Answer:
see below for a graph
Step-by-step explanation:
Completing the square for x and y terms can help you put this in the standard form.
(x^2 +10x) +(y^2 +6y) = -18
(x^2 +10x +25) +(y^2 +6x +9) = -18 +25 +9 . . . . add square of half linear coefficient
(x +5)^2 +(y +3)^2 = 16 . . . . . . . circle centered at (-5, -3) with radius 4
Answer:
420
Step-by-step explanation:
She uses 60 beads per bracelet and is making 7 bracelets
7*60 = 420 beads total
Answer:
105 feet or inches
Step-by-step explanation:
First we find the surface area of the base, (or the square.)
That is 25.
Next we find the areas of the triangle which is:
×height
The area of one triangle is 20, so we multiply it by 4.
That is 80.
Finally, we add both surface area to find the total surface area.
That is 80 + 25 = 105
Hope that helped!
Answer:

Step-by-step explanation:
Given


Required
Determine the amount of blue paint when Red = 2
To do this, we make use of the following equivalent ratios

When
and 

When Red = 2

Equate both ratios

Convert to division

Convert fractions to improper fraction



Make Blue the subject



(I'm going to translate y' to dy/dx as it makes it easier to read for me, you could change it back if you wanted.)



(separate the variables)


(by letting c = ln k and using log laws)

(raise everything to power e)

(applying boundary conditions)
Particular solution: