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Nonamiya [84]
2 years ago
8

Identify the ordered pair that represents the vector from a(-9 9) to b(7 3) and the magnitude of AB

Mathematics
2 answers:
expeople1 [14]2 years ago
8 0

Answer: 17.09

Step-by-step explanation:

Given:  The ordered pair that represents the vector from A(-9 9) to B(7 3).

The length of vector from points (x_1,y_1) and  (x_2,y_2)  is given by  using distance formula:-

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Now, the length of vector AB is given by:-

AB=\sqrt{(7-(-9))^2+(3-9)^2}\\\\=\sqrt{(7+9)^2+(-6)^2}\\\\=\sqrt{(16^2)+36} \\\\=\sqrt{256+36} \\\\=\sqrt{292}=17.0880074906\approx17.09

Therefore, the magnitude of Ab = 17.09

Viefleur [7K]2 years ago
6 0
Moving from a to b, the x component  of the desired vector is 7-(-9) = 16, and
the y component is 3-9 = -6.

So the vector from a to b is <16,-6>, and the magnitude is

sqrt(16^2 + (-6)^2 ), applying the Pythagorean Theorem.
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How to find the area of composite polygon that have a base of 16 meters height of 18 meters and a height of 11 meters.
LenaWriter [7]

The area of the composite polygon is:

\boxed{A_{T}=376 \ m^2}

<h2>Explanation:</h2><h2 />

Hello! remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any figure, so I'll choose the figure below in order to illustrate this problem. A composite polygon is a polygon that can be divided into two or more basic shapes. So here we have a composite polygon formed by a triangle and a rectangle. So:

A_{total}=A_{T} \\ \\ A_{triangle}=A_{tr} \\ \\ A_{rectangulo}=A_{r} \\ \\ \\ A_{tr}=\frac{b\times h}{2} \\ \\ b:Base \ of \ the \ triangle \\ \\ h:height \ of \ the \ triangle \\ \\ \\ A_{r}=B\times H \\ \\ B:base \ of \ the \ rectangle \\ \\ H:height \ of \ the \ rectangle

So the area of the composite figure is:

A_{T}=\frac{16\times 11}{2} + 16\times 18 \\ \\ A_{T}=88+288 \\ \\ \boxed{A_{T}=376 \ m^2}

<h2>Learn more:</h2>

Dilation: brainly.com/question/10946046

#LearnWithBrainly

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Answer:

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Step-by-step explanation:

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Therefore, you can identify that the slope of this line is:

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