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dlinn [17]
3 years ago
11

Which equation show you how to find 16-9?

Mathematics
1 answer:
Setler79 [48]3 years ago
6 0
16-9=-7  nhbjjkljlhgcfgdfcjjjklhgfch;ljkhgfdfchk;klhjgf


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Factor completely x^8- 16.
Nataly_w [17]

Answer:

Step-by-step explanation:


So in this example we'll be using the difference of squares which essentially states that: (a-b)(a+b)=a^2-b^2 or another way to think of it would be: a-b=(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}). So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:

x^8-16 = (x^4-4)(x^4+4)

Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:

x^4-4 = (x^2-2)(x^2+2)

So completely factored form is: (x^2-2)(x^2+4)(x^4+4)

I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because x^2+4 = x^2-(-4). and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes: x^4+4 = x^4 - (-4) = (x^2-\sqrt{-4})(x^2+\sqrt{-4}) = (x^2-2i)(x^2+2i) just something that might be useful in some cases.

7 0
1 year ago
Read 2 more answers
Cara graphs a system of linear equations and identifies a point as the solution.
UNO [17]
I think the answer is d. the intersection of the 2 lines
7 0
2 years ago
$21.46 Divided By 37 I want the solution and the answer
Sergio [31]

Answer:

\frac{21.46}{37}  = 0.58

answer:$0.58

7 0
2 years ago
I need help ASAP! Pease help me understand this please and thank you
Kitty [74]

Answer: the missing side lenght is: 75ft

Step-by-step explanation:

Phytagoras theorem: 21^2+72^2=x^2 / x is the missing side lenght

                                     x=\sqrt[2]{21^{2} +72^{2} }

                                      x=75ft

5 0
2 years ago
Please help! Please show all work! Thx!
OverLord2011 [107]

Answer:

Part A)

86=2(x+22)

Part B)

l=26\text{ cm}

Step-by-step explanation:

We know that the rectangle has a length of (x+5) and a width of 12 cm.

Part A)

Remember the formula for the perimeter of a rectangle:

P=2(l+w)

We know that the perimeter is 86. Substitute that for P:

86=2(l+w)

Substitute (x+5) for the length l and 17 for w. So:

86=2((x+5)+17)

We can simplify this to acquire our equation:

86=2(x+22)

Part B)

To find the length, let's find our x first. We have the equation:

86=2(x+22)

Divide both sides by 2:

43=x+22

Now, subtract 22 from both sides. Therefore, our x is:

x=21

To find the length, remember that the length is:

l=x+5

Since we now know the value of x, substitute 21 for x:

l=21+5

Add:

l=26\text{ cm}

So, the length is 26 centimeters.

And we're done!

4 0
3 years ago
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