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nika2105 [10]
3 years ago
12

Use prime factorization to find gcf of 57 and 27

Mathematics
1 answer:
Vadim26 [7]3 years ago
4 0
Gcf (57,27) = <span><span><span>57×27/</span><span>lcm(57,27)</span></span>=<span>1539/513</span></span> = 3
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Consider the following sets:
bagirrra123 [75]
U = {points on the coordinate plane}
A = {solutions to the equation y = 2x + 5}
B = {points on the line y = mx}

Value of the slope m so that  {2x + 5} ∩ {mx} =Ф
This means that {2x + 5} never intersects with {mx}
To that end m=2 (same slope), if so the 2 linear functions:

y = 2x+5 and y = 2x are PARALLEL


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Y = 4x-9<br> y = x-3<br> Which method and why? Solve, shoving all work
vodomira [7]

Answer:

(2,-1)

Step-by-step explanation:

The ys in both questions are isolated on one side of the equation in both. The numerical coefficient of both is 1. Therefore you should equate the the left side of each equation to the other left side. The solution is the easiest one to solve because there is only 1 unknown on both sides.

4x - 9 = x - 3                      Subtract x from both sides.

4x-x - 9 = -3                       Combine

3x -9 = - 3                          Add 9 to both sides

3x - 9+9 = - 3+9

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3x/3 = 6/3

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===============

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y = x - 3

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==============

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7 0
2 years ago
Right isosceles ΔA B C has hypotenuse length h . DE is a midsegment with length 4 x that is not parallel to the hypotenuse. What
Kruka [31]

The perimeter of right isosceles ΔABC with midsegment DE is 16 + 8√2.

If right isosceles ΔABC has hypotenuse length h, then the two other sides are congruent.

side a = side b

Using Pythagorean theorem, c^2 = a^2 + b^2

h^2 = a^2 + b^2      a = b

h^2 = 2a^2

a = h/√2

If DE is a midsegment not parallel to the hypotenuse, then it is a segment that connects the midpoints of one side of a triangle and the hypotenuse. See photo for reference.

ΔABC and ΔADE are similar triangles.

a : b : h = a/2 : 4 : h/2

If a/2 = a/2, then b/2 = 4.

b/2 = 4

b = 8

If a = b, then a = 8.

If a = h/√2, then

8 = h/√2

h = 8√2

Solving for the perimeter,

P = a + b + h

P = 8 + 8 + 8√2

P = 16 + 8√2

P = 27.3137085

To learn more about midsegment: brainly.com/question/7423948

#SPJ4

5 0
1 year ago
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