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Nonamiya [84]
3 years ago
12

You started on a bike trip, riding at a rate of 9 miles per hour. Your friend left one hour later and rode at the rate of 12 mil

es per hour. How long did it take your friend to catch up with you?
Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0
<span>You're 9 miles ahead when the 2nd bike starts.
His speed wrt you is 3 mph (12-9).
9/3 = 3 hours
I hope i helped you
</span>
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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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3 years ago
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Which of the following is an equation of the line that crosses through (-3,4) and (3,6)?
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Answer:

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m=((y2-y1)/(x2-x1)) = (6-4)/(3+3)= 2/6= (1/3)

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Step 6: x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}

Step-by-step explanation:

Given:

Quadratic Equation is

x² + 4x - 6 = 0

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x = ?

Solution:

Step 1: x2 + 4x = 6

Step 2: x2 + 4x + 4 = 6 + 4

Step 3: (x + 2)2 = 10

Step 4: (x+2)=\pm \sqrt{10}

Step 5: x=-2\pm \sqrt{10}

Step 6: x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}

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