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xz_007 [3.2K]
3 years ago
15

9-19 can somebody explain how to do one of them (not the answer) but how to work them out and the answer

Mathematics
2 answers:
PIT_PIT [208]3 years ago
6 0
First one is explained. Perfect square- use perfect square rule

Jet001 [13]3 years ago
3 0

Answer: I’ll give you an example of how to do it by solving number 9 - h^2 + 8h + 16

Step-by-step explanation:

Step 1: Find two numbers that when you multiply them it gives you the first term’s coefficient multiplied by the last term’s coefficient (1x16 = 16) and when you add them it gives you the second term’s coefficient (8). The numbers in this case are positive 4 and positive 4.

Step 2: Create two parenthesis with the letter accompanied by the numbers. (h + 4)•(h+4). And that’s how you factor.

In case the first term is elevated to the third you will have to take out GCF (greatest common factor) first. If the numbers are too high like in the exercise number 15 you can also take out GCF and it will make it a lot easier to solve. Sometimes what you write on the parenthesis in the step 2 can be simplified, if that’s so then you would have to do it in order to get the correct answer.

Hope this helps you.

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Rewrite in simplest rational exponent form x^1/2*X^1/4
jasenka [17]

Answer:

\sqrt[4]{x^3}

Step-by-step explanation:

First, let's examine our original statement.

x^{\frac{1}{2} }\cdot x^{\frac{1}{4}}

Using exponent rules, we know that if we have x^a \cdot x^b, then simplified, the answer will be equivalent to x^{a+b}.

So we can simplify this by adding the exponents \frac{1}{2} and \frac{1}{4}.

Converting  \frac{1}{2} into fourths gets us \frac{2}{4}.

\frac{2}{4} + \frac{1}{4} = \frac{3}{4}.

So we now have x^{\frac{3}{4}}.

When we have a number to a fraction power, it's the same thing as taking the denominator root of the base to the numerator power.

Basically, this becomes

\sqrt[4]{x^3}. (The numerator is what we raise x to the power of, the denominator is the root we take of that).

Hope this helped!

4 0
3 years ago
Read 2 more answers
An average person in the United States throws away 4.5 × 10² g of trash per day. In 2013, there were about 3.2×1063.2×106 people
Mashcka [7]
Well, Since every 1 person throws away 4.5 × 10² g trash each day (365 days in each year), You would times 3.2×1063.2×106  by the 4.5 × 10² g to get how much trash was thrown away each day and then times that by 365 to figure how much trash was thrown away the entire year
8 0
3 years ago
The sum of two integers is 21. Fifteen less than double the square of the smaller integer is equal to the larger
Salsk061 [2.6K]

Answer:

2x^2+x-36=0

(4,0)

2*4^2+4-15=21

Step-by-step explanation:

6 0
3 years ago
3/24 =33/x. Use equivalent ratios to find the unknown value
Tasya [4]
X/the answer is 264
because 33 times 24 is 792 and divide that by 3 is 264
hope this helps :)
7 0
3 years ago
Please help.. 10 points
Leokris [45]

Answer:

z = 55.15432893

x = 59.61543424

y = 22.5166605

Step-by-step explanation:

To find length "z" you will have to use SOHCAHTOA.

Labelling the triangle will show us that the side marked "z" is the hyp and the side marked 39 is the opp.

sin 45 = \frac{39}{z}

z sin 45 = 39

         z  = \frac{39}{sin45}

         z = 55.15432893

Using Pythagoras' theorem, you can find that the adj = 39

In the other triangles POV, the adj is actually the opp.

Therefore, use tangent to find y.

tan 60 = \frac{39}{adj}

y tan 60 = 39

           y = \frac{39}{tan60}

           y = 22.5166605

Use Pythagoras's Theorem to find x.

23^{2} + 55^{2} = x^{2}\\\sqrt{23^{2} + 55^{2}}  = x\\59.61543424=x

3 0
3 years ago
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