11: 4,874 > 4,784 > 4,687
12: 8.09 > 8.057 > 8.023
13: 15.820 > 15.280 > 15.000
14: 43,628 > 40,628 > 34,628
15: 395.050 > 395.009 > 395.005
Answer:
√85
Step-by-step explanation:
for this, you will probably need to draw a graph. Plot the points, and then you will notice that you can draw a triangle with one side being the x-axis ( go on to (-6,0) then drop down unitll you hit the point (-6;-7)
// use the pythagoream theorem to find the length
the distance of the leg on the x-axis is 6 (calculate 0-(-6))
the distance of the leg that is dropping down is -7 (calculate 0-(-7))
then we have 2 legs and need to find the hypotenuse.
Pythagorean theorem a^2 + b^2 = c^2
substitute :
6^2 + 7^2 = c^2
36+49 = 85
c= √85
Answer:
<h2>a³-b³ = (a-b)(a²+ab+b²)</h2>
Step-by-step explanation:
let the two perfect cubes be a³ and b³. Factring the difference of these two perfect cubes we have;
a³ - b³
First we need to factorize (a-b)³
(a-b)³ = (a-b) (a-b)²
(a-b)³ = (a-b)(a²-2ab+b²)
(a-b)³ = a³-2a²b+ab²-a²b+2ab²-b³
(a-b)³ = a³-b³-2a²b-a²b+ab²+2ab²
(a-b)³ = a³-b³ - 3a²b+3ab²
(a-b)³ = (a³-b³) -3ab(a-b)
Then we will make a³-b³ the subject of the formula from the resultinh equation;
a³-b³ = (a-b)³+ 3ab(a-b)
a³-b³ = a-b{(a-b)²+3ab}
a³-b³ = a-b{a²+b²-2ab+3ab}
a³-b³ = (a-b)(a²+b²+ab)
a³-b³ = (a-b)(a²+ab+b²)
The long division problem that can be used is (a-b)(a²+ab+b²)
Answer:
You use rise over run (rise/run) which is the x and y coordinates. You count how many to the going up or down then you count left to right. Hope this is useful of helpful! :)
Step-by-step explanation:
Here is a image thats an example.
There are 5 options. Let's figure out which ones are wrong, and why:
<span>y + y + y = y(1 + 1 + 1)
This one is correct, because of the distributive property. Another equivalent is 3y.
2a + 2b = 4ab
This one is incorrect, as you are not multiplying the numbers.
3 · (2 + x) = 6 + 3x
This one is correct, because of the distributive property
2t + 3t = 5t
This is correct, as you can add variables together as long as all the variables are the same
x + 3 = 4x
This is not correct, as 4x is 4 x's.
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