Extra Math Practice #131-135

What is the radius of the circle formed by the equation $x^2+y^2+10x+2y=64$ ?

A) $\sqrt{38}$

B) $8$

C) $3\sqrt{10}$

D) $90$

$\begin{align*}f(x)&=\dfrac{3x^2-5x+11}{7x^2-2x-5}\end{align*}$

The values $a$ and $b$ are not included in the domain of the rational function above. What is the value of $a+b$ ?

A) $\dfrac{10}{3}$

B) $\dfrac{12}{7}$

C) $\dfrac{5}{3}$

D) $\dfrac{2}{7}$

If $\sin x^\circ=\cos y^\circ$ , $0<x<y<90$ , and $xy=800$ , what is the value of $x^2+y^2$ ?

$\begin{align*}y&=5\\y&=a(x-b)^2+c\end{align*}$

In the system of equations above, $a$ , $b$ , and $c$ are constants. For which of the following values of $a$ , $b$ , and $c$ does the system have no solutions?

A) $a=-2,\ b=1,\ c=7$

B) $a=3,\ b=1,\ c=-3$

C) $a=6,\ b=-3,\ c=2$

D) $a=-5,\ b=5,\ c=4$

The histogram above shows the results of a free throw contest held at the grand opening of a new sporting goods store. 81 people participated in the contest; each participant attempted 10 free throws. If 9 more people had entered the contest and each of them made 5 out of 10 free throws, how would the standard deviation of the data be different?

A)The standard deviation would be higher.

B)The standard deviation would be lower.

C)The standard deviation would not be different.

D)It cannot be determined from the information given.