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ki77a [65]
2 years ago
15

Slope of the line 8x+6y=12

Mathematics
2 answers:
Harlamova29_29 [7]2 years ago
8 0
The slope

Of the line is -4/3
ICE Princess25 [194]2 years ago
4 0
The slope

 is -4/3...........
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Simplify the expression below and write it as a single logarithm:
OLEGan [10]

The simplification of 3log(x + 4) – 2log(x – 7) + 5log(x - 2) - log(x^2) is \log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)

<u>Solution:</u>

Given, expression is 3 \log (x+4)-2 \log (x-7)+5 \log (x-2)-\log \left(x^{2}\right)

We have to write in as single logarithm by simplifying it.

Now, take the given expression.

\rightarrow 3 \log (x+4)-2 \log (x-7)+5 \log (x-2)-\log \left(x^{2}\right)

Rearranging the terms we get,

\left.\rightarrow 3 \log (x+4)+5 \log (x-2)-2 \log (x-7)+\log \left(x^{2}\right)\right)

\text { since a } \times \log b=\log \left(b^{a}\right)

\rightarrow \log (x+4)^{3}+\log (x-2)^{5}-\left(\log (x-7)^{2}+\log \left(x^{2}\right)\right)

\text { We know that } \log a \times \log b=\log a b

\rightarrow \log \left((x+4)^{3} \times(x-2)^{5}\right)-\left(\log \left((x-7)^{2} \times\left(x^{2}\right)\right)\right.

\text { We know that } \log a-\log b=\log \frac{a}{b}

\rightarrow \log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)

Hence, the simplified form \rightarrow \log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)

4 0
3 years ago
Read 2 more answers
Plesse help geomrety
marin [14]
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8 0
2 years ago
What does it mean to say that a figure has slide or translational symmetry?
vredina [299]

Answer:

Step-by-step explBanation:

3 0
2 years ago
On A piece of paper graph the system of equations. Then determine which answer choice matches the graph you drew and identify a
hodyreva [135]

Answer:

Final graph is attached.

Solution is x=2, y=3

Step-by-step explanation:

As we have to solve by graphing to let's graph y=2x-1 first.

we are free to plug any number for x say x=0 and x=2

when x=0 then y=2x-1 changes to

y=2(0)-1=0-1=-1

Hence point is (0,-1)

Similarly

when x=2 then y=2x-1 changes to

y=2(2)-1=4-1=3

Hence point is (2,3).

Now we graph both points (0,-1) and (2,3) then join them by a straight line.


We repeat exactly same process for other line y=-x+5 and get points (0,5) and (2,3)

Now graph both to see the intersection point of both lines

We see that both lines intersect at point (2,3)

<u>Hence final answer is (2,3) or we can also write x=2, y=3.</u>

6 0
2 years ago
Read 2 more answers
With is the 5(6+7)-1(4+5)
Mkey [24]

Answer:

56 :)

Step-by-step explanation:

hope it helps! brainliest please!

6 0
2 years ago
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