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:Here's the answer,I couldn't find too much details but here's what I found
Answer:
The answer to your question is:
Step-by-step explanation:
1.-
Data
3.3 x 10 ⁴ pounds of paper
1.5 x 10³ pounds of aluminum
Amount of aluminum / amount of paper = 1.5 x 10³ / 3.3 x 10⁴
= 0.045 times
= 4.5 x 10 ⁻²
2.-
Data
1.2 x 10 ³ text messages in a month
text messages in a year = ?
1.2 x 10³ text messages ------------------- 1 month
x ------------------- 12 months
x = (12 x 1.2 x 10³) / 1
x = 14400 text messages
x = 1.44 x 10⁴ text messages
3.-
Data
distance = 4 x 10⁶ miles I am not sure if the power is 6 or 8
speed = 1.6 x 10³ mi/h
Formula
time = distance / speed
time = 4 x 10⁶ / 1.6 x 10³
time = 2500 h
time = 2.5 x 10 ³ h
<span>D.The model predicts that for each additional degree that the high temperature is above 70°F, the total number of cones sold increases by 3.7.</span>
The hardest part is finding the length of the curve at the top. To find arc length, multiply the circumference by the arc angle divided by full angle (360°) in a circle. Or:
x, the arc angle in a semicircle, is 180°.
r, the radius is 7/2 = 3.5.
Now just plug the numbers in and solve for arc length, s.
s = 2π(3.5)(1/2) ≈ 11.00
Now just add up all the sides. 11cm + 10cm + 10cm + 7cm = 38 cm.
