Answer:
48.
Step-by-step explanation:
First you multiply the number by itself as many times as the number of the exponent is. In this case you <u>multiply -3 to itself 6 times which makes -729</u>, <u>2 to the 6th power is 64</u>, <u>-3 to the 5th power is -243, and 2 to the 2nd power is 4.</u> Then you <u>multiply -729 by 64 which makes -46656</u> and <u>multiply -243 by 4 which makes -972</u>, and then <u>divide -972 from -46656</u> <em>which makes 48</em>.
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>
Answer:
x=5
Step-by-step explanation:
-5x+6(5x-18)=17
-5x+30x-108=17
25x-108=17
25x=17+108
25x=125
x=5
Answer:
C ≤ 2
Step-by-step explanation:
Given that :
Clayton is at most 2 meters above sea level ;
Let Clayton = C
Clayton's distance can be represented by the inequality :
2 meters above sea level is positive, +2
At most 2 meters above sea level means, Clayton could be anywhere between + 2 metwrs but not more than 2 meters
Hence, Clayton's distance can be represented by the inequality :
C ≤ 2
