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Mathematics

1 answer:

algol [13]2 years ago

6 0

Answer:jio

Step-by-step explanation:

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Find m∠A.<br> A. 32<br> B. 26<br> C. 27<br> D. 30

krok68 [10]

<h3>Answer: B. 26</h3>

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Use law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

9^2 = 6^2 + 14^2 - 2*6*14*cos(A)

81 = 36 + 196 - 168*cos(A)

81 = 232 - 168*cos(A)

81 - 232 = -168*cos(A)

-151 = -168*cos(A)

-168*cos(A) = -151

cos(A) = (-151)/(-168)

cos(A) = 0.8988095

A = arccos(0.8988095)

A = 25.9979801

A = 26 degrees approximately

3 0

3 years ago

Which of the following points lies on the graph of y = x 2 - 2x + 6? (-3, 21) (-2, 0) (-1, 10)

gulaghasi [49]

Answer:

$\textbf{None of them. }\\$

Step-by-step explanation:

$\textup{\textbf{For the points to be on the graph substitute for $x$ and $y$ and check for equality.}}\\\textup{The function given is:}\\$$ x^2 + 2x + 6 $$ \\\textup{Let us check for $(-3,21)$}\\$

$$ i.e., {(-3)}^2 + 2(-3) + 6 = 9 \ne 21 $\\\textup{That means the point is not on the graph.}\\\textup{Similarly, for $(-2,0)$ we see that}\\$ {(-2)}^2 + 2(-2) + 6 = 6 \ne 0 $\\\textup{Similarly check for $(-1,10)$ to find out that it isn't satisfied as well.}\\$