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3 years ago

Select the ordered pairs that are solutions to the inequality 2x-3y greater than or less than 2

1 answer:

3 0

The inequality simplifies to the inequalities: 2x-3y>2 or 2x-3y<2. These inequalities have an infinite number of solutions, as every ordered pair except for those on the line y=2/3x-2/3 satisfy it.

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1 . a plane flies 120 km on a bearing of 045° and then flies 150 km due east . how far east of the starting point is the plane?

sergejj [24]

Answer:

1.Assuming that your teacher is not an ars. ewith trick questions who wants you to solve this on an arbitrary point on a spherical surface:

2.The bearing of x from y is 070 and the bearing of z from y is 160, where x, y, and z are three points in the plane .if y is equidistant from x and z, find the bearing of z from x

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2 years ago

Find the coordinates of the circumcenter of △PQR with vertices P(−2,5), Q(4,1), and R(−2,−3).

mel-nik [20]

Answer: (1/3,2)

Step-by-step explanation:

Let O(x,y) be the circumference of the triangle PQR,

Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.

Thus, PO = QO

By the distance formula,

$(x+2)^2+(y-5)^2 = (x-4)^2+(y-1)^2$

$\impliesx^2+ 4x + 4 + y^2+ 25 - 10 y = x^2+16 - 8 x + y^2+1 - 2y$

$\implies 4x + 4 + 25 - 10 y = 16 - 8 x + 1 - 2y$

$\implies 4x +8x-10y+2y = 16 + 1 -25-4$

$\implies 12x - 8y = 17 - 29$

$\implies 12 x - 8 y = - 12$ ---------(1)

Similarly, QO = RO

$\implies (x-4)^2 + (y-1)^2 = (x+2)^2+(y+3)^2$

$\implies x^2 + 16 - 8x + y^2+ 1 - 2y = x^2+ 4 + 4 x +y^2+ 9 + 6 y$

$\implies 16 - 8x + 1 - 2y = 4 + 4 x + 9 + 6 y$

$\implies - 8x -4x-2y-6y=4+9-16-1$

$\implies -12 x - 8 y = 13 - 17$

$\implies 12 x + 8 y = 4$ ------------(2)

By adding equation (1) and (2),

24 x = - 8

x = 1/3

By putting this value in equation (1),

We get,

Thus, 4 - 8 y = -12

8 y = 16

y = 2

7 0

2 years ago

25A) Find the length of a rectangular lot with a perimeter of 132 feet if the

Greeley [361]

Answer:

34.5 ft

Step-by-step explanation:

~Refer to the attachment for the solution.

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2 years ago

What’s the fraction of 65 percent

Shtirlitz [24]

65% as a fraction is 65/100 which can also be reduced to 13/20

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3 years ago

Find the 92nd term of the arithmetic sequence 11, 19, 27, ...

arlik [135]

Answer:

The 92nd term of the arithmetic sequence is 731 because the common difference between them is 8 and then I added 8 with every single number that I got and I continued adding until I get my 92nd term which is 731.

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3 years ago