A. if a spacecraft was parked on venus and needed to make a flight to jupiter, how far would it need to travel? show your work and provide your answer in scientific notation.

b. mercury, venus, and earth are the three planets closest to the sun. would their combined distance from the sun be greater or less than the distance from the sun to neptune? show your work and justify your answer.

c. if earth was 10 times farther away from the sun than it is now, which planet would it be closest to? compare earth's new distance to that planet. how far apart would they be in standard notation? how far apart in scientific notation? show your work.

d. the space shuttle travels at about 28,000 km per hour. using that information, estimate how many hours it will take the shuttle to reach saturn from earth. show your work. convert your answer into scientific notation if necessary.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

think the answer would beb

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb