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andrezito [222]
3 years ago
14

Write with numbers: 32 Four hundred sixty seven and 100

Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0
Thirty two
467
one hundred
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Expand and combine like terms (3z^5 +7z^2)^2
AVprozaik [17]

Answer:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Step-by-step explanation:

Since it's a perfect square, we can simply use the formula:

\displaystyle{(ax+by)^2 = a^2x^2+2abxy+b^2y^2}

Given the perfect square expression \displaystyle{(3z^5+7z^2)^2}. Apply perfect square formula:

\displaystyle{(3z^5+7z^2)^2 = 3^2(z^5)^2+2(3)(7)(z^5)(z^2) + 7^2(z^2)^2 }

Knowing laws of exponent is mandatory when it comes to algebra. Recall that:

\displaystyle{(a^m)^n = a^{mn}}\\\\\displaystyle{a^m \cdot a^n = a^{m+n}}

Apply laws of exponent to simplify the terms or expression:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

8 0
1 year ago
Find the area of the figure.(sides meet at right angles.)
Ann [662]

Answer:

48

Step-by-step explanation:

not sure

5 0
3 years ago
Read 2 more answers
Find the value of the x for the following 5x - 7 = 18
777dan777 [17]

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

5x - 7 = 18

Step 2: Solve for <em>x</em>

  1. Add 7 to both sides: 5x = 25
  2. Divide both sides by 5: x = 5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

5(5) - 7 = 18

25 - 7 = 18

18 = 18

5 0
3 years ago
Read 2 more answers
What is 98.86-85.15 show me answers
tiny-mole [99]
98.86-85.15= 13.71 This is the answer to the problem. It's really easy. U just subtract and that's it.
7 0
3 years ago
Evaluate the following expression:<br><br> 5z + 3n - z^3<br><br> n = 7<br><br> z = 1
frutty [35]

Answer:

25

Step-by-step explanation:

So first we'll input the numbers then since we have them.

5(1) + 3(7) - 1^3

So we're going to use the order of operations here first (PEMDAS) and start with the exponent because the parenthesis I used just represent multiplication. And 1 to the power of anything is still 1. Even 1^1000000000000000000000000000.....

It's still 1.

So now we have this:

5(1) + 3(7) - 1

Now we can multiply:

5 + 21 - 1

Then, add and subtract:

26 - 1

To get:

25

8 0
3 years ago
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