. Nine months after you miss a student loan payment, your loans will enter into default status. If you have private loans, there's this thing called no “grace period” of delinquency, where your loans are immediately in default the day after your payment was due.
A mathematical pair that is <u>equivalent</u> to the given expression
is -20 + 48i.
<u>Given the following expression:</u>
To determine a mathematical pair that is equivalent to the given expression:
In this exercise, you're required to solve for a mathematical expression that is equivalent to the given expression. Thus, we would simplify the expression by applying the perfect-square trinomial.
<h3>The perfect square trinomial.</h3>
Mathematically, the perfect-square trinomial is given by this expression:
![(a+b)^2=a^2+2ab +b^2](https://tex.z-dn.net/?f=%28a%2Bb%29%5E2%3Da%5E2%2B2ab%20%2Bb%5E2)
Comparing the expressions, we have:
Substituting the values, we have:
![(4+6i)^2=4^2+2(4)(6i) +(6i)^2\\\\(4+6i)^2=16+48i +36i^2](https://tex.z-dn.net/?f=%284%2B6i%29%5E2%3D4%5E2%2B2%284%29%286i%29%20%2B%286i%29%5E2%5C%5C%5C%5C%284%2B6i%29%5E2%3D16%2B48i%20%2B36i%5E2)
<u>Note:</u>
= -1
Simplifying further, we have:
![(4+6i)^2=16+48i +36(-1)\\\\(4+6i)^2=16+48i -36\\\\(4+6i)^2=-20+48i](https://tex.z-dn.net/?f=%284%2B6i%29%5E2%3D16%2B48i%20%2B36%28-1%29%5C%5C%5C%5C%284%2B6i%29%5E2%3D16%2B48i%20-36%5C%5C%5C%5C%284%2B6i%29%5E2%3D-20%2B48i)
Read more on mathematical pairs here: brainly.com/question/13170908
Triangle GED and triangle DEH are similar triangles with a common side length DE
The value of x is 24
<h3>How to calculate the value of x</h3>
To calculate x, we make use of the following equivalent ratio
![GD : DH = EG : EH](https://tex.z-dn.net/?f=GD%20%3A%20DH%20%3D%20EG%20%3A%20EH)
Substitute known values
![x + 4 : 35= 44.8 : 56](https://tex.z-dn.net/?f=x%20%2B%204%20%3A%2035%3D%2044.8%20%3A%2056)
Express the ratio as fraction
![\frac{x + 4}{35}= \frac{44.8}{ 56}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%204%7D%7B35%7D%3D%20%5Cfrac%7B44.8%7D%7B%2056%7D)
Evaluate the quotient
![\frac{x + 4}{35}= 0.8](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%204%7D%7B35%7D%3D%200.8)
Multiply both sides by 35
![x + 4= 28](https://tex.z-dn.net/?f=x%20%2B%204%3D%2028)
Subtract 4 from both sides
![x= 24](https://tex.z-dn.net/?f=x%3D%2024)
Hence, the value of x is 24
Read more about similar triangles at:
brainly.com/question/12687306
D is the closest one, but technically you need to do (b/n)t
Answer:
Moreover, the U.S Census shows that the 2010 estimated Hispanic population in Texas was 9.7 million and increased to 11.1 million in 2017 with a calculated 18% change from the 2010 Hispanic population estimate.
Hope this Helps!!!