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1 year ago

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Points S, L, and P on this grid represent the locations of the school, the library, and the park, respectively.

1 answer:

agasfer [191]1 year ago

7 0

Using the distance formula, the distance from:

School to Library (SL) = 5 units.

Library to Park (LP) = 10 units.

<h3>What is the Distance Formula?</h3>

To calculate the distance between two points on a coordinate plane, the distance formula used is: $d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}$ .

Given the coordinates of each location as:

School, S = (0, 4)
Library, L = (4, 1)
Park, P = (-4, -5)

Distance from School to Library (SL):

SL = √[(4−0)² + (1−4)²]

SL = √[(4)² + (−3)²]

SL = √25

SL = 5 units

Distance from Library to Park (LP):

LP = √[(4−(−4))² + (1−(−5))²]

LP = √[(8)² + (6)²]

LP = √100

LP = 10 units

Learn more about the distance formula on:

brainly.com/question/661229

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Answer:

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Step-by-step explanation:

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$\begin{pmatrix}1&-1\\ \:\:2&1\end{pmatrix}\times \:\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}=\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}$

Multiply the rows of the first matrix by the columns of the second matrix

$=\begin{pmatrix}1\cdot \:1+\left(-1\right)\cdot \:3&1\cdot \:2+\left(-1\right)\cdot \:4\\ 2\cdot \:1+1\cdot \:3&2\cdot \:2+1\cdot \:4\end{pmatrix}$

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$\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}=\begin{pmatrix}-2&-2\\ \:5&8\end{pmatrix}$

Therefore,

$\:c_{11}=-2,\:\:\:c_{12}=-2$

$\:c_{21}=5,\:\:\:c_{22}=8$

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