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fredd [130]
3 years ago
8

Please help me ASAP I WILL GIVE U BRAINLIEST!

Mathematics
1 answer:
cestrela7 [59]3 years ago
8 0

Answer:

\sqrt{13}

Step-by-step explanation:

Given a vector < x, y > then its magnitude is

\sqrt{x^2+y^2}

Given the directed line segment

P (0, 0 ) → Q (3, 2 ) then

PQ = q - p = (3, 2 ) - (0, 0 ) = < 3 - 0, 2 - 0 > = < 3 , 2 >

| PQ | = \sqrt{3^2+2^2} = \sqrt{9+4} = \sqrt{13}

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What two numbers multiply to -8 and add to -4
Ronch [10]

Answer:

  -2-2√3, -2+2√3

Step-by-step explanation:

Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:

  x(-4-x) = -8

  -4x -x^2 = -8 . . . . . eliminate parentheses

  x^2 +4x = 8 . . . . . . multiply by -1

  x^2 +4x +4 = 12 . . . add 4 to complete the square

  (x +2)^2 = 12

  x +2 = ±√12 = ±2√3

  x = -2±2√3

The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.

7 0
4 years ago
Is it a parallelogram or not?​
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Where is the picture
7 0
4 years ago
A landscaper wants to create a 12-foot-long diagonal path through a rectangular garden. The width of the garden is x feet and th
dolphi86 [110]

Answer:

Width of the rectangle =  6.7 ft

length of the rectangle = 10.7 ft

Step-by-step explanation:

ABCD is the rectangle.

AB = length of the rectangle = 4 + x ft

BC = width of the rectangle = x ft

AC = Diagonal of the rectangular field = 12 ft

Since ΔABC is the Right angle triangle. So

AC^{2} = AB^{2} + BC^{2}

12^{2} = (4 + x)^{2} + x^{2}

144 = x^{2} + 16 + x^{2} + 8 x

144 = 2x^{2} + 8x + 16

x^{2} + 4x -72 = 0

By solving above equation we get

x = 6.7 ft

Thus is the width of the rectangle.

And length of the rectangle = 4 + x

⇒ 4 + 6.7

⇒ 10.7 ft

5 0
3 years ago
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Find the Midpoint of the segment with the following endpoints (2,10) and (8,4)
Alex_Xolod [135]

Answer:

midpoint = (5,7)

Step-by-step explanation:

Use the midpoint equations. x1 + x2 / 2 and y1 + y2 / 2

2 + 8 = 10/2 = 5

10 + 4 = 14/2 = 7

4 0
3 years ago
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Which of the following terms is defined as a set of all points in a plane that are a given distance from a point? Circle Line se
natita [175]

Answer: a circle

Step-by-step explanation:

It’s not any of the other ones

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3 years ago
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