Answer:
73
Step-by-step explanation:
48^2 + 55^2 = 5329
square root of 5329 is 73
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The vertices of a polygon are given as follows: P(-2,4), Q(4,2), R(4,0); S(-12,0); k = 0.5 Find the coordinates of the vertex P' of the image after a dilation having the given scale factor. Type your answers as a coordinate pair in this format: (x,y)</span>
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Step-by-step explanation:
1)
a) Draw the axis:x-axis is horizontal, y-axis is vertical
b) draw a point on any part of the plane (use color to highlight it)
c) draw a second point on a different part of the plane (again use color)
d) draw the straight line that passes through the two points (use a ruler).
That is it.
2)
a) Draw the axis: x-axis is horizontal and y-axis is vertical
b) Draw a stright line (use a ruler)
c) Draw a second straight line (use a ruler) which is not parallel to the first line. Extend the second line intil it intersects (and passes) the first line. The lines can only intersect in one point (if the lines are parallel they will not intersect each other).
Answer:
B. ![x = \sqrt{40}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Csqrt%7B40%7D%20)
Step-by-step explanation:
Using Pythagorean theorem, find the value of x.
Pythagorean theorem is given as ![c^2 = a^2 + b^2](https://tex.z-dn.net/?f=%20c%5E2%20%3D%20a%5E2%20%2B%20b%5E2%20)
Where,
c is the longest side of a right angled ∆ = the hypotenuse = x
a and b are legs of the right angled ∆ = 2 and 6
Plug in the values into the equation and solve for x
![x^2 = 2^2 + 6^2](https://tex.z-dn.net/?f=%20x%5E2%20%3D%202%5E2%20%2B%206%5E2%20)
![x^2 = 4 + 36](https://tex.z-dn.net/?f=%20x%5E2%20%3D%204%20%2B%2036%20)
![x^2 = 40](https://tex.z-dn.net/?f=%20x%5E2%20%3D%2040%20)
![x = \sqrt{40}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Csqrt%7B40%7D%20)