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:
1. Distributive Property
2. Addition Property of Equality
3. Multiplicative Property of Equality
Step-by-step explanation:
1. The 3 is multiplied by each number in the parenthesis
3*10=30
3*2=6
So 3*(10-2x)=30-6x
2. The 30 is subtracted from both sides
30-6x-30 = -6x
6-30 = -24
30-6x-30=6-30
So -6x=-24
3. The -6 is divided from both sides
-6x/-6 = x
-24/-6 = 4
-6x/-6 = -24/-6
So x=4
1/64
1/root3 64
1/4
You first deal with the negative and put the 64 below
Then you find the cube root of 64 which equals 4
Answer:
x = 3 and y = 1
Step-by-step explanation:
The given equations are :
6x + 14y = 32 ...(1)
6x - 14y = 4 .....(2)
Add equation (1) and (2) :
6x + 14y + 6x - 14y = 32 + 4
12x = 36
x = 3
Put the value of x in equation (1)
6(3) + 14y = 32
18 + 14y = 32
14y = 32-18
14y = 14
y = 1
Hence, the value of x is 3 and y is 1.
13. a^2+7^2=15^2
a^2+49=225
-49=-49
a^2=176
a=13.266
14. 4 more girls chose soccer over softball.
15. I think it's a negative correlation or you have to find dots that can make a line
16. 3
