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Maru [420]
3 years ago
10

If PQR measures 75° , what is the measure of SQR

Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

Answer:

PQR+SQR=180°(angles in a triangle)

75°+SQR=180°

SQR=180°-75°

SQR=105°

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Answer:

\boxed{y=2x^2+4x-7}

Step-by-step explanation:

Let the quadratic function be

y=ax^2+bx+c


We substitute (-4,9) into the equation to obtain;


9=a(-4)^2+b(-4)+c


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We substitute (0,-7) to obtain;


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\Rightarrow c=-7---(2)


We finally substitute (1,-1) to obtain;


-1=a(1)^2+b(1)^2+c


\Rightarrow -1=a+b+c---(3)


We put equation (2) into equation (1) to get;


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\Rightarrow a+b=6---(5)


We add equation (4) and (5) to get;

4a+a=6+4



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\Rightarrow a=2


We put a=2 into equation (5) to get;


2+b=6


\Rightarrow b=6-2


\Rightarrow b=4


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y=2x^2+4x-7

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