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uysha [10]
3 years ago
12

Find the magnitude of a vector with initial point A(3, 4, 10) and terminal point B(8, 4, –2).

Mathematics
1 answer:
Fantom [35]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Use the distance formula in 3 dimensions

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2      }

with (x₁, y₁, z₁ ) = (3, 4, 10) and (x₂, y₂, z₂ ) = (8, 4, - 2)

d = \sqrt{(8-3)^2+(4-4)^2+(-2-10)^2}

   = \sqrt{5^2+0^2+(-12)^2}

    = \sqrt{25+144}

    = \sqrt{169}

     = 13 → B

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Which function represents the graph
natulia [17]

Answer:

A

Step-by-step explanation:

the function is moved up by 8 on the y axis which means you need a +8 that isn't directly attached to the x

4 0
2 years ago
A recipe includes 8 cups of flour and 2/3 third cups of sugar right the ratio of the amount of flour to the amount of sugar as a
Art [367]
 Its 8:2/3, we can write it as \frac{8}{ \frac{2}{3} } =8 *\frac{3}{2} = \frac{8*3}{2} = \frac{24}{2}= \frac{12}{1}
Now we can back to 12:1 - its the result
5 0
3 years ago
there are about 1.5 grams of fat in 1 tablespoon of hummus.how many grams of fat are in 2 1/2 cups of hummus. (16 tablesspoons=1
FrozenT [24]
Umm...60 grams.
1.5 grams is equal to 1 tablespoon of hummus.
Since 16 tablespoons are in a cup, you'd have to multiply the 1.5 grams per tablespoon by 16 to find the amount of fat in grams are in a cup.
You'll get 24 grams as an answer.
Since you're trying to find the amount of grams in 2.5 (2 1/2) cups of hummus, you just multiply 24 by 2.5 to get the overall answer of <u>60 grams.</u><u />
6 0
3 years ago
Five times the result of adding one to a certain number, is equal to four times the number, plus three. Find the number
Galina-37 [17]

Answer:

The number is -2

Step-by-step explanation:

Let the number = x

Given that:

Five times the result of adding one to a certain number, is equal to four times the number, plus three.

The equation will be:

5(x+1) = 4x +3

Simplifying

5x + 5 = 4x +3

Taking terms with x on left side and others on right side

5x - 4x = 3 - 5   (sign of transferred terms will be changed)

x = -2

Proof :

Condition 1:

  • number = -2                                  
  • Add one = -2 +1 = -1
  • Multiply 5 = -5

Condition 2:

  • 4 times  of number = 4 (-2) = -8
  • Add 3 = -8 +3 = -5

Hence both conditions have same answer.

I hope it will help you!

5 0
2 years ago
Please help!!<br> 6(k+6) = 84
miss Akunina [59]

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

k = 8

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

4 0
3 years ago
Read 2 more answers
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