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jeka94
2 years ago
15

Which equation could be used to find the length of the missing side of

Mathematics
1 answer:
ivolga24 [154]2 years ago
8 0

Step-by-step explanation:

use Pythagoras theorem

b =  \sqrt{h ^{2} - p ^{2}  }

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Choose the appropriate pattern and use it to find the product: (p4−q4)(p4+q4).
sp2606 [1]

The expression can be solved by expanding the bracket and multiplying out the terms

(p^4-q^4)(p^4+q^4)\begin{gathered} =p^4(p^4+q^4)-q^4(p^4+q^4) \\ =p^8+p^4q^4-p^4q^4-q^8 \\ =p^8-q^8 \end{gathered}

Therefore, the expression can be simplified as;

p^8-q^8

Alternatively, using the theorem of difference of two squares, which is

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

Hence,

p^8-q^8=(p^4)^2-(q^4)^2

7 0
1 year ago
Triangle DEF is similar to triangle GHK. What is the value of DF if GK is 3.4 inches, EF is 2.25 inches, and HK is 9 inches?
kap26 [50]
DF=3.4 because it's congruent to GK
4 0
3 years ago
Y=x^2-5x+11<br> Find vertex form
Marat540 [252]

Answer:

42

Step-by-step explanation:

The answer to life the universe and everything is 42

8 0
2 years ago
Find the area of a circle with a radius of 0.4 inches
AleksandrR [38]

Answer:

0.16 π

Step-by-step explanation:

Using the area formula pi*r^2 we can find the area of the circle, plugging in the numbers gets us pi*(0.4)^2 = 0.16 π

3 0
3 years ago
What is six less than three raised to the third power?
Nataliya [291]

Answer:

21

Step-by-step explanation:

Three raise to third power can be written as 3^3. In this three is the base which is raised to third power.

3^3 = 3*3*3 = 27

Next we need to subtract 6 from Three raise to third power(i.e from 27)

which can be written mathematically as

3^3 - 6 = 3*3*3 - 6 \\=> 27 - 6 = 21

Hence 6 less  than three raised to the third power is 21 as explained above.

4 0
3 years ago
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