We are given original equation:
We need to find the enter and radius of a circle using the completing the square method.
The steps are as following :
Step 1 [original equation]: x^2 − 10x + y^2 + 12y = 20 .
Step 2 [group like terms]: (x^2 − 10x) + (y^2 + 12y) = 20
Step 3 [complete the quadratics]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 20 + (25 + 36).
Step 4 [simplify the equation]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 64.
Step 5 [factor each quadratic]: (x − 5)^2 + (y + 6)^2 = 8^2
Step 6 [identify the center and radius]: Center = (5, −6) Radius = 8.
<h3>Step 6 is incorrect.</h3><h3>The center should be (5,-6).</h3><h3> Replace − 5 with + 5 and replace + 6 with − 6.</h3>
You can make 22 batches of chocolate chip cookies. And for the second one you can make about 7 batches of lemon cookies
Answer:
2/7x +3=9
x=21
Step-by-step explanation:
Let the unknown be x.
Take 3 to the other side so: 2/7 multiplied by x= 6
Divide 6 by 2/7 to get the answer;
Therefore x=21
Sub back into equation to check answer.
11.05 inches.
EXPLANATION:
Firstly, lets see the unit rate for how many inches per minute.
5.2 divided by 8 is 0.65 inches every minute.
Now since there is 17 mins, simply do 0.65 inches per min x 17 mins.
11.05 inches.
Hope this helps!
If you would like to know how many minutes were spent on language arts, you can calculate this using the following steps:
60% of 40 minutes = 60% * 40 = 60/100 * 40 = 24 minutes
The correct result would be: 24 minutes were spent on language arts.