So the distance between subway stop and house is 19 units
Step-by-step explanation:
The distance formula will be used to calculate the distance between home and subway.
Here (x1,y1) are the coordinates of first point
and
(x2,y2) are the coordinates of second point
Given
(x1,y1) = (7, -6)
(x2,y2) = (-9,5)
Putting the values in the formula
Rounding off to nearest unit gives us 19.
So the distance between subway stop and house is 19 units
Keywords: Distance, distance formula
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The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let w represent the width, hence:
length = w + 33, height = w - 13
Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w
V(w) = w³ + 20w² - 429w
Rate of change = dV/dw = 3w² + 40w - 429
When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423
When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118
Rate = 10118 - 5423 = 4695 in³/in
The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
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Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean
Step-by-step explanation:
Answer:
5:15 pm
Step-by-step explanation:
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Answer:
Step-by-step explanation:
- The product of two matrices and equals a matrix , where the first element of the subscript represents the amount of files of the matrix and the second element represents the amount of columns of the matrix.
- Then, in this case , therefore, its product will result a matrix .
- Because C matrix is going to have an only file and three columns, we now have to find the values of the elements in each column, based on the elements of A and B.
- Commonly, to obtain the values of the resulting matrix, we just have to multiply each file of the first matrix by each column of the second matrix and sum, as follows:
- Finally, C matrix is