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kykrilka [37]
3 years ago
12

Find the length of QP given Q is the midpoint of XF, PQ =2X+1, XF=7X-4, PF=X

Mathematics
1 answer:
nadezda [96]3 years ago
3 0

Answer:

Therefore the length of QP = 3.4 units

Step-by-step explanation:

Given:

PQ = 2x + 1

XF = 7x - 4

PF = x

Q is the mid poimt of XF

∴ XQ = QF

QF = PQ - PF  ..........( Q - F - P )

     = 2x + 1 - x

∴ QF      = x + 1

∴ XQ = QF = x + 1

TO Find:

QP = ?

Solution:

By Addition Property we have

XP = XQ + QF+PF ..........(X-Q-F-P)\\\\

XF + PF =XQ + QF+PF ..........(X-Q-F-P)\\

Substituting the given values in above equation we get

(7x - 4) + x = (x +1) + (x +1) + x

8x -4 = 3x +2

8x - 3x + 4 + 2

5x = 6

∴ x = \frac{6}{5}

Now we require

QP = (2x + 1)

∴ QP = 2\times \frac{6}{5} +1\\\\QP = \frac{12+5}{5} \\\\QP =\frac{17}{5} \\\\\therefore QP = 3.4\ unit

Therefore the length of QP = 3.4 units

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3 years ago
In the diagram, the length of segment QV is 15 units.
Andrews [41]

Answer:

The answer is 15 units.

Step-by-step explanation:

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If A= (-4 1 -4) (3 3 1) (2 5 5) and B= (-4 -5 4) (3 3 -5) (2 2 -1), find AB
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Answer:

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Option D will be your answer

-----------

hope it helps...

have a great day!!

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Answer:

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Step-by-step explanation:

We have to find the equation of plane that is parallel to the vectors

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The plane also passes through the point (2,0,-1).

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3 years ago
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