ALEKS

Area of a parallelogram

A = BH

2/-9 + 5/4 2/-9 --_> -2/9 2/(-5) becomes what

-2/5

3x^2- 12x + 11 write in a(x-h)^2+k

3(x^2-4x+4)+11 3(x^2 - 4x +4 ) + 11 -12 3(x^2 - 4x + 4) -1 3(x-2)^2 -1 vertex is 2, -1

4x^3x^-7 * 2u^-6w^3 * 8wu^5 add exponents up since you are multiplying negative exponents on bottom answer :

64w^4/x^4u

SA cylinder formula

A = (pi)(r^2)+ (pi)(r^2)+ 2(pi)(r)(h)

area of triangle

A=1/2bh

Area of a parallelogram

A=bh

Area of a circle formula circumference of a circle is

A=πr² C= πd

Calculate the distance between the points G = (2,−2) and F = (9,−6) in the coordinate plane. Give an exact answer (not a decimal approximation).

D = square root of (x2-x1)^2 + (y2-y1)^2

Graph the inequality in the coordinate plane. y>4 so graph it HORIZONTALLY since it is > the line will be ________ IF ITS greater than or equal to the line will be ____

DOTTED solid

T = {(-2,-8),(-5,-6)(-2,3)} what is domain/ range domain: {-2, -5} range : {-8, -6, 3) write them all out

all

graph the inequality -4x-3y < 12

rearrange to y> (-4/3)x - 4 since y is GREATER THAN shade above the line make sure the line is dotted

slope of a parallel line is the __ as regular slope slope of perpendicular line: flip the ___ and the _____

same sign, slope

log(7) 1/7 = ? 7^x= 1/7 x = ?

x = -1

A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the high-quality version is 4.4 MB. Yesterday, there were 660 downloads of the song, for a total download size of 2068 MB. How many downloads of the standard version were there?

x+y=660 2.5x+4.4y=2068 solving for x 2.5x+4.4(660-x)=2068 -1.9x+2904=2068

|2u+10| = 4 since it is greater than 0 |2u+10| = 4 and |2u+10|=-4

answer is -3, -7

Find all values of x that are NOT in the domain of f. If there is more than one value, separate them with commas. f(x) = x+2/x^2+3x-4

factor the denominator and solve (x+4)(x-1)=0 the answer is 1 and -4

4√243 1. write all powers of 4 4√81 x 3 4√3^4 x 3 3X square root of 4 x 3

3X square root of 4 x 3

it is NOT a function if x is repeated more than ____ NOT a function if it fails the ___ test

once vertical line test(can't intersect more than once)

A line passes through the point −−3, 7 and has a slope of 2 Write an equation for this line. Y=MX+B m=2 it is the slope plug x and y in

y=2x-1

The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. When graphed, the function gives a line with a slope of −0.4 Suppose that the height of the candle after 12 hours is 22.2 centimeters. What was the height of the candle after 9 hours?

12-9=3 3x slope(-0.4)= -1.2 since it is 9 hours and the candle should be longer, add it to 22.2 22.2 + 1.2 = 23.4

Convert 9π/4 radians to degree measure. Multiply by

180/π

Calculate the distance between the points c=, (2,−2) and p=( 7,−6) in the coordinate plane. Give an exact answer (not a decimal approximation). d= square root of: (x2-x1)^2 + (y2-y1)^2 answer is the square root of ____

41

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 45 minutes of calls is $22.80 and the remaining credit after 67 minutes of calls is $19.28. What is the remaining credit after 76 minutes of calls? answer is

ANSR - 17.84 22.8-19.28/67-45 times this by (76-67) subtract that number from 19.28

rewrite as an exponential equation LOG2(1/2) = -1

LOG2(1/2) = -1 log aC=b if a^b=c answer is 2^-1=1/2

So to convert 90° to radians, we multiply by______ .

π/180