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alekssr [168]
3 years ago
8

If vector u = <-3.5, -1.5> and vector v = <-1.25, 2.25>, which graph shows the resulting vector for 2v − u?

Mathematics
1 answer:
Sedaia [141]3 years ago
8 0

Answer:

D

Step-by-step explanation:

We know that vector addition is scalar addition.

Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>

2v = < -2.5, 4.5>

2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >

2v-u = < 1 , 6 >

This vector is basically i + 6j which is drawn in option D

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The city of new orleans leaves union station in chicago at 6:00 am and travels south to new orleans. the train travels the 930.0
Naddik [55]
Answer: 460.6 miles South of Chicago

Explanation:

1) <span>The City of New Orleans leaves Union Station in Chicago at 6:00 am and travels south to New Orleans. The train travels the 930.0 miles to New Orleans at an average speed of 79.0 miles per hour.

Scheme:


 →to south                                                    ←to north
                |----------------------|---------------------|
               A          x             X      930.0 - x    B
            6:00 am                                          6:00 am
           →                                                      ←
           v = 79.0 mi/h                                     v = 81.1 mi/h


=> x = 79.0 mi/h * t

2) at the same time the City of Chicago leaves New Orleans and travels north to Nhicago. The train travels the 930.0 miles to Chicago at an average speed of 81.1 miles per hour.

930.0 - x = 81.1 mi/h * t

3) How many miles south of chicago do the two trains pass each other?

Divide the two equations:

930.0 - x         81.1*t
------------- =   ----------
      x                 79*t

t cancels out =>

930.0 - x         81.1
------------- =   --------
     x                 79.0

Solve:

81.1x = 79.0(930.0 - x)

81.1x = 79.0 * 930.0 - 79.0x

81.1x + 79.0x = 73,470

=> 160.1x = 73,470

=> x = 73,470 / 160.1

=> x = 460.6 mi

4) Answer 460.6 miles South of Chicago.
</span>
7 0
2 years ago
Dakota has four tents kilogram of clay he divided the clay to make eight equal size pots how many grams of clay are in each pot
sukhopar [10]
Answer:
There are 2.22 grams of clay are in each pot.
Step-by-step explanation:
Given:
Dakota has 4/10 kg of clay. He divides the clay to make 888 equal-sized pots.
Now, to find the number of grams of clay are in each pot.
Dakota has clay =
So, by using conversion factor we convert it into grams:

Quantity of clay he has = 400 grams.
Number of equal-sized pots to make = 888.
Now, to get the quantity of grams of clay are in each pot we divide number of equal-sized pots to make by quantity of clay he has:
Therefore, there are 2.22 grams of clay are in each pot.
5 0
3 years ago
Name each polynomial by degree and number of terms of -7
denis-greek [22]

Answer: i couldn’t find the answer to this one either

Step-by-step explanation:

4 0
2 years ago
A spinner is divided into 10 congruent sections, numbered 1 through 10. If Cleo spins the spinner once, what is the probability
mario62 [17]

Answer:

20% or 1/5 or 0.2

Step-by-step explanation:

1. There are 10 sections, which means <em>each section has a a chance of 10% to be landed on</em>.

2. There are <em>two multiples of four under 10: 4 and 8</em>.

That means there is a <em>2 * 10%</em> = 20% chance that the spinner will land on a multiple of 4.

7 0
3 years ago
H(x) = 4x - 2; Find h(a+b)
mart [117]

Answer:

4a + 4b - 2

Step-by-step explanation:

To evaluate h(a + b) , substitute x = a + b into h(x), that is

h(a + b) = 4(a + b) - 2 = 4a + 4b - 2

4 0
2 years ago
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