Captain Brewster captured a pack of aliens. The following data points represent the lengths of each of the aliens' big toes (in centimeters). 18, 16, 17, 17, 16, 15, 16. Using this date, create a dot plot where each dot represents a big toe.

Answer:

Step-by-step explanation:

You asked: How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? First, and mostly obviously is when the directions say to factor the given expression. Next, if you're given an equation and asked to solve it. You set it equal to 0 and factor the perfect square trinomial or the difference of squares binomial. Set each factor equal zero and solve. This is a little bit oversimplified but, solutions are roots are zeros are x-intercepts, so if you are asked to find any of those things. Set your equation equal to zero, factor and solve. Also, if you have a rational expression (a fraction with a polynomial on top and a polynomial on the bottom) you would need to factor in order to simplify, to sketch a graph without technology. Anytime you need to simplify, factoring is good to try.

You also asked: How can sums and differences of cubes be identified for factoring? The sum or difference of cubes is in the form a^3 + b^3 or a^3 - b^3

You can memorize how to factor these a^3 + b^3 = (a+b)(a^2 - ab + b^2) and

a^3 - b^3 = (a-b)(a^2 + ab + b^2)

If you take the trouble to multiply these two factors back together you will see how four terms drop out and you get a binomial. Also the is an acronym SOAP to help you memorize it. Factoring cubes is used in the same way as you previous question. To factor, to solve, to simply, to graph. This was a really general question. I hope this helps.

Answer:

Step-by-step explanation:

    100y = 70.707070707...

          y =   0.707070707...

100y - y = 70

      99y = 70

           y = 70/99

so probably your answer should be A at 0.7071

Answer:

213 crates

Step-by-step explanation:

There is enough space for 26000 kg - 13200 kg = 12800 kg. Divide this by 60 and you get 213 and 1/3. You cannot put 1/3 of a crate, so it is 213 crates.

Answer:

[tex]\sqrt{242}[/tex]

Step-by-step explanation:

(x-8)²+(y--8)²=(2)²

x²-16x+64+y²+16y+64=4

x²+y²-16x+16y+124=0

Jesus was born in 4 BC (more or less) and live to be 33 years old, which means His death was around 29 AD (more or less). That was precisely, 1992 years ago

Answer:

In "The Lottery Ticket", Chekhov develops the theme that the love of money can destroy one's satisfaction.

Answer:

x=-5 and y= 4

Step-by-step explanation:

To eliminate x, add up both equations

9y= 36

divide both sides by 9

y=36/9

y= 8

To eliminate y, multiply the first equation by 8

-16x + 8y = 112

2x+ 8y= 22

Subtract equation 2 from equation 1

-18x = 90

Divide both sides by -18

x= 90/-18

x= -5

Unit rates is the rate of a quantity in comparison to 1 i.e. unit.

Based on the given parameters, Shanya is the fastest typist

From the question, the unit rates are given as:

The unit rates of Tristan and Ebony are not given.

So, we compare the rates of James and Shanya

3 words in a second is greater than 0.5 words in a second.

Hence, Shanya is the fastest typist

Read more about unit rates at:

https://brainly.com/question/11848573

Answer:

✔ 1.5

words/second is the unit rate for Tristan.

✔ 2

words/second is the unit rate for Ebony.

So,

✔ Shanya

is the fastest typist

thanks and 5 stars >:(

Answer:

35/5

Step-by-step explanation:

7/1 divded by 3/5. flip 3/5 to its reciprocal so it becomes 5/3, then times 7/1 by 5/3

[tex]\cfrac{1}{2}+\cfrac{\underline{2}}{3}\implies \cfrac{(3)(1)~~ +~~(2)(\underline{2})}{\underset{\textit{using this LCD}}{6}}\implies \cfrac{3+4}{6}\implies \cfrac{7}{6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{6}\div \cfrac{1}{6}\implies \cfrac{7}{~~\begin{matrix}6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies 7[/tex]

Answer:

sin(72°)=x÷20ft.

sin(72°)×20ft.= 19ft 252 inches

the ladder reach 19ft 252 inches tall on the building.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we need to find the 20% discount.

$32.99 x .20 = $6.598

The 20% discount is $6.59

We subtract the discount from the original price:

$32.99 - $6.59 = $26.40 (This is price after the discount.)

Now we need to find the amount of the sales tax on the discounted price.

$26.40 x .08 = $2.11 (This is the sales tax on the discounted price.)

The total price Andre paid is the discounted price plus the sales tax.

$26.40 + $2.11 = $28.51

Total price paid: $28.51

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The supplement of 102 = 180 - 102 = 78

It is the interior angle of the given exterior angle.

It is also the enclosed angle of the isosceles triangle

Each of the other two angles = y

180 = 2*y + 78              Subtract 78 from both sides

180 - 78 = 2y                Combine

102 = 2y                       Divide by 2

102 / 2 = y    

51 = y

The smaller triangle on your right has  2 equal sides that are marked.

The angle you just found = <2 and the vertically opposite angle of the 51

So <2 = 51

Answer:

Step-by-step explanation:

general equation for a circle at the origin is

x² + y² = r²

if the circle center is (x₀, y₀), the formula is

(x - x₀)² + (y - y₀)² = r²

(x - 8)² + (y - 10)² = 36

Step-by-step explanation:

The answer im just guessing but teachers like to do false false true true so sorry if im wrong

Answer:

(9/7)^1

Step-by-step explanation:

(7/9)^-1

use rule a^-b = 1/a^b

som

1/(7/9)^1

(9/7)^1

Answer:

It is 50

Step-by-step explanation:

Hope this helps

Answer:

50

Step-by-step explanation:

Answer:

It is congruent to the angle F, as they are similar triangles.

Answer:0

Step-by-step explanation:

hey i'm in the six grade i'm not sure but pls try it

Answer:

exact form is 6/5 its decimal form is 1.2, and mixed numbers is 1  1/5

Step-by-step explanation:

Answer:

6/5, 1.2, or 1 1/5

Answer:

Negative

Step-by-step explanation:

The slope of the line is negative because when looking at the graph, you can see that the line starts in the 2nd quadrant and ends in the 4th.

Answer:

The square root of 10 is expressed as √10 in the radical form and as (10)½ or (10)0.5 in the exponent form. The square root of 10 rounded up to 10 decimal places is 3.1622776602

Step-by-step explanation:

hope this is correct