Resources

Resources

Find the magnitude of a vector

y = (4x - 1)(x + 1)(x + 2) + 5

, what is the value of

y

x = -1

7

. What is the width of the TV?

How many sides does a hexagon have?

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6

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7

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10

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4

An architect is designing a rectangular-shaped skyscraper. The base of the building is a rectangle, with corners at

(1,3)

(35,3)

(35,53)

(1,53)

on the coordinate plane. What is the area of the rectangle on the graph?

Solve the equation

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235=-5(6v-5)

Identify the center and radius.

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(x-6)^{2}+(y-1)^{2}=9

\lim _{x \rightarrow 3} \frac{\sqrt{x+1}-2}{x-3}

In the equation

y=c x-10, c

is a constant. If the graph of this equation in the

x y

-plane passes through the point

(1,-3)

, what is the value of

c

Evaluate the limit:

\lim _{x \rightarrow 12} \frac{\sqrt{x+4}-4}{x-12}

Given the vector

\mathbf{v}

has an initial point at

(-2,-8)

and a terminal point at

(2,-8)

, find the exact value of

\|\mathbf{v}\|

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a

b

can take values

1

2

with equal probabilty. The probability that the equation

ax^2+bx+1=0

has real roots, is equal to

Which expressions are equivalent to

4 d+6+2 d

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Choose all answers that apply:

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2(3 d+3)

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6(d+6)

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(3 d+3)+(3 d+3)

A parabola has a vertex located at

(6,-5)

and passes through the point

(8,3)

. Use the pattern of the parabola to look for a vertical or horizontal stretch. Write the equation of the graph in vertex form.

The width of a rectangle measures

(10 g-7)

centimeters, and its length measures

(g-9)

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

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3 g-8

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-32+22 g

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6 g-16

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11 g-16

Find a vector that is perpendicular to the plane passing through the three given points.

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P(0,1,0), \quad Q(1,2,-1), \quad R(-3,1,0)

Determine the coefficient and degree of the monomial.

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-7 x^{2} y^{5}

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The coefficient of the monomial is

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The degree of the monomial is

\square

Determine the coefficient and degree of the monomial.

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5 x^{4}

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The coefficient of the monomial is ___.

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The degree of the monomial is ____.

f(x)=2 x+2

x

f(x)=-4

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h(x)=-x-4

x

h(x)=4

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g(x)=-x+2

x

g(x)=-4

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h(x)=-x+1

x

h(x)=6

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h(x)=-x+4

x

h(x)=-8

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f(x)=2 x-2

x

f(x)=-2

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f(x)=-x+3

x

f(x)=4

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f(x)=-x-4

x

f(x)=-1

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What is the discriminant of the quadratic equation

-x^{2}+5 x-2=0

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-17

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17

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33

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-33

f(x)=-x-3

f(-1)

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f(x)=-x-2

f(-1)

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Translate the statement into an equation.

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The sum of a number and

18

-29

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The equation is

\square

. (Do not simplify.)

y = x(x - 3)(x - 2)

what is the value of

y

x = 3

Click and drag like terms onto each other to simplify fully.

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-6 y+2+3-y

Click and drag like terms onto each other to simplify fully.

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-6-6 x+5 x+2

Click and drag like terms onto each other to simplify fully.

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5 x-6 y+5+6 y-y