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navik [9.2K]
3 years ago
5

Which of the following is the solution to the compound inequality

Mathematics
1 answer:
mote1985 [20]3 years ago
4 0

3x+5\geq-1\ \ \ |-5\\\\3x\geq-6\ \ \ |:3\\\\x\geq-2\\------------------\\-2x-7\geq5\ \ \ |+7\\\\-2x\geq12\ \ \ \ |:(-2) < 0\\\\x\leq-6

Answer:\ A.\ x\geq-2\ or\ x\leq-6

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M(4,2) is the midpoint of RS. The coordinates of S are (6, 1). what are the coordinates of R?
nirvana33 [79]
Remark
You are using the midpoint formula. Instead of finding the midpoint, you are looking for one of the points, so you have to rearrange the formula a little bit.

Givens
Midpoint (4,2)
One endpoint (6,1)

Object
Find the other endpoint.

Formula
m(x,y) = (x1 + x2)/2, (y1 + y2)/2)

Solution
Find the x value
4 = (6 + x2)/2    Multiply both sides by 2
4*2 = 6 + x2      Subtract 6 from both sides.
8 - 6 = x2
x2 = 2

Find the y value
2 = (1 + y2)/2    Multiply by 2
4 = 1 + y2          Subtract 1 from both sides.
4 - 1 = y2  
y2 = 3

Conclusion
R(x,y) = (2,3)

8 0
3 years ago
Solve the following equation by completing the square: 2x^2 – 2x – 4 = 0
Rus_ich [418]

Answer:

the answer is B

Step-by-step explanation:

6 0
3 years ago
Find the pattern. What numbers come next?
insens350 [35]
53,61,69

it’s adding 8 every time.
5 0
3 years ago
4) A safe contains 120 coins, the value of which is $10. If the coins consist of nickels and dimes, how many of each kind are in
Sergio [31]
120=x+y and 10=.05x+.10y
120-x=y then subsitute 10=.05x+.10(120-x) distruibte and solve you can do it feel free to go off of my math.
x(nickels) y(dimes)

3 0
3 years ago
Triangle fgh is inscribed in circle o the length of radius oh is 6 and fh is congruent to og. what is the area of the sector for
Vilka [71]
Given :
<span>Triangle fgh is inscribed in circle o
</span>
oh = 6 = radius of the circle 
<span>∵ fh is congruent to og
</span>
<span>∴ fh = og = radius og the circle = 6
</span>
<span>∵ of = radius of the circle = 6
</span>
<span>∴ oh = fh = of = radius of the circle = 6
</span>
∴ Δ foh is Equilateral Triangle

<span> </span>∴∠ foh = 60° ⇒⇒⇒ property of <span>the equilateral Triangle
</span>
∵ total area of the circle = π r²  and total central angle of the circle = 360°
∴ Area of sector foh = (60°/360°) * π r²
∴ Area of sector foh = (60°/360°) * π * 6² ≈ 18.85

The answer is:

<span>the area of the sector formed by angle foh  = 18.85</span>
4 0
3 years ago
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