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Arte-miy333 [17]
2 years ago
13

Triangle XYZ is inscribed in semicircle O shown below such that YZ = 7 and YX = 10. Which of the following

Mathematics
1 answer:
valentina_108 [34]2 years ago
4 0

Answer:

(2)   6.1

tep-by-step explanation:

∠Y is a right angle, so ΔXYZ is a right triangle

XZ^{2} =  XY^{2} + YZ^{2}

XZ^{2}  = 7^{2} + 10^{2} = 49 + 100 = 149

XZ = \sqrt{149} = 12.2

XZ is the diameter of the semicircle, therefore, the radius is 12.2/2 = 6.1

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Please can someone answer this.
ivanzaharov [21]

Answer:

  •  x = -4, x = 0, x = 1

Step-by-step explanation:

x is a factor of all terms, so x=0 is a zero. (Eliminates choices 1 and 5.)

The sum of coefficients is 0, so x=1 is a zero. (Eliminates choices 3 and 4.)

Reversing the sign of the odd-degree terms gives signs of -++, so there is one sign change, hence one negative real root (by Descartes' rule of signs). This confirms choice 2 as the answer.

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Of course, your graphing calculator can answer this almost as quickly.

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Firdavs [7]

Answer:

C. Both (1, 11) and (-1, -5)

Step-by-step explanation:

The missing options are:

<em> A. Only (1, 11) </em>

<em>B. Only (-1, -5)  </em>

<em>C. Both (1, 11) and (-1, -5) </em>

<em>D. Neither </em>

To check if an ordered pair is a solution of an equation, replace one variable into the equation an calculate the other one.

Replacing x = 1, we get:

y = 8(1) + 3

y = 11

then (1, 11) is a solution

Replacing x = -1, we get:

y = 8(-1) + 3

y = -5

then (-1, -5) is a solution

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3 years ago
Solve for F: C=5/9(F-32)<br> please explain process thanks
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C=\frac{5}{9}(F-32)\ \ \ \ /\cdot\frac{9}{5}\\\\F-32=\frac{9}{5}C\ \  \ \ /+32\\\\F=\frac{9}{5}C+32\\\\F=\frac{9C}{5}+\frac{160}{5}\\\\F=\frac{9C+160}{5}
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