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4 years ago

What is the slopeOf a line that is perpendicular to a line who’s equation is 8y-5x=11

Mathematics

1 answer:

Anna35 [415]4 years ago

8 0

first off, let's put 8y - 5x = 11, in a slope-intercept form, so we can see what's its slope

$\bf 8y-5x=11\implies 8y=5x+11\implies y=\cfrac{5x+11}{8} \\\\\\ y=\stackrel{slope}{\cfrac{5}{8}}x+\cfrac{11}{8}$

so the slope of this line is 5/8, well then

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{5}{8}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{8}{5}}\qquad \stackrel{negative~reciprocal}{-\cfrac{8}{5}}}$

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4 years ago

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3 years ago

If the following system of equations was written as a matrix equation in the form AX = C,? and matrix A was expressed in the for

Tomtit [17]

The value of the expression a - b + c + d will be 7.

<h3>What is the matrix?</h3>

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The system of equations are given below.

5x + 7y = 7

3x - 2y = 9

Then the equations can be written in the form of matrix. Then we have

$\begin{bmatrix}5 & 7 \\3 & -2 \\\end{bmatrix} \begin{bmatrix}x \\y \\\end{bmatrix} = \begin{bmatrix}7 \\9 \\\end{bmatrix}$

Then the value of a, b, c, and d will be

a = 5, b = 3, c = 7, and d = -2

Then the value of the expression will be

a - b + c + d = 5 - 3 + 7 - 2

a - b + c + d = 12 - 5

a - b + c + d = 7

More about the matrix link is given below.

brainly.com/question/9967572

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2 years ago

The observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level

Paul [167]

Answer: The the speed of elevators is 22.55.

Explanation:

It is given that observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level in 60 seconds.

The speed is the change in distance with respect to time.

$\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total Time}}$

From the given information the total distance is 1353 and the total time is 60 seconds. So by the above formula we get,

$\text{Average Speed}=\frac{1353}{60}$

$\text{Average Speed}=22.55$

Therefore, the speed of elevators is 22.55.

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3 years ago