Given:
Equations using properties.
To find:
The equation which use the inverse property of multiplication.
Solution:
<u>Inverse property of multiplication:</u>
<em>The product of any number and its reciprocal is always 1.</em>
Let us select the option which uses inverse property of multiplication.
Option A: 
Inverse of
is
. Their product is 1.

This equation uses the inverse property of multiplication.
Option B: 
Inverse of
is 
So, it is not true equation.
Option C: 
Inverse of
is
.
So, it is not true equation.
Option D: ![\left[7 \cdot\left(\frac{5}{7}-\frac{4}{7}\right)\right]+8=9](https://tex.z-dn.net/?f=%5Cleft%5B7%20%5Ccdot%5Cleft%28%5Cfrac%7B5%7D%7B7%7D-%5Cfrac%7B4%7D%7B7%7D%5Cright%29%5Cright%5D%2B8%3D9)
Here also inverse property is not used.
So, it is not true equation.
Hence the equation use the inverse property of multiplication is
.
75/8 or 9.375
mathway is a good helper sometimes
Answer:
Step-by-step explanation:
From the graphs attached,
Let the coordinates of the two points given on the black line in the first graph are (-4, 2) and (-1, 10).
When these points have been rotated by 90° about the origin,
Rule for the rotation will be,
(x, y) → (y, -x)
Therefore, coordinates of the image points will be,
(-4, 2) → (2, 4)
(-1, 10) → (10, 1)
Therefore, red line given given in graph (1) and black line (After rotaion of 90° clockwise) in graph (2) will be same.
There would be 5184 ways in which each subject books can be selected.
<u>Explanation:</u>
Number of geography books = 5
Number of chemistry books = 4
Number of Science books = 7
Different ways of selecting geography books = 5!
= 5 X 4 X 3 X 2 X 1
= 120
Different ways of selecting chemistry books = 4!
= 4 X 3 X 2 X 1
= 24
Different ways of selecting Science books = 7!
= 7 X 6 X 5 X 4 X 3 X 2 X 1
= 5040
Total different possible ways they can select them = 120 + 24 + 5040
= 5184