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Lady_Fox [76]
3 years ago
8

Find a ⋅ b. a = <5, 2>, b = <4, 5>

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer:

  30

Step-by-step explanation:

For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...

  a·b = (xa)(xb) + (ya)(yb)

Substituting the given information, you have ...

  a·b = 5·4 + 2·5 = 20 + 10

  a·b = 30

_____

Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.

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Write an algorithm to solve the problem with long division. Answer in at least 3 complete sentences.​
Tamiku [17]

Answer:

1) Divide; 2) Multiply; 3) Subtract; 4) Drop down the next digit. Of these steps, #2 and #3 can become difficult and confusing to students

Step-by-step explanation:

7 0
3 years ago
220 students were asked if they liked chocolate or vanilla ice cream. 140 said they liked chocolate and 120 said they liked vani
Flura [38]

Answer: D. 40

Step-by-step explanation:

Given: Number of students liked vanilla or chocolate ice cream =n(V\cup C)=220

Number of students liked chocolate =n(C)=140

Number of students liked vanilla=n(V)=120

Now,  Number of students liked vanilla and chocolate ice cream is given by :-

n(V\cap C)=n(C)+n(V)-n(V\cup C)\\\\\Rightarrown(V\cap C)=140+120-220\\\\\Rightarrown(V\cap C)=260-220\\\\\Rightarrown(V\cap C)=40

Number of students liked vanilla and chocolate ice cream= 40

6 0
4 years ago
1. Define: Capacity
xeze [42]

1. C) The amount that something can hold.  Usually means volume, such as milliliters (ml) or liters (l) in Metric, or pints or gallons in Imperial.

It is the amount something can hold.

3 0
3 years ago
Read 2 more answers
Is it true 4 and -4 have a sum of 0
mafiozo [28]

Answer:

Yes, 4 + -4 = 0.

Think of it like a number line: The number four is 4 units to the right of the center which is 0, and the number negative four is 4 units to the left of the center. When you add them together, those distances cancel out, and you just get 0.

3 0
3 years ago
A) Simplify<br> X-2<br> 7(x - 2)2
STatiana [176]

Answer:

7x^2 -28x +28

Step-by-step explanation:

7(x - 2)^2

7 ( x-2)(x-2)

Foil

7 ( x^2 -2x-2x+4)

Combine like terms

7( x^2 -4x+4)

Distribute

7x^2 -28x +28

6 0
3 years ago
Read 2 more answers
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