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dimulka [17.4K]
2 years ago
7

A 4 meter ladder leans against a house forming a

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
7 0

Answer: 2

Step-by-step explanation:

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Which expressions are completely factored? Select each correct answer. 30a6−24a2=3a2(10a4−8) 16a5−20a3=4a3(4a2−5) 12a3+8a=4(3a3+
irinina [24]

When factoring an expression, we need to identify the Greatest Common Factor of the expression (GCF). By definition, GCF is the product of prime factors involved with its Lowest Exponent.

We need to divide each term by the GCF to get the expression inside the parenthesis.

30a^6-24a^2\\ GCF\; is \; 6a^2\\ \\ 30a^6-24a^2=6a^2(\frac{3a^6}{6a^2} -\frac{24a^2}{6a^2} )=6a^2(5a^4-4)\\ ---------------------\\ \\ 16a^5-20a^3\\ GCF \; is \; 4a^3\\ \\ 16a^5-20a^3=4a^3(\frac{16a^5}{4a^3} -\frac{20a^3}{4a^3})=4a^3(4a^2-5) \\ ---------------------\\ \\ 12a^3+8a\\ GCF \; is \; 4a\\ \\ 12a^3+8a=4a(\frac{12a^3}{4a}+\frac{8a}{4a})=4a(3a^2+2)\\   ---------------------\\ 24a^4+18\\GCF \; is \; 6\\\\24a^4+18=6(\frac{24a^4}{6} +\frac{18}{6})=6(4a^4+3) \\    ---------------------

Conclusion:

From above we can conclude that the below expressions are factored completely

16a^5-20a^3=4a^3(4a^2-5)\\ \\ 24a^4+18=6(4a^4+3)

6 0
2 years ago
Read 2 more answers
57x34 (3) +2=?<br> Can anybody help and explain?
bagirrra123 [75]

Answer:

5,816

Step-by-step explanation:

use P.E.M.D.A.S

P) parenthesis

E) exponents

M/D) multiply and divide (whichever comes first from left to right)

A/S) addition and subtract (same as multiply and divide)

8 0
2 years ago
X≤−2 and x&lt;−5 on a number line
sweet [91]

x is less than or equal to -2.

x is greater than -5.

When x is less than something, the arrow must go left. <———

When x is equal to a number, the dot must be filled in.    •

When x is greater than a number, the arrow should go right, toward the greater values. ——>

When x isn’t equal to the number, the circle is not colored in. ⭕️

Shown in picture:

4 0
3 years ago
HELPPP!!! can someone turn 3x−2=13 into a WORD problem. (i already know answer)
postnew [5]
Answer:
2 less than 3 times a number is 13
5 0
1 year ago
What was the approximate increase in diameter of chest circumference during a quiet inspiration?
alexgriva [62]
Forced inspiration is the procedure in which you compel the muscles to help the essential muscle this can be, in a ton of cases, profound relaxing. The measure of increment amid constrained motivation relies on upon the general size of the trunk. In any case, the normal is around six to seven centimeters.
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3 years ago
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