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Helen [10]
2 years ago
6

Compute $121_3+2122_3-1200_3-2111_3$. Express your answer in base 3.

Mathematics
1 answer:
vfiekz [6]2 years ago
3 0

Answer:

-221 base 3

Step-by-step explanation:

We are to calculate the value of the numbers in base 3. One of the ways to do that is to first convert each number to base 10. Do the arithmetic, then convert back to base 3.

121 base 3 +2122 base 3 - 1200 base 3 - 2111 base 3

Let's convert to base10

See attachment for details

From the workings,

121 base 3 + 2122 base 3 - 1200 base 3 - 2111 base 3 = -221 base 3

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What is formed when two complementary angles share one ray?
aleksklad [387]

Answer:

B.

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5 0
2 years ago
With a short time remaining in the​ day, a delivery driver has time to make deliveries at 4 locations among the 7 locations rema
omeli [17]

Answer:

35 different routes

Step-by-step explanation:

The problem of how many different routes are possible if a driver wants to make deliveries at 4 locations among 7 locations is a combination problem.

Combination problems are usually selection problems, of all or part of a set of options, without considering the order in which options are selected.

The number of combinations of n objects taken r at a time is: ⁿCᵣ

So, the number of ways the driver can make deliveries at 4 locations out of 7 locations of given by

⁷C₄ = 35 different ways.

Hence, 35 different routes are possible to make deliveries at 4 locations out of 7 locations.

Hope this Helps!!!

3 0
3 years ago
Please help and explain why you got it right please
gtnhenbr [62]

Answer:

y+7 = -3 ( x-4)

Step-by-step explanation:

First find two points on the graph to find the slope

( 1,2) and ( 3,-4)

The slope is given by

m = ( y2-y1)/(x2-x1)

m = ( -4-2)/(3-1)

    = -6/2

    =-3

We can use the point slope form

y - y1 = m(x-x1)  where m is the slope and x1,y1 is a point on the line

We have two choices with a slope of -3

We can either use and x coordinate of -2 or 4

for  -2, the y coordinate is not shown

for 4 , the y coordinate is -7

Using ( 4, -7) and m = -3

y--7 = -3( x- 4)

y+7 = -3 ( x-4)

4 0
2 years ago
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5 0
2 years ago
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Write an inequality to represent the graph.
Westkost [7]

Answer:

y ≥ −4x − 2

Step-by-step explanation:

8 0
3 years ago
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