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>
<h2>
Explanation:</h2><h2>
</h2>
We know some facts:
- x for the original price.
- The store has a coupon for $10 off and a discount of 20%
- C for the price after the coupon is applied.
So from the statement 2, you can realize there are two types of discounts:
- The discount offered by the coupon
- The discount offered by 20%
Since we need to write a function just for the coupon, then we don't include the discount offered as percentage, then we subtract the coupon from the original price:

<h2>
Answer:</h2>
<em>The number is </em><u><em>irrational</em></u><em>.</em>
<h2>
Step-by-step explanation:</h2>
<h3>1. Convert to decimal.</h3>

<h3>2. Conclude.</h3>
<em>Since this number shows to have infinite decimal figures, it cannot be represented as the ratio of 2 integers. Hence, the number is </em><u><em>irrational</em></u><em>.</em>
<u><em>-------------------------------------------------------------------------------------------------------</em></u>
<em>Note.</em><em> In case the number expressed in the question was </em>
, the answer would still be <u><em>irrational</em></u><em>, for the same reasons explained above</em>.
<u><em>-------------------------------------------------------------------------------------------------------</em></u>
<em>Learn more about the classification of numbers here:</em>
<em>brainly.com/question/28292851</em>
<em>brainly.com/question/28292525</em>
<em>brainly.com/question/28281557</em>
<em>brainly.com/question/28262827</em>
Answer:
(a) (-1/4,0)
(b) k = (10-c)/2
Step-by-step explanation:
(a) A point passing through the y-axis is the same as finding the y-intercept.
[Move terms to right-hand side; y = mx + b form]
y = 4x + 1
[Find x, when y = 0]
0 = 4x + 1
-1 = 4x
-1/4 = x
At x = -1/4, y = 0 therefore the point: (-1/4,0) crosses the y-axis.
(b) To find the value of k in (k,10), we need to find x. Given y= 10 x=k c=constant
[Find x by plugging in known values]
Using y = 2x + c,
10 = 2k + c
10 - c = 2k
(10-c)/2 = k