3 years ago

HELP........ Thanks!!!!

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

8 0

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Secant RM intersects secant RN at point R. Find the length of RQ. If necessary, round to the hundredths place.

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Answer:

3 Units

Step-by-step explanation:

Secant RM intersects secant RN at point R.

The secants intersects the circle at points P and Q respectively as seen in the diagram.

To determine the length of RQ, we use the Theorem of Intersecting Secants.

Applying this on the diagram, we have:

RP x RN=RQ X RM

4(4+5)=RQ(RQ+9)

Let the length of RQ=x

$4*9=x^2+9x\\36=x^2+9x\\x^2+9x-36=0\\x^2+12x-3x-36=0\\x(x+12)-3(x+12)=0\\(x+12)(x-3)=0\\x+12=0$ x-3=0\\x=-12 or x=3\\Since x cannot be negative$\\x=|RQ|=3$

Therefore, length of RQ=3 Units

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A hostel has provision for 45 students for 30 days.If 15 more students joined the hostel after 6 days,how long will provision last?

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