You can use Pythagoras theorem to find the radius.
r^2 + 8^2 = 10^2
r^2 + 64 = 100
r^2 = 36
r = 6
<span>5×70=5× 7 tens
=35 tens =350
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<h3>Answer: QS is 37 units long</h3>
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Explanation:
PN = 24 and NR = 14 are pieces of the chord PR. The two pieces multiply to some value. At the same time, the other two pieces QN = 21 and NS = 2x-4 also multiply to that same value. In short, the chord pieces multiply to the same number. This is known as the intersecting chord theorem.
PN*NR = QN*NS
24*14 = 21*(2x-4)
336 = 42x-84
336+84 = 42x-84+84 .... add 84 to both sides
420 = 42x
42x = 420
42x/42 = 420/42 ...... divide both sides by 42
x = 10
We know that x = 10 so we can use it to find the length of NS
NS = 2x-4
NS = 2*10-4
NS = 20-4
NS = 16
Therefore,
QS = QN + NS
QS = 21 + 16
QS = 37
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note: as a check,
PN*NR = QN*NS
24*14 = 21*16
336 = 336
we get a true equation, so we have the proper values
there are 8 letters
2/8 to get i on the first draw
1/7 to get i on the second draw (no replacement)
2/8 * 1/7 = 2/56
1/28
The probability is 1/28
Answer:
y = 2x - 1
Step-by-step explanation:
The given line is y = 2x - 6.
It is in the y = mx + b form, where m is the slope, so its slope is 2.
We need a line that passes through point P(3, 5) and has slope 2.
y = mx + b
Put the slope in m.
y = 2x + b
Use the given point with x = 3 and y = 5 and solve for b.
5 = 2(3) + b
b + 6 = 5
b = -1
The equation is
y = 2x - 1
