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2 years ago

Solve this inequality: 14 <-7x

Mathematics

1 answer:

solmaris [256]2 years ago

4 0

Answer:

x > -2

Step-by-step explanation:

14 <-7x

or, 14/-7=-7x/-7

or, -2 < x

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Earth is represented on a map of a portion of the solar system so that its surface is the circle with equation x2+y2+8x+2y−4883=

vodka [1.7K]

Answer:

The general form of the equation for the orbit of the satellite is $x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16$ .

Step-by-step explanation:

From statement we have the general equation of the elliptic form of Earth. First we have to transform this formula to the standard form of the equation of the circle. That is:

1) $x^{2}+y^{2}+8\cdot x +2\cdot y -4883=0$ Given

2) $(x^{2}+8\cdot x)+(y^{2}+2\cdot y) = 4883$ Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

3) $(x^{2}+8\cdot x +16)+(y^{2}+2\cdot y+1)-17=4883$ Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

4) $(x+4)^{2}+(y+1)^{2} = 4900$ Square perfect trinomial/Result

According the result, the center of Earth is $C(x,y) = (4, 1)$ and the square of the radius of Earth equals 4900. That is: $r = 70$

If satellite circles 0.4 unit above Earth, then the equation of the orbit of the satellite is:

$(x+4)^{2}+(y+1)^{2}=70.4^{2}$

$(x+4)^{2}+(y+1)^{2} = 4956.16$

Now we transform this into its general form:

1) $(x+4)^{2}+(y+1)^{2} = 4956.16$ Given

2) $x^{2}+8\cdot x +16+y^{2}+2\cdot y+1 = 4956.16$ Square perfect trinomial

3) $x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16$ Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse/Result

The general form of the equation for the orbit of the satellite is $x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16$ .

6 0

3 years ago

GIVING 50 POINTS AND BRAINALIST FOR DA RIGHT ANSWER >:>Jordan has 300 pieces of candy. He gives Adrian ¼ pieces, 10% was g

wel

Answer:

170 pieces left

Step-by-step explanation:

There are total 300 pieces of candy.

Adrian gets 1/4 of total

Multiply the total number by 1/4, to find the number Adrian gets:

300*1/4 = 75

Darien gets 10% of total.

10% is equal to 10/100 = 1/10. Multiply 300 by 1/10 to get the number Darien gets:

300*1/10 = 30

The little brother gets 25 pieces.

Number of pieces Jordan has given:

75 + 30 + 25 = 130

Number of pieces left:

300 - 130 = 170 pieces

3 0

3 years ago

A coin is flipped 25 times. How many ways can we get exactly 19 heads?

Fittoniya [83]

Answer:

177,100 ways

Step-by-step explanation:

"If you number the flips 1 through 25, then each different combination of 19 heads from the 25 total is considered different. So 25C19 = 25C6 is the number of distinct U Tube videos you could watch to yield your outcome. So it is 177,100 ways."

3 0

2 years ago

For the polynomial below, what is the coefficient of the term with the power of 1 3? x + x4 +6x +5 3

vazorg [7]

Answer:

c.1

Step-by-step explanation:

3 0

3 years ago

Kyle know, that if he tosses a coin, there a 50% probability of seeing it land head up . He tossed a coin in air 30 times and sa

Kobotan [32]

Answer:

4 times, 2/15, 4/30

Step-by-step explanation:

The predicted probability is 15/30.

So, 19/30-15/30 IS 4/30, or 2/15.

8 0

1 year ago