Answer:
c)
Step-by-step explanation:
(-4,2) ; (4,-5)
![Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-5-2}{4-[-4]}\\\\=\frac{-7}{4+4}\\\\=\frac{-7}{8}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5-2%7D%7B4-%5B-4%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-7%7D%7B4%2B4%7D%5C%5C%5C%5C%3D%5Cfrac%7B-7%7D%7B8%7D)
m = -7/8 ; (-4,2)
equation: y - y1 = m(x - x1)
![y-2=\frac{-7}{8}(x-[-4])\\\\y-2=\frac{-7}{8}(x+4)\\\\y-2=\frac{-7}{8}x +\frac{-7}{8}*4\\\\y=\frac{-7}{8}x-\frac{7}{2}+2\\\\y=\frac{-7}{8}x-\frac{7}{2}+\frac{4}{2}\\\\y=\frac{-7}{8}x-\frac{3}{2}\\](https://tex.z-dn.net/?f=y-2%3D%5Cfrac%7B-7%7D%7B8%7D%28x-%5B-4%5D%29%5C%5C%5C%5Cy-2%3D%5Cfrac%7B-7%7D%7B8%7D%28x%2B4%29%5C%5C%5C%5Cy-2%3D%5Cfrac%7B-7%7D%7B8%7Dx%20%2B%5Cfrac%7B-7%7D%7B8%7D%2A4%5C%5C%5C%5Cy%3D%5Cfrac%7B-7%7D%7B8%7Dx-%5Cfrac%7B7%7D%7B2%7D%2B2%5C%5C%5C%5Cy%3D%5Cfrac%7B-7%7D%7B8%7Dx-%5Cfrac%7B7%7D%7B2%7D%2B%5Cfrac%7B4%7D%7B2%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B-7%7D%7B8%7Dx-%5Cfrac%7B3%7D%7B2%7D%5C%5C)
The cardinality of a set refers to the number of elements in the set. It is found by counting the elements in the set.
<h3>What is cardinality of a set?</h3>
The cardinality of a set refers to the number of elements in the set. To obtain the cardinality, we have to count the elements in the set.
a) There are 6 elements in this set hence the cardinality is 6.
b) There is only one element in the set hence its cardinality is 1.
c) There are two elements in the set hence the cardinality is 2.
Learn more about cardinality of a set:brainly.com/question/19257002
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Answer:
A. The third angle measures 30*
B. Two sides have the same length
Answer:
A) <em><u>-</u></em><em><u> </u></em><em><u>13</u></em><em><u> </u></em><em><u><</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u><</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>1</u></em>
Step-by-step explanation:
1) Rewrite the inequality without the absolute value.

2) Subtract 7 from the whole equation.

3) Simplify.

<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>first</u></em><em><u> </u></em><em><u>option</u></em><em><u>.</u></em>