The square of a number is that number ___________________________________. The square of an integer is a _________________________.
The square of negative 12 is written as _______________. The opposite of the square of 12 is written as ______________.
2 • 2 = 4. Another number that can be multiplied by itself to equal 4 is _______.
2. Fill in the blanks with square root or principal square root.
A ___________________________________ is a number that produces a given number when it is multiplied by itself.
The ___________________________________ is the positive square root of a number and is shown using the radical symbol, √.
3. Complete the table to describe perfect cubes.
Definition A number multiplied by itself _______ times.
Examples 13 = 1 • 1 • 1 = _____
23 = _____ • _____ • _____ = 8
_____3 = 4 • 4 • 4 = _____
4. Answer the questions about cube roots.
What is a cube root?



Use the radical symbol to represent the cube root of 8.


What is the cube root of –8?



Main idea: Solving equations by taking the square root
5. Complete the steps to show how to solve x2 = 36.

6. Answer the questions about Ally's web page icons as you work through the problem in the study.
Each icon contains 1024 pixels arranged in rows. What does p represent in the equation p2 = 1024?




What is the first step in solving p2 = 1024?




Why doesn't the solution p = –32 make sense for this problem?





Main idea: Solving equations by taking the cube root
7. Solving an equation in the form x3 = p is similar to solving equations with squared terms. Complete the table to show the differences.

x2 = p x3 = p
To solve: Take the square root.

Number of solutions and their sign(s): Two solutions. One is positive and one is negative.

Example:


8. Answer the questions about Tanisha's baking supply container as you work through the problem in the study.
The volume of the salt container is 125 cm3. What does x represent in the equation x3 = 125?



What is the first step in solving x3 = 125?



Is x = –5 a solution to the equation? Why or why not?




Key Terms
Use this table to write definitions for the key terms from this activity in your own words. If you're confident you know a term, put a check mark next to it and move on.

Key Term Definition
cube

cube root

integer



inverse operations

perfect square

principal square root

square

square root

I

Did you just copy and paste your assignment??

If yes, please do not do such a thing and give it in a question by question basis, sorry but I can't type such a big one. Suggestion!!

Ten less than 3 times a number is the same as the number plus 4.​

plz help me with these two questions ( show work plz)​

Find the midpoint of the segment with the given endpoints. (8, 0) and (- 10, 4)

2(x + 3) – 10 = 4x


Can you also explain please. Thanks

A rule of thumb for estimating the size of a crowd is that 2 people take up
5 square feet. If a club has a dance floor that is 30 x 20 feet, how many
people could crowd onto the floor?

A scuba diver returning to the surface swims to move up quickly, then waits a few meters below the surface to avoid pressure issues. They complete the ascent more slowly. The function f represents the diver's distance from sea level over time, in seconds. Which of the following is true for f? f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7 Group of answer choices The domain is the depth interval (−26, 1). The domain is the depth interval (−9, 1]. The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7. The domain is the time interval (−9, 7). Group of answer choices domain: (–3, 3] negative: (–3, –2), (2, 5] range: (–3, 4] decreasing: (–1, 4) increasing: (–3, –1) positive: (–2, 2)

Solve the equation for y in terms of x
12x + 3y = 12

∠CAT and ∠TAD is a linear pair. If m∠CAT = 14 and m∠TAD = x+10, find x.
(show work please)

matt and craig run into each other at the batting cages they wonder why they didn't see each other more often since they have practices there regularly matts coach takes him there every 7 days and craigs teacher takes him there every 4 when will they see each other again

-19a = -174.8
Solve equation

11-3(a-2)=27 I NEED TO SHOW WORK HELP

A car rental agency advertised renting a car for $26.95 per day and $0.24 per mile. If Kevin rents this car for 3 days, how many whole miles can he drive on a $250 budget?
miles (Round down to the nearest whole mile.)

A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 260 m and the minimum diameter, 500 m above the base, is 180 m. Find an equation for the tower. (Assume the position of the hyperboloid is such that the center is at the origin with its axis along the z-axis, and the minimum diameter at the center.)

simply: -2 1/3 - (-10 1/6)

2. Construct the perpendicular bisector of CD. Label the intersection of CD and the perpendicular

bisector point M. (5 points)

From c to d line

I need help fast

what is the capital of poland?​

Shawn is starting a woodworking project for which he needs a large number of 2x4s. He plans to buy 2x4s that are 6 feet in length and cut them into the following sizes: eight pieces that are 12.5 inches long • six pieces that are 8.75 inches long • nine pieces that are 6.25 inches long Note: A 2x4 ("two by four") is a rectangular piece of wood that is two Inches high and four inches wide, as shown in the picture. It can have varying lengths. The 2x4s that Shawn is buying have a length of 6 feet, or 72 inches. 6' or 72" 2" 4" Find the most efficient way for Shawn to cut these pieces. In other words, what is the fewest number of boards he can cut from? Describe for Shawn the most efficient way to cut his boards. You may include a diagram if you wish.​

Heidi Muir, a sporting goods wholesaler, purchased goods from a supplier for $3,400. The
supplier offers a 3% discount if the invoice is paid within 10 days; if not paid within 10 days, the
full amount must be paid within 30 days of the invoice date. Use the formula to find the annual
rate Heidi, in effect, is paying the supplier if she fails to pay the invoice at the end of the discount
period

if x=3 and y= 2 cm what is the perimeter of the plygon

what is the solution to 8t+5= 6t+1 ?
(variables on both sides

What is the vertex of the graph of y = 1/4 (x - 2)^2+ 6?
(0,7)
(4,7)
(2,6)
(-2,-6)

what is the area of this triangle? and can you give me the equation on how to solve it? thank you!

d= V(x2 – x1)2 + (y2 – yy)2

I am an odd number.my digits add up to 7. i am bigger than 50 and smaller than 100.who am i?

Please help I'm stuck

0.2, 0.19, 3/5
Greatest to least

This table displays the height of water as a pool is being Use the table to interpret the rate of change.
filled.
What is the change for each consecutive input?
Time (min)
Height
(in.)
What is the change for each consecutive output?
10
3.75
What is the rate of change for the relationship?
11
4.1
VVU
ለለለ
12
4.45
13
4.8

An object is translated by (x - 2; y- 6). If one point in the pre-image has the coordinates (-3, 7), what would be the
coordinates of its image?
(-5,1)
(-1, 13)
(-1,7)
(-9,5)

Phyllis, Kelly, Erin, and Renee bought a gift for their dance instructor. The total cost of the gift, 1 including tax, was $55.80. Erin paid $14, Kelly paid of the cost, Renee paid 25% of the cost, and Phyllis paid the remaining cost. What amount did Phyllis pay? $41.80​

3x 40° to Sum of angle measures: 180°​