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4 years ago

Let u = <-6, -2>, v = <-2, 3>. Find -3u + 2v.

1 answer:

4 0

We have the following vectors:
u = <-6, -2>
v = <-2, 3>
Let's multiply each vector by its corresponding scale:
-3u = <18, 6>
2v = <-4, 6>
Now we add the new vectors:
-3u + 2v = <18, 6> + <- 4, 6>
-3u + 2v = <(18-4), (6 + 6)>
-3u + 2v = <14, 12>
Answer:
-3u + 2v = <14, 12>

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Drew has two cats. One cat weighs 17 pounds, and the other one weighs 1212 pounds. Audrey's dog weighs 33 pounds. What is the di

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Step-by-step explanation:

Given:

Drew has two cats.

One cat weighs 17 pounds.

The other one weighs 12 pounds. (instead of 1212 pounds)

Audrey's dog weighs 33 pounds.

Question asked:

What is the difference in ounces between Audrey's dog and the combined weights of Drew's cats ?

Solution:

For Drew

Weight of one cat = 17 pounds

Weight of another cat = 12 pounds

Combined weight = 17 pounds + 12 pounds = 29 pounds

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As we know:

1 pound = 16 ounces

29 pounds = 16 $\times$ 29 = 464 ounces

For Audrey

Weight of dog = 33 pounds

Now, convert it into ounces:-

1 pound = 16 ounces

33 pounds = 16 $\times$ 33 = 528 ounces

Combined weight of Drew's cats = 464 ounces

Weight of Audrey's dog = 528 ounces

Difference = 528 ounces - 464 ounces = 64 ounces

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