Answer:
Step-by-step explanation:
The diagram shows three paralel lines which divide the large triangle into three similar triangles.
By Thales theorem,
Then
From the similarity of triangles,
Using the number line, determine which expressions have a value that is greater than –8. Select Yes or No for each expression. l
----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
Yes:
-13 +1
-6 -(-6)
-4 -(-7)
-4 - 6
-2 - 11
No:
Yes:
-13 +1
-6 -(-6)
-4 -(-7)
-4 - 6
-2 - 11
No:
2 answers:
<h3>Answer:</h3>
yes
- -6-(-6)
- -4-(-7)
no
- all others
Doing what the directions say is generally a good idea.
Adding a number moves to the right; subtracting a number moves to the left. Subtracting a negative number is the same as adding its opposite.
The arrowhead end of the line in the figure is the end result. Two of them end up to the right of -8, that is, greater than -8.
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Answer:
x = 2
Step-by-step explanation:
The relevant rule of logarithms is ...
log(a/b) = log(a) -log(b)
This lets us combine the logs on the left to get ...
log((6 +7x)/(3x -2)) = log(5)
Taking anti-logs gives ...
(6 +7x)/(3x -2) = 5
6 +7x = 5(3x -2) . . . . . multiply by (3x -2)
7x +6 = 15x -10 . . . . . eliminate parentheses
8x = 16 . . . . . . . . . . . add 10-7x to both sides
x = 2 . . . . . . . . . . . . . divide by 8
The solution is x = 2.
_____
The graph shows the left side of the equation is equal to the right side for x=2.
