Answer:
Step-by-step explanation:
In similar triangles, all corresponding sides are similar. Since corresponds with , they are similar. None of the other answer choices use corresponding sides.
To identify the slope of the equation given, it would be helpful to write it in the slope-intercept form. It is expressed as y = mx + b where m is the slope. We write it as follows:
<span>27y=3x-54
y = 3x/27 - 54/27
y = x/9 - 2
Therefore, the slope is 1/9. Hope this answers the question. Have a nice day.</span>
Answer:
Step-by-step explanation:
1) Factor using polynomial division.
2) Rewrite in the form , where a = x and b = 5.
3) Use Square of Sum: .
Remark
You could solve it using logs. Either base will do. They both will give you the same answer (I'll put the second solution before the first one).
Step one
Take the log of both sides.
Log 37^x = log 12
Step Two
Using the power rule for logs, multiply x by the log(37)
x*log(37) = log (12)
Step three
Divide both sides by the log(37)
x = log(12) / log (37)
x = 1.079 / 1.568
x = 0.6882 <<<<< Answer
Use ln
ln 37^x = ln12 Take ln of both sides.
x*ln(37) = ln(12) Multiply x (the power by ln(37)
x = ln(12) / ln(37) Divide by ln(37)
x = 2.485 / 3.611
x = 0.6882
You should be able to put the sentences together just the way I've done it.
Answer:
m + 6
Step-by-step explanation:
The words 'a sum' indicate addition since a sum is the answer to an addition problem. Therefore, the expression is m + 6.