 2
By = 8 + 1
By = 9
The coordinates of B are (-2 , 9)
The slope of the line passes through the points (-5,6) and (-3,2) is 2.
<h3>What is a slope?</h3>
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.
Given that the line that passes through the points (-5,6) and (-3,2).
The slope of the line is calculated by the formula,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 6 - 2) / ( -3 + 5)
Slope = 4 / 2
Slope = 2
Therefore, the slope of the line passes through the points (-5,6) and (-3,2) is 2.
To know more about slopes follow
brainly.com/question/3493733
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Answer:
h³- 8h² + 16h
Step-by-step explanation:
The problem tells us that the length and width of these boxes are both 4 inches less than the height of the box.
So if we name <u>h the height of the box</u>, the <u>width of the box would be h - 4 </u>and the <u>height of the box would be h - 4.</u>
Now, the volume of a rectangular prism is given by V = height x width x length
So, considering the values we have in this problem we get:
V= height x width x volume
V = h (h-4)(h-4)
V= h(h-4)²
V= h (h²-8h + 16)
V = h³- 8h² + 16h
Therefore, the polynomial representing the volume of this box in terms of the height is h³- 8h² + 16h
