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valentina_108 [34]
3 years ago
15

Solve the equation. (find x)​

Mathematics
1 answer:
Irina-Kira [14]3 years ago
8 0

Answer:

Step-by-step explanation:

(x^2-3x+1)^{(2x^2+x-6)}=1\ we \ take \ the \ logarithm\\\\(2x^2+x-6)*ln(x^2-3x+1)=0\\\\(2x^2+x-6)=0\ or\ x^2-3x+1=1\\\\1)\\2x^2+x-6=0\\2x^2+4x-3x-6=0\\2x(x+2)-3(x+2)=0\\(x+2)(2x-3)\\x=-2\ or\ x=\dfrac{3}{2} \\\\2)\\x^2-3x=0\\x(x-3)=0\\x=0\ or\ x=3\\\\sol=\{-2,0,\dfrac{3}{2},3\}\\

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Three sides of a kite measure 8 inches, 10 inches, and 8 inches. What is the perimeter of the kite?
olganol [36]

Answer:

26

Step-by-step explanation:

8+10+8=26

3 0
2 years ago
Each side of the smaller square in the figure below is n inches long, and each side of the larger square is p inches longer than
lana66690 [7]

Answer:

2np + p²

Step-by-step explanation:

The general formula for the area of a square is A = s², where s = the length of one side of the square.  In the case of the smaller square the area would be: n x n = n².  Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'.  To find the area of the larger square, we have to take the length x length or (n +p)².

Using FOIL (forward, outside, inside, last):

(n + p)(n+p) = n² + 2np + p²

Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.

n² + 2np + p² - n² = 2np + p²


8 0
3 years ago
How to find the equation of a circle
Finger [1]
Hmmm lemme do the first one only

\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
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radius=\stackrel{2}{ r}
\\\\\\
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4 0
3 years ago
Kayla uses fancy beads which she purchases online to make bangle bracelets. The chart shows the number of beads available for di
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Answer:B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
2 3/4 - 1 1/8=?
Airida [17]
Basically you need to make the denominator (whats on the bottom) the same, lets take the first one for example


2 3/4, lets put this all over 4 for the same denominator.

2=8/4, and then add this to 3/4 to get 11/4.

the second part will work the same way,

start by making 1 into 8/8. add this to 1/8 to get 9/8


now we have to add 11/4 and 9/8. to do this, you have to find the smallest multiple between the two (for example: between 6 and 4 it would be 12, since 4*3= 12, and 2*6=12)

now, the smallest common multiple between 4 and 8 would just be 8


11/4= 22/8, since you multiply the bottom and top by the same amount so it still equals 11/4, but your denominator will now be 8.


now you can subtract. 22/8- 9/8= 13/8


final answer: 13/8


try the rest yourself since this is important for later math, hoped this helped :)


3 0
2 years ago
Read 2 more answers
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