well, you can figure it out by substituting the x and y values into the equation and then solving
4=2(4)-4
4=8-4
4=4 so yes the point (4,4) does lie on the line y=2x-4
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: ![\left(\frac{3}{4} \cdot \frac{4}{3}\right)+7=8](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B3%7D%7B4%7D%20%5Ccdot%20%5Cfrac%7B4%7D%7B3%7D%5Cright%29%2B7%3D8)
Inverse of
is
. Their product is 1.
![$\frac{3}{4} \cdot \frac{4}{3}=1](https://tex.z-dn.net/?f=%24%5Cfrac%7B3%7D%7B4%7D%20%5Ccdot%20%5Cfrac%7B4%7D%7B3%7D%3D1)
This equation uses the inverse property of multiplication.
Option B: ![\left(-\frac{7}{8}+\frac{7}{8}\right)+4=4](https://tex.z-dn.net/?f=%5Cleft%28-%5Cfrac%7B7%7D%7B8%7D%2B%5Cfrac%7B7%7D%7B8%7D%5Cright%29%2B4%3D4)
Inverse of
is ![\frac{8}{-7}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B-7%7D)
So, it is not true equation.
Option C: ![(-5 \cdot 0)-9=-9](https://tex.z-dn.net/?f=%28-5%20%5Ccdot%200%29-9%3D-9)
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
.
Answer:
the expanded form of (a^2-b^2)^2 is a⁴-b⁴