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Dmitry [639]
3 years ago
5

Completely factor and simplify the expression 3x - 9y

Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0
Your answer is 3(x-3y)
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Which situation is best represented by the equation? 35p + 129.50 = 479.50
Ksivusya [100]

Answer:

A

Step-by-step explanation:

this is because we don't know how many trainers she goes to, so the cost will be 35p. and then include the registration fees she pays.

5 0
2 years ago
Find the fifth roots of 243(cos 240° + i sin 240°).
Mazyrski [523]

Answer:

See below.

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336).. (Answer).

7 0
3 years ago
A scale for a scale drawing is 17 cm:1 mm. Which is larger, the actual object or the scale drawing?
Dvinal [7]

9514 1404 393

Answer:

  the scale drawing is larger

Step-by-step explanation:

The scale tells you that ...

  17 cm on the scale drawing represent 1 mm on the actual object.

17 cm is larger than 1 mm, so the scale drawing is larger.

5 0
3 years ago
Mrs. Valdez wanted to determine the number of people, p, she could safely take in her car to the fun run. She determined that p
dolphi86 [110]

Answer:

for the first question b,


it doesn't make sense for choice a to have -2 people in the car. You can't have a negative amount of people. For choice choice c, you can't have half a person, and for choice d, Ms. Valdez can only have under 5 people, not five people exactly.


for the second question I need to see the whole inequality, generally there is a variable, and all i see is <-1, which is invalid.


hope this helps, if it does like it pls!!


Step-by-step explanation:


5 0
2 years ago
Find the midpoint of the line segment joining the points P1 and P2. P1 = (x, 8); P2 = (0, 9)
ipn [44]

Answer:

(x/2 , 17/2)

Step-by-step explanation:

To find a midpoint, you average the x's and average the y's. Average them by adding the x-coordinates and divide by 2. Same with the y's.

The x's are x for P1 and 0 for P2.

x+0 / 2

=x/2

This will be the x-coordinate of the midpoint. Then for the y, use 8 and 9, the y's.

8+9 / 2

= 17/2

This will be the y-coordinate of the midpoint.

The midpoint is:

(x/2 , 17/2)

You could also divide 17/2 and get 8.5 then the midpoint would be:

(x/2 , 8.5)

5 0
2 years ago
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