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3 years ago

Can someone please help me i don’t really understand these questions

Mathematics

1 answer:

Gemiola [76]3 years ago

8 0

7) 9

8) 4

9) 20

Trust me

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Are the points (-4,-1), (2,1) and (11,4) collinear? Justify your answer.

bagirrra123 [75]

Answer: Yes , the points (-4,-1), (2,1) and (11,4) are collinear.

Step-by-step explanation:

We know that if three points $(x_1,y_1),(x_2,y_2)$ and $(x_3,y_3)$ are collinear, then their area must be zero.

The area of triangle passes through points $(x_1,y_1),(x_2,y_2)$ and $(x_3,y_3)$ is given by :-

$\text{Area}=\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|$

Given points : (-4,-1), (2,1) and (11,4)

Then, the area of ΔABC will be :-

$\text{Area}=\dfrac{1}{2}|-4(1-4)+(2)(4-(-1))+(11)(-1-1)|\\\\\Rightarrow\text{Area}=\dfrac{1}{2}|-4(-3)+(2)(5)+(11)(-2)||\\\\\Rightarrow\text{Area}=\dfrac{1}{2}|12+10-22|\\\\\Rightarrow\text{Area}=\dfrac{1}{2}|0|=0$

Hence, the points (-4,-1), (2,1) and (11,4) are collinear.

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3 years ago

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You calculate the average shower length to be 11 min and 15 seconds If everyone in a family of 5 showers daily, how much water w

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Determine whether each element of the set {7,8,9} makes the inequality 2x−3<15 true.

alukav5142 [94]

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An inequality describes a relationship between two different values. ... A visual representation of the set of real numbers as a series of points. inequality: A statement that of ... We see that this is a true statement, because 15 is greater than 9. ... Solve a compound inequality by balancing all three components of the inequality ...

Step-by-step explanation:

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2 years ago

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please help me. PLEASE HELP ME.IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each

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a) $\angle QST$

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