Answer:
vvvv
Step-by-step explanation:
1. Make it so 1/4 is an eighth so you can subtract it from 5/8.
1/4 x 2 = 2/8
2. Subtract 2/8 from 5/8.
5/8 - 2/8 = 3/8
Daniel ate 2/8s of the left over pie, and there is 3/8s remaining.
Answer:
c) The given expression represents Addition Property of Equality.
Step-by-step explanation:
Here, the given expression is j = k
Now by ADDITION PROPERTY OF EQUALITY:
The property that states that if you add the same number to both sides of an equation, the sides remain equal.
So, <u> if A = B ⇒ A + </u><u>x </u><u> = B + </u><u>x</u>
<u></u>
Now, here given that j = k
If we add the same number 9 on both the sides, the equation remains undisturbed.
⇒ j + 9 = k + 9
Hence, the above expression represents Addition Property of Equality.
Answer: y=4 x=27
Step-by-step explanation: 2y+3=11
-3 -3
2y=8
/2 /2
y=4
2/3x=18
(3) (3)
2x=54
/2 /2
X=27
Given:
Point (7,12) is rotated 1260° counterclockwise about the origin.
To find:
The x-coordinate of the point after this rotation.
Solution:
If a point is rotated 360 degrees then its coordinates remains unchanged.
If a point is rotated 180 counterclockwise about the origin degrees, then
We know that,
After 
rotation the coordinates of points remains same, i.e., (7,12). So, after that (7,12) is rotated 180° counterclockwise about the origin.
The point (7,12) becomes (-7,-12) after rotation of 1260° counterclockwise about the origin.
Therefore, the x-coordinate of the required point is -7.
Answer:
Explicit form: 
Recursive form: 
with 
.
Step-by-step explanation:
The first term is 3 and we are dividing by 3 each time.
Another way to say we are dividing by 3 each time is to say we are multiplying by factors of 1/3.
If the first term is 
and 
is the common ratio then the geometric sequence in explicit form is:
The recursive form for a geometric sequence is 
with 
where is the common ratio and is the first term.
So the recursive form for our sequence is with .
