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iris [78.8K]
2 years ago
15

Henry says that you can apply the commutative property and associative properties to 5x + 10 and get 10x + 5. Is Henry correct?

Explain
Mathematics
1 answer:
olganol [36]2 years ago
5 0

Answer:

no

Step-by-step explanation:

5x would be multiplying 5 and x. So, if x=4, then 5x would be 20, and 20+10=30. But if you did 10x+5, it would be 40+5 which is 45. Therefore, the answers would not be the same.

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Solve for x: x^2+4x-5=16x
BigorU [14]
Solve for x: x^2+4x-5=16x
first take 16x from both sides of the equation
x²-12x-5=0
now we have a quadratic. we can solve it by using the quadratic formula
x=-b plus or minus the square root of b²-4ac all divided by 2a
where a=1, b=-12 and c=-5
plug these numbers into the formula
x=12 plus or minus the square root of 144-4x1x-5 all divided by 2
<span>x=12 plus or minus the square root of 164 all divided by 2
or in decimal form </span>x = {12.403124237, -0.403124237}
6 0
2 years ago
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Simplify (Are all division)<br><br>2+4i<br>3i<br><br>3+2i<br>4+i<br><br>2i^11
Alla [95]

We\ know:\ i=\sqrt{-1}\to i^2=-1

\dfrac{2+4i}{3i}=\dfrac{2+4i}{3i}\cdot\dfrac{3i}{3i}=\dfrac{6i+12i^2}{9i^2}=\dfrac{6i+12(-1)}{9(-1)}\\\\=\dfrac{6i-12}{-9}=\dfrac{2i-4}{-3}=\dfrac{4}{3}-\dfrac{2}{3}i

\dfrac{3+2i}{4+i}=\dfrac{3+2i}{4+i}\cdot\dfrac{4-i}{4-i}=\dfrac{(3+2i)(4-i)}{4^2-i^2}\\\\=\dfrac{(3)(4)+(3)(-i)+(2i)(4)+(2i)(-i)}{16-(-1)}=\dfrac{12-3i+8i-2i^2}{16+1}\\\\=\dfrac{12+5i-2(-1)}{17}=\dfrac{12+5i+2}{17}=\dfrac{14+5i}{17}=\dfrac{14}{17}+\dfrac{5}{17}i

2i^{11}=2i^{10+1}=2i^{10}i^1=2i^{2\cdot5}i=2i(i^2)^5=2i(-1)^5=2i(-1)=-2i


Used:\ (a+b)(a-b)=a^2-b^2

6 0
3 years ago
PLEASE solve both question with each step!!
Shkiper50 [21]

Answer:

6x+10-3x=55

6x-3x=10+55

3x=65

65÷3=21.6

5 0
3 years ago
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A black tailed Jackrabbit hops about 7 feet in a single hop how far can it hop in 5 seconds
Sever21 [200]
If it hops 7 feet a second then it would hop 35 times in 5 seconds. 5 x 7 = 35.

Happy studying ^-^
6 0
3 years ago
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If AC= 8x-14 and EC = 2x + 11, solve for x.
raketka [301]

Step-by-step explanation:

AC= 8x-14

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x=(AC+14)÷8

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x=(EC-11)÷2

4 0
2 years ago
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