Answer:
A. T–4, 3(x, y)
Step-by-step explanation:
We are given that the transformation changes the rectangle ABCD to the rectangle A'B'C'D'.
The changes in the co-ordinates are given by,
A = (-6,-2) = (-6,-2) + (-4,3) = (-10,1)
B = (-3,-2) = (-3,-2) + (-4,3) = (-7,-1)
C = (-3,-6) = (-3,-6) + (-4,3) = (-7,-3)
D = (-6,-6) = (-6,-6) + (-4,3) = (-10,-3)
So, we see that the rectangle ABCD is transformed by the co-ordinates (-4,3).
That is, it is translated 4 units to the left and 3 units upwards.
Thus, option A is correct.
Answer:
x = -3
y = 0
Step-by-step explanation:
<u>Given</u><u> </u><u>equations</u><u> </u><u>:</u><u>-</u><u> </u>
<u>-x</u><u> </u><u>+</u><u> </u><u>2</u><u>y</u><u> </u><u>=</u><u> </u><u>3</u><u> </u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u> </u><u>(</u><u> </u><u>i</u><u> </u><u>)</u>
<u>2</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>y</u><u> </u><u>=</u><u> </u><u>-</u><u>6</u><u> </u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u> </u><u>(</u><u> </u><u>ii</u><u> </u><u>)</u>
<u>From</u><u> </u><u>(</u><u> </u><u>i</u><u> </u><u>)</u><u> </u><u> </u>
<u>-x</u><u> </u><u>+</u><u> </u><u>2</u><u>y</u><u> </u><u>=</u><u> </u><u>3</u><u> </u>
<u>-x</u><u> </u><u>=</u><u> </u><u>3</u><u> </u><u>-</u><u> </u><u>2</u><u>y</u><u> </u>
<u>x</u><u> </u><u>=</u><u> </u><u>2</u><u>y</u><u> </u><u>-</u><u> </u><u>3</u><u> </u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u> </u><u>(</u><u> </u><u>iii</u><u> </u><u>)</u>
<u>From</u><u> </u><u>(</u><u> </u><u>ii</u><u> </u><u>)</u><u> </u>
<u>2</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>y</u><u> </u><u>=</u><u> </u><u>-</u><u>6</u><u> </u>
<u>2</u><u>x</u><u> </u><u>=</u><u> </u><u>-</u><u>6</u><u> </u><u>+</u><u> </u><u>3</u><u>y</u><u> </u>
<u>
</u>
<u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u> </u><u>(</u><u> </u><u>iv</u><u> </u><u>)</u>
<u>Equating</u><u> </u><u>(</u><u> </u><u>iii</u><u> </u><u>)</u><u> </u><u>and</u><u> </u><u>(</u><u> </u><u>iv</u><u> </u><u>)</u>
<u>x</u><u> </u><u>=</u><u> </u><u>x</u><u> </u>
<u>
</u>
4y - 6 = -6 + 3y
4y - 3y = -6 + 6
y = 0
Putting value of y in ( iii )
x = 2y - 3
x = 2 ( 0 ) - 3
x = -3
Answer:

Step-by-step explanation:
Let the total number of Newspapers be x
Number of newspapers delivered in first hour of his route=
of x
Total number of newspapers delivered in first hour=
x
Number of newspapers left= x-
Number of newspapers left=
Number of newspapers left=
Number of newspapers delivered in second hour=4/5 of
Number of newspapers delivered in second hour=
Fraction of newspapers delivered in second hour is=
Hence, the correct answer is 
Answer:
6 3/7
Step-by-step explanation:
Remember, the mean is the average of the number
Meaning that you have to add up all the numbers then divide them by the amount of numbers there are.
3, 5, 6, 7, 9, 6, 8
(3 + 5 + 6 + 7 + 9 + 6 + 8) / 7
44 / 7
6 3/7
Part (a)
<h3>Answer:
2(2.4+w) = 14.2</h3>
--------------
Explanation:
L = 2.4 = length
W = unknown width
The perimeter of any rectangle is P = 2(L+W)
We replace L with 2.4, and replace P with 14.2 to get 14.2 = 2(2.4+w) which is equivalent to 2(2.4+w) = 14.2
========================================================
Part (b)
<h3>Answer:
w = 4.7</h3>
--------------
Explanation:
We'll solve the equation we set up in part (a)
2(2.4+w) = 14.2
2(2.4)+2(w) = 14.2
4.8+2w = 14.2
2w = 14.2-4.8
2w = 9.4
w = 9.4/2
w = 4.7
The width must be 4.7 cm.