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2 years ago

Evaluate each expression. 9. ⎪31⎥ + ⎪–5⎥10. ⎪–16⎥ – ⎪4⎥ 11. ⎪–28⎥ – ⎪–1⎥12. ⎪11–2⎥ 13. ⎪44⎥ + ⎪–34⎥14. ⎪–101⎥ – ⎪–1⎥

Mathematics

1 answer:

romanna [79]2 years ago

6 0

Answer:

Step-by-step explanation:

9. 31 + 5 = 36

10. 16 - 4 = 12

11. 28 - 1 = 27

12. 9

13. 34 + 44 = 78

14. 101 - 1 = 100

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Determine whether the following lines represented by the vector equations below intersect, are parallel, are skew, or are identi

KiRa [710]

Answer:

r(t) and s(t) are parallel.

Step-by-step explanation:

Given that :

the lines represented by the vector equations are:

r(t)=⟨1−t,3+2t,−3t⟩

s(t)=⟨2t,−3−4t,3+6t⟩

The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.

NOTE:

Two lines will be parallel if $\dfrac{x_1}{x_2}= \dfrac{y_1}{y_2}= \dfrac{z_1}{z_2}$

here;

$d_1 = (-1, \ 2, \ -3)$

Thus;

$r(t) = \dfrac{x-1}{-1} = \dfrac{y-3}{2}=\dfrac{z-0}{-3} = t$

$d_2 =(2, \ -4, \ +6)$

$s(t) = \dfrac{x-0}{2} = \dfrac{y+5}{-4}=\dfrac{z-3}{6} = t$

∴

$\dfrac{d_1}{d_2}= \dfrac{-1}{2} = \dfrac{2}{-4}= \dfrac{-3}{-6}$

Hence, we can conclude that r(t) and s(t) are parallel.

6 0

2 years ago

Select the correct answer,

Inessa05 [86]

Answer:

B. It is too risky to use credit cards online, and online payment services have better security because of the increasing number of hackers that may steal money from your bank account.

Step-by-step explanation:

7 0

3 years ago

The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?

PtichkaEL [24]

The volume of a cylinder with a radius r and a height h:

$V_1=\pi r^2h$

The volume of a cone with a radius r and a height h:

$V_2=\dfrac{1}{3}\pi r^2h$

Therefore

$V_2=\dfrac{1}{3}V_1$

We have $V_1=32.25\ in^3$

Substitute:

$V_2=\dfrac{1}{3}\cdot32.25=10.75\ in^3$

Answer: The volume of a cone is equal 10.75 in³

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3 years ago

A jet travels 560 miles in 5 hours. At this rate, how far could the jet fly in 9 hours? What is the rate of the speed of the jet

leonid [27]

Answer:

1,008

Step-by-step explanation:

560/5 * x/9

x=1,008

3 0

3 years ago

Read 2 more answers

Please can someone help please

Darya [45]

Answer:

A. 10.2

B.3 √5

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2 years ago