Answer:
- commutative property
- distributive property
Step-by-step explanation:
The expression
4.7x + 10.4 + 15.3x − 8.4x + 15.6
can be simplified in a few stages. First of all, we use the commutative property of addition to swap terms 2 and 3.
4.7x +15.3x +10.4 -8.4x +15.6
Next, we use the distributive property to factor x from the first two terms.
(4.7 +15.3)x +10.4 -8.4x +15.6
Now we perform addition.
20x +10.4 -8.4x +15.6 . . . . . . . . equivalent expression
2(x+2) = 60
x+2 = 30
x = 28
The correct answer is C
Explained the mistake and correct answer in photo.
Answer:
y = -7/4
Step-by-step explanation:
The missing aspect of this question is shown in the attached image, which is that the letters correspond to vertices of a parallelogram.
A key feature of the parallelogram is that the diagonals bisect each other, therefore:
PT = TR
QT = TS
With this information we can now plug in the equations and solve for the variables x and y.
PT = TR
2x = y+4
y = 2x - 4
QT = TS
x + 2 = y
We now have two equations for the variable y. With this we can solve for x.
2x - 4 = x + 2
x = 6
y = x + 2
y = 6 + 2
y = 8
Once we solved for the variable x, we simply placed that value back into one of the previous equations and solved for y. The results are
x = 6, y = 8.