Answer:
A
Step-by-step explanation:
Under a rotation about the origin of 180°
a point (x, y ) → (- x, - y )
That is the sign of the x- coordinate and the y- coordinate have changed.
Answer:30c-10d
Step-by-step explanation:
X + 9y = 5 .....multiply by -1
4x + 9y = -7
-----------------
-x - 9y = -5 (result of multiplying by -1)
4x + 9y = -7
----------------add
3x = -12
x = -12/3
x = -4
x = 5 - 9y
-4 = 5 - 9y
-4 - 5 = - 9y
-9 = - 9y
-9/-9 = y
1 = y
solution is (-4,1)
====================
3x = 5y - 9
-3x = -2y + 3 ....I rearranged this equation from 2y = 3x + 3
----------------add
0 = 3y - 6
6 = 3y
6/3 = y
2 = y
3x = 5y - 9
3x = 5(2) - 9
3x = 10 - 9
3x = 1
x = 1/3
solution is (1/3,2)
====================
10x - 3y = 5....rearranged from 10x - 5 = 3y
2x - 3y = 1...multiply by -1
---------------
10x - 3y = 5
-2x + 3y = -1 (result of multiplying by -1)
---------------add
8x = 4
x = 4/8
x = 1/2
10x - 5 = 3y
10(1/2) - 5 = 3y
5 - 5 = 3y
0 = 3y
0 = y
solution is (1/2,0)
======================
-6x - 4y = 10....multiply by -2
-12x - y = 13
----------------
12x + 8y = -20 (result of multiplying by -2)
-12x - y = 13
-----------------add
7y = - 7
y = -7/7
y = -1
-6x - 4y = 10
-6x - 4(-1) = 10
-6x + 4 = 10
-6x = 10 - 4
-6x = 6
x = -6/6
x = -1
solution is (-1,-1)
Answer:
The number of days are independent and the total number of minutes are dependent.
The required model for the situation is 
The table is shown below:
Step-by-step explanation:
Consider the provided information.
Joshua spends 25 minutes of each day reading. Let d be the number of days that he reads, and let m represent the total minutes of reading.
We need to determine which variable is independent and which is dependent.
Here, the number of days are independent and the total number of minutes are dependent.
If he spends 25 minutes each day. So the total number of minutes in d days are:
The required model for the situation is
Now make the table which showing the number of minutes spent reading over 7 days.
Substitute the value of d from 1 to 7 in
Number of days(D) Minutes(M)
1 25
2 50
3 75
4 100
5 125
6 150
7 175
