First we need to convert the given equation to standard form, only then we can find the center and radius of the circle.
![x^{2} + y^{2} +18x+14y+105=0 \\ \\ x^{2} +18x+ y^{2}+14y=-105 \\ \\ x^{2} +2(x)(9)+ y^{2}+2(y)(7)=-105 \\ \\ x^{2} +2(x)(9)+ 9^{2} + [y^{2}+2(y)(7)+7^{2}] =-105+9^{2}+7^{2} \\ \\ (x+9)^{2}+ (y+7)^{2}=25 ](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%2B18x%2B14y%2B105%3D0%20%5C%5C%20%20%5C%5C%20%0A%20x%5E%7B2%7D%20%2B18x%2B%20y%5E%7B2%7D%2B14y%3D-105%20%5C%5C%20%20%5C%5C%20%0A%20x%5E%7B2%7D%20%2B2%28x%29%289%29%2B%20y%5E%7B2%7D%2B2%28y%29%287%29%3D-105%20%5C%5C%20%20%5C%5C%20%0Ax%5E%7B2%7D%20%2B2%28x%29%289%29%2B%209%5E%7B2%7D%20%2B%20%5By%5E%7B2%7D%2B2%28y%29%287%29%2B7%5E%7B2%7D%5D%20%20%3D-105%2B9%5E%7B2%7D%2B7%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%0A%20%28x%2B9%29%5E%7B2%7D%2B%20%28y%2B7%29%5E%7B2%7D%3D25%20%20%0A%20%20)
The standard equation of circle is:
with center (a,b) and radius = r
Comparing our equation to above equation, we can write
Center of circle is (-9, -7) and radius of the given circle is 5
Based on the markdowns and the number of each of the plants purchased, the amount saved is <u>$9.06</u>
Potted Begonias cost $6.57 when discounted by 27%. Their cost must be:
<em>Discounted cost = Original cost x (1 - Discount)</em>
6.57 = Original x (1 - 27%)
Original = 6.57 / 0.73
Original = $9.00
The savings here are therefore:
= 2 x (9 - 6.57)
= $4.86
The original cost of the Tomato seedlings is:
= 2.60 / ( 1 - 35%)
= $4.00
Savings would be:
= 3 x (4 - 2.60)
= $4.20
Total savings are therefore:
= 4.86 + 4.20
= $9.06
In conclusion, $9.06 was saved.
<em>Find out more on this at brainly.com/question/25748983. </em>
Answer:
£20
Step-by-step explanation:
1-1/4=3/4
3/4=15
1
1*15/3/4
15*4/3=20
Answer:I think the answer is 5/12.
Step-by-step explanation:
Sorry if I am wrong. :) but it should be correct.
