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ddd [48]
3 years ago
12

-9x-3y=-18 -3x+y=4 solve the system of equation

Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0
Answer would be x = 1/3 and y = 5
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Find the magnitude of WX for W(-2, 8, -3) and X(1, 4, -1)
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The magnitude of WX is  \sqrt{29}  ⇒ c

Step-by-step explanation:

The magnitude of XY (its length) where,

  • X=(x_{1},y_{1},z_{1})
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is IXYI = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}+(z_{2}-z_{1})^{2}}

∵ W = (-2 , 8 , -3)

∵ X = (1 , 4 , -1)

- To find the magnitude of WX use the formula above

∴ x_{1} = -2 and x_{2} = 1

∴ y_{1} = 8 and y_{2} = 4

∴ z_{1} = -3 and z_{2] = -1

- Substitute these values in the rule above

∵ IWXI = \sqrt{(1--2)^{2}+(4-8)^{2}+(-1--3)^{2}}=\sqrt{9+16+4}

∴ IWXI = \sqrt{29}

The magnitude of WX is  \sqrt{29}

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The length of a side of a triangle is between the sum and the difference of the lengths of the other two sides.

First, we need both sides in the same units. Let's convert feet to inches.

2 ft * (12 in.)/(ft) = 24 in.

The sides measure 24 inches and 40 inches.

Now we add and subtract the two lengths.

40 in. + 24 in. = 64 in.

40 in. - 24 in. = 16 in.

The length of the third side is between 16 inches and 64 inches.

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