For each point, add 7 to the x coordinate and take away 1 from the y-coordinate.
<span>I am using a "tick-mark" to show the corresponding point, after "translation" (movement in a straight line). </span>
<span>A(-2, 2) becomes A'(5, 1) </span>
<span>Because all points have been translated in a straight line, in the same direction (the direction [7 -1]) by the same distance, the new figure A'B'C'D' will have the same shape, same size and same orientation as the original image. </span>
<span>It will simply be in a different location on the graph. </span>
<span>If you were to join A with A', B with B', and so on, you would see that all 4 vectors are parallel and are of equal length. </span>
<span>If you were to compare the segment AB (side AB of the original quadrilateral) with the segment A'B' (in the new quadrilateral), you would see that they are parallel (same slope) and have the same length. </span>
<span>Same with the other sides. </span>
<span>Tow figures that are identical (except for their location) are said to be "congruent". </span>
<span>--- </span>
<span>The new rectangle will be far to the right (7 units in x) and a bit below (-1 in y) from the old one. </span>
<span>You should draw the two figures on a graph, and you will see a lot of this very clearly.</span>
17.82 because you just take the 18% of 99 which is 0.18
I beleive the correct answer would be the either the second, or the last one, but you go with whatever feels more comfortable. Hope this was helpful! (:
Answer:
$809.32
Step-by-step explanation:
The loan amount is 80% of $150,000, or $120,000. The monthly payment of principal and interest is $586.82.
The total annual expense for taxes and insurance is $1920 +750 = $2670, so the monthly expense is $2670/12 = $222.50.
Then the total of payments for mortgage and escrow will be ...
$586.82 +222.50 = $809.32
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The monthly P&I payment is given by ...
A = P(i/12)/(1 -(1 +i/12)^(-12t)) . . . . . where i is the annual interest rate, t is the number of years, and P is the amount financed.
A = $120,000(0.042/12)/(1 -(1 +0.042/12)^(-12·30)) ≈ $586.82
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A spreadsheet or financial calculator can be useful for calculating payments, though the formula isn't difficult to use.
Answer:
You could write -5.16 as -5 4/25
