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Dmitry [639]
2 years ago
6

Find the value of the expression: −mb −m^2 for m=3.48 and b=96.52

Mathematics
1 answer:
serg [7]2 years ago
5 0

Answer:

The value of the expression when m = 3.48 and b = 96.52 is 323.779.

Step-by-step explanation:

Let be f(m, b) = m\cdot b - m^{2}, if m = 3.48 and b = 96.52, the value of the expression:

f(3.48,96.52) = (3.48)\cdot (96.52)-3.48^{2}

f(3.48,96.52) = 323.779

The value of the expression when m = 3.48 and b = 96.52 is 323.779.

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In the following picture, (QS) ̅ and (PR) ̅ are chords of the circle. Find the length of QS. (Remember to show formulas/equation
Inessa [10]
<h3>Answer: QS is 37 units long</h3>

=========================================

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

--------

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

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