Answer:
14/1.8 = x/4
Step-by-step explanation:
Using similar triangles,
height of man/length of man's shadow = height of tree/length of tree's shadow
1.8/4 = x/14
x/14 = 1.8/4
If we cross-multiply, we have
1.8 × 14 = x × 4
dividing both sides by 4 and 1.8,we have
14/4 = x/1.8
x/1.8 = 14/4
So, the two expressions we have are
x/14 = 1.8/4 and x/1.8 = 14/4.
So, the answer is 14/1.8 = x/4 since the product 1.8 × 14 = x × 4 cannot be expressed in the given ratio.
It's 1 over 4 to the 2nd or 1 over 16
The equation is
![\displaystyle{ x^2= \frac{9}{16}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20x%5E2%3D%20%5Cfrac%7B9%7D%7B16%7D%20)
. We can rewrite the equation as:
![\displaystyle{ x^2= (\frac{3}{4})^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20x%5E2%3D%20%28%5Cfrac%7B3%7D%7B4%7D%29%5E2)
.
Our next step here is to take the square root of both sides, remembering that
![\sqrt{x^2}=|x|](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%5E2%7D%3D%7Cx%7C)
.
Thus, we have
![\displaystyle{ |x|= \frac{3}{4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20%7Cx%7C%3D%20%5Cfrac%7B3%7D%7B4%7D)
. Our final step is solving the absolute value equation, which yields:
![\displaystyle{ x= \frac{3}{4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20x%3D%20%5Cfrac%7B3%7D%7B4%7D)
or
![\displaystyle{ x= -\frac{3}{4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20x%3D%20-%5Cfrac%7B3%7D%7B4%7D)
.
Solution set: {
![-\frac{3}{4}, \frac{3}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B4%7D%2C%20%5Cfrac%7B3%7D%7B4%7D)
}
Answer:
B. subtraction property of inequality
Step-by-step explanation: