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AURORKA [14]
4 years ago
11

Algebraic expressions

Mathematics
1 answer:
zhenek [66]4 years ago
4 0

Answer:

11 years old

Step-by-step explanation:

Because the dog is 4 years older, add 7+4

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Solve: 12^x2+5x-4 =12^2x+6
lyudmila [28]

Answer:

x=2, x=-5

Step-by-step explanation:

to work more comfortably, the first thing we need to do is work the equation linearly, for that we take advantage of the property of logarithms that tells me that log(a^{b})=b*log(a)

in this way, the equation remains as:

log(12^{x^{2} +5x-4 } )=log(12^{5x+6} ) \\ (x^{2} +5x-4 )*log(12)=(5x+6) *log(12)\\x^{2} +5x-4 = 5x+6

Now we clear the equation so that it is of the form ax^{2} +bx+c=0

x^{2} +5x-2x=6+4\\ x^{2} +3x-10=0

finally, we apply the equation to solve second degree equations

x = \frac{-b \pm \sqrt {b^2-4ac}}{2a}

x = \frac{-3 \pm \sqrt {3^2-4*1*(-10)}}{2*1}\\ x = \frac{-3 \pm \sqrt {9+40}}{2}\\ x = \frac{-3 \pm 7}{2}

x=2 and x=-5

Done

5 0
4 years ago
Using the slope formula, find the slope of the line through the points (0,0) and (4,8).
Gala2k [10]

Answer:

m = 2

Step-by-step explanation:

<u>Using mental math to find the slope of the line:</u>

If you think about the formula, then you set up the points in your head, you will notice that the first point is on top of the second point. And that way makes it easy to simplify. All you would need to do is subtract down in your head: For example:

(0, 0)

(4, 8)

As you can see, the first point is on top of the other, and that way you can just subtract from bottom to top. If you do it that way, it is set up (Remember, you would do this all in your head)

5 0
3 years ago
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