Resources

Resources

Find Coordinate on Unit Circle

A B C D

is graphed in the coordinate plane. The following are the vertices of the rectangle:

A(-8,3), B(-3,3), C(-3,6)

D(-8,6)

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What is the area of rectangle

A B C D

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\square

Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on

12

-ounce cans of tuna. Today, his local grocery store is offering

4

cans of Sea Star tuna for

\$3.28

2

cans of Ocean's Best tuna for

\$1.88

. Which brand is the better deal?

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(B)Ocean's Best

Identify the part of the circle given the equation.

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11

x^{2}+(y+3)^{2}=81

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( \square

\square

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\square

(answer in terms of pi)

Use Green's theorem to find the work done by the force

\mathbf{F}(x,y)=x(x+y)+x^{2})

in moving a particle from the origin along the

x

(5,0)

, then along the line segment to

(0,5)

, and then back to the origin along the

y

Find the length of an arc whose central angle measures

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90^\circ

that is on a circle whose diameter is

20

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2\pi

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4\pi

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5\pi

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10\pi

A

passes through the points

(4,9)

(12,23)

B

passes through the points

(0,2)

(-8,-12)

. Which statement is true?

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A

intersects line

B

at exactly one point.

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A

does not intersect line

B

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A

B

If the center of a circle is

(4,2)

and a point on the circle is

(12,6)

, what is the radius?

\vec{u} = (-10,7)

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Find the direction angle of

\vec{u}

. Enter your answer as an angle in degrees between

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0^{\circ}

360^{\circ}

rounded to the nearest hundredth.

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\theta=\square^{\circ}

\vec{u}=(4,-2)

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Find the direction angle of

\vec{u}

. Enter your answer as an angle in degrees between

0^{\circ}

360^{\circ}

rounded to the nearest hundredth.

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\theta=\square^{\circ}

Find the radius of a circle in which the central angle,

\alpha

, intercepts an arc of the given length

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\alpha=60^{\circ}, \mathrm{s}=95 \text { in }

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\square

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(Round to the nearest hundredth as needed.)

y=9\left(\frac{1}{3}\right)^{x}-4

is graphed in the

x y

-plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation?

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1

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y

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x

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y

x

A triangle has side lengths of

(n+9 p)

(6 n-8 q)

centimeters, and

(2 q-4 p)

centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

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9 n q-3 p q

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7 n-12 q+11 p

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5 p+7 n-6 q

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-2 p q+10 n p-2 n q

A circle in the

x y

-plane has its center on the line

y=1

(2,-3)

lies on the circle and the radius is

4

, which of the following could be the center of the circle?

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1

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(2,1)

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(2,-3)

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(4,1)

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(-4,1)

\frac{x}{2.6}-\frac{y}{7.8}=1

x y

-plane is a line. Which of the following is true about this line?

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1

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(A) The graph's

x

2

6

y

7

8

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x

2

6

y

-7

8

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(C) The graph has a slope of

2

6

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(D) The graph has a slope of

7

8

\vec{u} = (-7, 2)

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Find the direction angle of

\vec{u}

. Enter your answer as an angle in degrees between

0^{\circ}

360^{\circ}

rounded to the nearest hundredth.

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\theta = \boxed{\phantom{000}}^{\circ}

Imagine the unit circle with a circle. The circle has center

Q(0,0)

P(1,0)

lies on it. Another point

S(1 / 2, y)

lies on the unit circle. Which of the following could be a possible measure of angle PQS?

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-709 p i / 6

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-719

6

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-319 p i / 3

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-309 p i / 3

\vec{u}=(7,-4)

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Find the direction angle of

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\vec{u}

. Enter your answer as an angle in degrees between

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0^{\circ}

\newline

360^{\circ}

rounded to the nearest hundredth.

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\theta=\square^{\circ}

\vec{u} = (-5,-8)

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Find the direction angle of

\vec{u}

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Enter your answer as an angle in degrees between

0^\circ

360^\circ

rounded to the nearest hundredth.

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\theta = \square^\circ

\vec{u} = (-4, -3)

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Find the direction angle of

\vec{u}

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Enter your answer as an angle in degrees between

0^\circ

360^\circ

rounded to the nearest hundredth.

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\theta = \square^\circ

\vec{u} = (-1,4)

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Find the direction angle of

\vec{u}

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Enter your answer as an angle in degrees between

0^\circ

360^\circ

rounded to the nearest hundredth.

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\theta = \square^\circ

\vec{u} = (-10,7)

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Find the direction angle of

\vec{u}

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Enter your answer as an angle in degrees between

0^\circ

360^\circ

rounded to the nearest hundredth.

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\theta = \square^\circ

\vec{u} = (-2,5)

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Find the direction angle of

\vec{u}

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Enter your answer as an angle in degrees between

0^\circ

360^\circ

rounded to the nearest hundredth.

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\theta = \square^\circ

\vec{u}=(4,-2)

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Find the direction angle of

\vec{u}

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Enter your answer as an angle in degrees between

0^\circ

360^\circ

rounded to the nearest hundredth.

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\theta = \square^\circ