Answer:
pre-image XYZ is X (2, 2), Y (6, 0), Z (1, -1)
The above is the second option in your question.
Step-by-step explanation:
a triangle has points X' (-2, 2), Y' (0, 6), Z' (1, 1)
To rotate the above triangle -90° about the origin you invert the x & y values and change the sign on the new y value.
pre-image XYZ is X (2, 2), Y (6, 0), Z (1, -1)
To factor, you can first treat it like a single bracket and find the common factor. In this case, the common factor is 3x, so you get
3x(x² + 7x + 12)
Now you can factor the bracket normally, by finding factors of 12 that add up to make 7. The factors would be 3 and 4, so the bracket becomes (x + 3)(x + 4).
This leaves your final answer as
3x(x + 3)(x + 4)
I hope this helps!
Step-by-step explanation:
By using Pythagoras theoram,
x²= (6)²+(4)²
optionD
I Think it would either be D or C
(I’m not sure, let me know if I’m wrong)
9514 1404 393
Answer:
about $171,400
Step-by-step explanation:
William's total monthly debt is ...
$1012.84 +579.13 +250 +300 = 2141.97
On an annual basis, this is ...
12 × $2141.97 = $25,703.64
This will be 15% of (25703.64/0.15) = $171,357.60.
William's new annual salary should be about $171,400 to keep his debt ratio at the recommended 15%.
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<em>Additional comment</em>
A debt ratio of 15% is a pretty aggressive target. Most mortgage lenders like to see the "front end" ratio (housing expense) less than 28%, and the "back end" ratio (all debt) less than 36%.
