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siniylev [52]
3 years ago
12

Find a + b, 2a + 3b, |a|, and |a − b|. a = 5i + j, b = i − 3j

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0
A+b = (5i + j) + (i - 3j) = 6i - 2j
2a + 3b = 2(5i + j) + 3(i - 3j) = 10i + 2j + 3i - 9j = 13i - 7j
|a| = sqrt((5^2)+(1^2)) = sqrt(26)
|a-b| = |(5i+j) - (i-3j)| = |4i+4j| = sqrt((4^2)+(4^2)) = sqrt(32)
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Selena buys 4 peaches that weigh 1 pound in all. Each peach weigh the same amount. Peaches are on sale for $2.24 per pound. Writ
DENIUS [597]

Answer:

The required equation is

4p = 2.24

And p = 0.56  [ where p is in $]

Step-by-step explanation:

Given that Selena buys 4 peaches that weight 1 pound in all.

Peaches are on sale for $2.24 per pound.

Since the total weight of peaches is 1 pound.

So the price of 4 peaches is $2.24.

Let p be the price of 1 peaches.

Then the price of 4 peaches is $(4×p)

                                                  = $4p

According to the problem,

4p = 2.24

\Rightarrow p=\frac{2.24}{4}

⇒p=0.56      [ where p is in $]

The required equation is

4p = 2.24

And p = 0.56  [ where p is in $]

8 0
3 years ago
3 (x-5) =5<br> what is x?
azamat

Answer: 20/3

So when solving this equation first distribute our 3,we will now have   3x-15=5.

Next we will Add 15 to both sides of our equation. Now we have 3x=20.Then divide our terms,and you will have 3x/3 = 20/3

<u>This will leave you with  1x=20/3. </u>

So the X is 20/3.

      Hope that helped!

8 0
3 years ago
A rectangle has a perimeter 66 cm and length 24 cm what is its width
Elenna [48]
I think the answer is 2.75. I divided 66 and 24.
Hope this helps! Let me know if I'm right but um bad at math lol...
4 0
3 years ago
The standard form of the equation of a parabola is y= x2 - 8x + 29.
fomenos

Answer:

A

Step-by-step explanation:

Put brackets around the first two tems.

y = (x^2 - 8x) + 29

Take 1/2 coefficient of the linear term -8. Square that result. Add it inside the brackets.

1/2 (- 8) = - 4

(- 4)^2 = 16

y = (x^2 - 8x + 16) + 29

Subtract 16 outside the brackets.

y = (x^2 - 8x + 16) + 29 - 16  

Do the subtraction

y = (x^2 - 8x + 16) + 13

Represent what is inside the brackets as a square.

y = ( x - 4)^2 + 13

The answer is A

7 0
3 years ago
Which graph represents the inequality y&gt;1-3x
slava [35]

Answer:

b............ .......... which one is a b c d

For this case we must indicate the graph of the following inequality:

y≥1−3x

It is observed that inequality includes equality, so the boundary line of the graph will not be dotted, so we discard options D and C.

We test option A, we substitute the point (0,0) in the inequality, if it is fulfilled then the graph corresponds to it.

We test option A, we substitute the point (0,0) in the inequality, if it is fulfilled then the graph corresponds to it.

It is not fulfilled

We test the last option B, we choose the point (3,1) that belongs to the graph:

1≥1−3(3)

\1≥1−9

1≥−8

it is fulfilled

5 0
3 years ago
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