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anygoal [31]
3 years ago
6

What is the solution to the compound inequality? -8< 2x-4<2

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

Answer:

–2 < x < 3

Step-by-step explanation:

–8 < 2x – 4 < 2

Add 4 to all parts:

–8 + 4 < 2x – 4 + 4 < 2 + 4

Simplify:

–4 < 2x < 6

Divide all parts by 2:

(–4 ÷ 2) < (2x ÷ 2) < (6 ÷ 2)

Simplify:

–2 < x < 3

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Vanessa draws one side of equilateral ΔABC on the coordinate plane at points A(–2, 1) and B(4,1). Select all the possible coordi
Radda [10]

(1, \sqrt{27})  and (1, - \sqrt{27})

Step-by-step explanation:

Step 1 :

The co ordinates of the given equilateral triangle are A(-2,1) and B(4,1)

The distance between these 2 points is the length of the given triangle

Distance between the 2 points is  \sqrt{(x2-x1)^{2}+ (y2-y1)^{2}} = sqrt (sq(4-(-2)) + sq(1-1)) = 6

Hence the given triangle has 3 equal side of length 6 unit.

Step 2:

The length of the other side should be 6. Let (x,y) be the co-ordinate of the point C

We have then x = 1 (because the perpendicular from C to AB bisects AB we have the point C to have the x co-ordinate as 1)

Also we have the distance between the point B(4,1) and C(1,y) to be 6 as this is an equilateral triangle

Hence \sqrt{(4-1)^{2} + (1-y)^{2 } = 6

=> 9 + 1 + y^{2} -2 y = 6

=> y^{2}-2 y - 26 = 0

=> y = 2± sqrt(4+104) / 2 = 1 ± sqrt(27)

Hence the possible co ordinates of C are (1, \sqrt{27})  and (1, - \sqrt{27})

3 0
4 years ago
Hi, can someone help with this 8th grade math question?
Norma-Jean [14]
They multiplied 3 by itself 4 times, so it’s 3^4
3 0
3 years ago
Need to know soon! please help​
Inga [223]

Answer:

59

Step-by-step explanation:

62+59= 121

180-121= 59

3 0
3 years ago
Read 2 more answers
Explain how to convert 6 feet into meters.
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3 years ago
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7. A large population of ALOHA users manages to generate 60 requests/s, including originals and retransmissions. Time is slotted
Debora [2.8K]

Answer:

P(success at first attempt) = 0.1353

Step-by-step explanation:

This question follows poisson distribution. Thus, the formula is;

P(k) = (e^(-G) × (G)k)/k!

where;

G is number of frames generated in one frame transmission time(or frame slot time)

Let's find G.

To do this, we need to find number of frames generated in 1 slot time which is given as 50 ms.

Now, in 1000 ms, the number of frames generated = 50

Thus; number of frames generated in 50 ms is;

G = (50/1000) × 50

G = 2.5

To find the chance of success on the first attempt will be given by;

P(success at first attempt) = P(0) = e^(-G) = e^(-2) = 0.1353

8 0
3 years ago
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