Answer:
![\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}](https://tex.z-dn.net/?f=%5Chuge%20%5Cfbox%20%5Cpink%20%7BA%7D%5Chuge%20%5Cfbox%20%5Cgreen%20%7Bn%7D%5Chuge%20%5Cfbox%20%5Cblue%20%7Bs%7D%5Chuge%20%5Cfbox%20%5Cred%20%7Bw%7D%5Chuge%20%5Cfbox%20%5Cpurple%20%7Be%7D%5Chuge%20%5Cfbox%20%5Corange%20%7Br%7D)
![{9x}^{2} - 25](https://tex.z-dn.net/?f=%20%7B9x%7D%5E%7B2%7D%20%20-%2025)
✏ Degree is the highest value of the exponent in the polynomial. In this polynomial <u>2</u><u> </u><u>is </u><u>the </u><u>degree </u><u>of </u><u>the </u><u>polynomial</u><u>.</u>
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
![\huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}](https://tex.z-dn.net/?f=%20%5Chuge%5Cblue%7B%20%5Cmid%7B%20%5Cunderline%7B%20%5Coverline%7B%20%5Ctt%20%EA%A7%81%E2%9D%A3%20%CA%80%E1%B4%80%C9%AA%C9%B4%CA%99%E1%B4%8F%E1%B4%A1%CB%A2%E1%B5%83%CB%A1%E1%B5%972%C2%B22%C2%B2%20%E0%BF%90%20%7D%7D%20%5Cmid%7D%7D)
Answer:
The answer to your question is (x + 7)² + (y - 5)² = 88
Step-by-step explanation:
Equation
x² + 14x + y² - 10y = 14
Complete perfect trinomial squares
x² + 14x + (7)² + y² - 10y + (5)² = 14 + (7)² + (5)²
Simplify
x² + 14x + (7)² + y² - 10y + (5)² = 14 + 49 + 25
x² + 14x + (7)² + y² - 10y + (5)² = 88
Factor
(x + 7)² + (y - 5)² = 88 This is the equation in the form
center-radius
Answer:
![x = 15](https://tex.z-dn.net/?f=x%20%3D%20%2015)
![y = 25](https://tex.z-dn.net/?f=y%20%3D%20%2025)
Step-by-step explanation:
Given
See attachment for MNPQ and RSTU
Required
Find x and y
To solve this question, we make use of equivalent ratios of corresponding side lengths.
The ratio of corresponding sides are:
![MN : RS](https://tex.z-dn.net/?f=MN%20%3A%20RS)
![NP : ST](https://tex.z-dn.net/?f=NP%20%3A%20ST)
![PQ : TU](https://tex.z-dn.net/?f=PQ%20%3A%20TU)
![MQ : RU](https://tex.z-dn.net/?f=MQ%20%3A%20RU)
From the attachment, we have:
![MN : RS \to 18 : 30](https://tex.z-dn.net/?f=MN%20%3A%20RS%20%5Cto%2018%20%3A%2030)
![NP : ST \to x : 25](https://tex.z-dn.net/?f=NP%20%3A%20ST%20%5Cto%20x%20%3A%2025)
![PQ : TU \to 15 : y](https://tex.z-dn.net/?f=PQ%20%3A%20TU%20%5Cto%2015%20%3A%20y)
To solve for x, we equate
and ![NP : ST](https://tex.z-dn.net/?f=NP%20%3A%20ST)
![18 : 30 = x : 25](https://tex.z-dn.net/?f=18%20%3A%2030%20%3D%20x%20%3A%2025)
Express as fraction
![\frac{18 }{ 30 }= \frac{x }{ 25}](https://tex.z-dn.net/?f=%5Cfrac%7B18%20%7D%7B%2030%20%7D%3D%20%5Cfrac%7Bx%20%7D%7B%2025%7D)
Make x the subject
![x = 25 * \frac{18 }{ 30 }](https://tex.z-dn.net/?f=x%20%3D%20%2025%20%2A%20%5Cfrac%7B18%20%7D%7B%2030%20%7D)
![x = \frac{25 * 18 }{ 30 }](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B25%20%2A%2018%20%7D%7B%2030%20%7D)
![x = \frac{450}{ 30 }](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B450%7D%7B%2030%20%7D)
![x = 15](https://tex.z-dn.net/?f=x%20%3D%20%2015)
To solve for y, we equate
and ![PQ : TU](https://tex.z-dn.net/?f=PQ%20%3A%20TU)
![18 : 30 = 15 : y](https://tex.z-dn.net/?f=18%20%3A%2030%20%3D%2015%20%3A%20y)
Express as fraction
![\frac{18 }{ 30 }= \frac{15 }{ y}](https://tex.z-dn.net/?f=%5Cfrac%7B18%20%7D%7B%2030%20%7D%3D%20%5Cfrac%7B15%20%7D%7B%20y%7D)
Make y the subject
![y = 15 * \frac{30 }{ 18 }](https://tex.z-dn.net/?f=y%20%3D%2015%20%2A%20%5Cfrac%7B30%20%7D%7B%2018%20%7D)
![y = \frac{15 *30}{ 18 }](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B15%20%2A30%7D%7B%2018%20%7D)
![y = \frac{450}{ 18 }](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B450%7D%7B%2018%20%7D)
![y = 25](https://tex.z-dn.net/?f=y%20%3D%20%2025)