The Standard form of the equation of circle is (x+21)² + (y+19)² = 849
<h3>What is Standard form of circle?</h3>
To transform general form to a standard form, you can use completing the square method or you can convert this equation
x² + y² + Dx + Ey + F = 0 to x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
Here, Given: x² + y² + 42x + 38y − 47 = 0
Required: Find the values of h, k, and r using this formula
x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
On comparing we get,
-2h = 42
h = 21
-2k = 38
k = 19
-47 = h² + k² - r²
-47 = 21² + 19² - r²
r² = 849
r = √849
Thus, the Standard form of the equation of circle is (x+21)² + (y+19)² = 849
Learn more about Circle from:
brainly.com/question/11833983
#SPJ1
First simplify it so it would become -1 x^2 over 6 x^5
then you need to simplify the x's so do 5-3 so the final answer is -1 over 6 x^3
Sage is making roasted potatoes for a benefit dinner. The committee gives her money to buy 10 bags of potatoes. Write an equation to help Sage determine how many servings of potatoes she can prepare.
Let's let
n = number of servings
p = grams of potatoes per serving
c = grams of potatoes in each bag
As we can see we should let n = the number of servings be first.Then we use ten and put it with the grams of potatoes per servings.
So

Hope I helped!
Answer:

Step-by-step explanation:
we know that
The length of segment B''C'' is equal to the length of segment BC multiplied by the scale factor
step 1
Find the length of segment BC
the formula to calculate the distance between two points is equal to

we have the points
B(1,-3),C(-3,-3)
substitute the values



The segment B''C'' is equal to the segment BC multiplied by the scale factor
The scale factor is 3
so


substitute
