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solmaris [256]
4 years ago
5

Evaluate the expression: v ⋅ w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>

Mathematics
1 answer:
anyanavicka [17]4 years ago
8 0
The dot product is a scalar that is the sum of the product of the corresponding components.
For example,
<x1,y1,z1>.<x2,y2,z2> = x1x2+y1y2+z1z2  (scalar).

For v<6,7,-3> and w<-7,5,2>
we have
v.w=<6,7,-3>.<-7,5,2>=6(-7)+7(5)+(-3)(2)=-42+35-6=-13
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What is an equation for the line that passes through the coordinates (2, 0) and (0, 3)?
alexdok [17]
Answer:
Not sure if this is correct but I hope this helps :)

8 0
3 years ago
Haaaalppppppppppppppppp
Marizza181 [45]

Answer:

50-2.5t=w. no, the water will all have drained by then.

Step-by-step explanation:

2.5 per min so

min=t

therefore 2.5t

theres 50 quarts of water

50-2.5t = w (water left in the tank)

_____________________________________-

part 2,

2.5*30 = 75, and 50<75

this is impossible.

7 0
4 years ago
On a number line what is the distance between -12 and 20
djverab [1.8K]

Answer:

The distance is 32

Step-by-step explanation:

One way is to subtract -12 and 20, which equals 32.

Another way is to add 12 and 20 since distance on a number line is always positive, which equals 32.

7 0
4 years ago
Read 2 more answers
Y=2x+9 y=4x-9 Solve the system of equations.
Deffense [45]

Answer:

Your solution is (9, 27) or x = 9, y = 27

Step-by-step explanation:

y = 2x + 9

y = 4x - 9

We can see that both of these equations equal y, so we can set them equal to each other.

2x + 9 = 4x - 9

Add 9 to both sides.

2x + 18 = 4x

Subtract 2x from both sides.

18 = 2x

Divide both sides by 2.

9 = x

Now we want to find y. To do this, plug x = 9 back into one of the original equations.

y = 2(9) + 9

Multiply.

y = 18 + 9

Add.

y = 27

Your solution is (9, 27)

Check your answer by plugging x = 9 and y = 27 back into the original equations.

y = 2x + 9

27 = 2(9) + 9

27 = 18 + 9

27 = 27

y = 4x - 9

27 = 4(9) - 9

27 = 36 - 9

27 = 27

Your answer is correct.

Hope this helps!

3 0
3 years ago
Read 2 more answers
I need help ASAP please
Brilliant_brown [7]

Answer:

28 cm

Step-by-step explanation:

The formula for the area of a triangle is 1/2bh

Here we have 1/2 (14)(4)

That comes to 28 cm

5 0
4 years ago
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