Answer:
m = 7.1
Step-by-step explanation:
3 (m -5) + 8 = 7 -1/2 (4m - 11)
So, what I did first was distribute the values in the parenthesis to get,
3m - 15 + 8 = 7 -2m -5.5
Now that we have the parenthesis taken care of we can do the simpler math,
3m - 23 = 7 -2m - 5.5
I just added the 15 and 8, so now I move the -5.5 to the opposite side by adding.
3m - 23 = 7 -2m -5.5
<u> +5.5 +5.5</u>
3m - 28.5 = 7 - 2m
Here we can do the same with the -2m.
3m - 28.5 = 7 - 2m
<u>+2m +2m</u>
5m - 28.5 = 7
To get rid of the -28.5 I added it to the 7 getting an answer of,
5m - 28.5 = 7
<u> + 28.5 +28.5</u>
5m = 35.5
Finally, divide 5m and 35.5 both by 5.
5m/5 = m
35.5/5 = 7.1
Answer: m=7.1
Sorry it's really long, but I hope this helps! Have a great day!
You didn’t attach anything?..
In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)
Part (a) asked for the equation of the line in y = mx+b form
That would be y = -2x+9
This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.
The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9
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Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below
Answer:
15:17
Step-by-step explanation:
Since the triangle has a right angle, we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
With respect to ∠B given that ∠D=90°,
BD is the adjacent side
CB is the hypotenuse side
and DC is the opposite side
Hence Sin B = 15/17