3 years ago

Help! from usa test prep.

Mathematics

1 answer:

kipiarov [429]3 years ago

3 0

Answer:

5 units

Step-by-step explanation:

If you look at AC that has 4 units and DE is close to 4 units but a little bigger by a unit

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Compute a · (b ✕ c), where a = i − 3j + k, b = 4i + j + k and c = 9i − j + 3k.

grandymaker [24]

$\mathbf a=\mathbf i-3\,\mathbf j+\mathbf k$
$\mathbf b=4\,\mathbf i+\mathbf j+\mathbf k$
$\mathbf c=9\,\mathbf i-\mathbf j+3\,\mathbf k$

$\mathbf b\times\mathbf c=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\4&1&1\\9&-1&3\end{vmatrix}=4\,\mathbf i-3\,\mathbf j-13\,\mathbf k$

$\mathbf a\cdot(\mathbf b\times\mathbf c)=(\mathbf i-3\,\mathbf j+\mathbf k)\cdot(2\,\mathbf i-3\,\mathbf j-13\,\mathbf k)=4+(-3)^2-13=0$

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3 years ago

Use y=2.5x+65 to find x when y=75

uranmaximum [27]

Answer:

The value of x is 4

Step-by-step explanation:

y = 2.5x + 65; y = 75

Now, Substitute

y = 2.5x + 65

75 = 2.5x + 65

75 – 65= 2.5x + 65 – 65

10 = 2.5x

2.5x = 10

2.5x/2.5 = 10/2.5

x = 4

Thus, The value of x is 4

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2 years ago

How do i find the average speed for his question: "A bicycle racer rides from a starting marker at 10m/s. She then rides back al

padilas [110]

To find the average speed for the whole race, you just have to add the speed from a starting marker and the speed from the turnaround marker going back and divide it by 2 since there are only two speeds involved.

10 m/s + 16m/s = 26 m/s / 2 = 13 m/s

Therefore, the average speed for the whole race is 13 m/s.

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3 years ago

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Point A is at 12, and point D is at 56. Point C is midway between A and D and point B is midway between A and C Which of these i

ziro4ka [17]

I would say 6 because it's midway between 12

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2 years ago

Which number is composite? 5 11 9 2

Dmitrij [34]

Answer:

9 and 2

Step-by-step explanation:

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