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mariarad [96]
3 years ago
9

Venus's orbital distance from the Sun is 0.72 AU. How long does it take for Venus to complete one orbit around the Sun, compared

to Earth?
Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

224.7 days

Step-by-step explanation:

Venus is the second planet out of the nine planets and it precedes the planet earth. Venus has an orbital distance of 0.72 AU from the sun while Earth has an orbital distance of 149.60 million km from the sun. Due to these distances, the Venus completes one orbit around the sun in 224.7 days while the Earth complete one orbit around the sun in 365.256 days but in a leap year, it completes one orbit around the sun in 366 days.

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When factorising a quadratic trinomial of the form ax^2 + bx + c, we need to find two numbers which ???? (see image for options)
kupik [55]

Answer: Choice E

multiply to give a*c and add to get b

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

This is known as the AC factoring method based on how you multiply the first and last coefficients (a and c) and use that product to figure out which factors add to the middle coefficient.

---------

An example:

6x^2 + 35x + 50

We have a = 6, b = 35, c = 50

Multiply a and c and we get: a*c = 6*50 = 300

We need to find factors of 300 that pair up and add to 35

Through trial and error you should find,

15 * 20 = 300

15 + 20 = 35

The two numbers are therefore 15 and 20.

So we break 35x into 15x+20x and use the factor by grouping method

6x^2 + 35x + 50

6x^2 + 15x + 20x + 50

(6x^2 + 15x) + (20x + 50)

3x(2x + 5) + 10(2x + 5)

(3x + 10)(2x + 5)

We see that 6x^2 + 35x + 50 factors to (3x + 10)(2x + 5)

Use the FOIL method or the box method or distribution to help see that (3x + 10)(2x + 5) expands back to 6x^2 + 35x + 50.

3 0
3 years ago
The selling price for a classic car is $12,000, which is $500 less than two times its original price. What was the original pric
Rashid [163]

Answer:$6250

Step-by-step explanation:

selling price(sp)=12000

Original price(op)=?

sp+500=2 x op

12000+500=2 x op

12500=2 x op

Divide both sides by 2

12500/2=(2 x op)/2

6250=op

Therefore original price is $6250

6 0
3 years ago
What is the greatest common factor of 12xy2z and 8x2y?
Salsk061 [2.6K]

Answer:

GCF = 2xy =  2 \times x \times y

Step-by-step explanation:

12xy {}^{2} z  = 2 \times 2 \times 3 \times x  \times y \times y \times z \\  \\  8x {}^{2} y = 2 \times 2 \times 2 \times x \times x \times y

GCF = 2xy =  2 \times x \times y

5 0
3 years ago
Please help asap 30 pts
earnstyle [38]
The answer is the fourth box so 3a-11>7
8 0
4 years ago
Read 2 more answers
Mr. Suarez orders a cube of clay for his art class. The height of the cube is 12 inches. Write and simplify an exponential expre
kotegsom [21]

Answer:

1728 inches Total

Step-by-step explanation:

Cubes have the same height width and depth therefore the Question is 12 X 12 X 12, 12 X 12 = 144 X 12 = 1728.

4 0
3 years ago
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