n² = -35 - 12n
Add 12n and 35 to both sides
n² + 12n + 35 = 0
Find the factors of 35 that add or subtract to positive 12:
Factors of 35: 1, 5, 7, 35
5 and 7 add up to 12
n² + 12n + 35 = 0
Instead of 12n, you can replace it with 7n + 5n because they add up to 12n
n² + 7n + 5n + 35
Factor the equation separately
n(n + 7) + 5(n + 7)
Now factor out the (n + 7)
(n + 7)(n + 5)
Or a subset of the natural numbers.
Answer:
the cost of the bench is $806
Step-by-step explanation:
853 minus 47 is 806
Answer:
a) The equation is y = 6x + 25 since the 25 is the initial fee.
b) We plug in 10 for x. 6 * 10 + 25 = $85.
c) We plug in 7 for x and get 6 * 7 + 25 = $69.
x2+y2−2x−80=0
Write the problem as a mathematical expression.x2+y2−2x−80=0
Add 80 to both sides of the equation. x2+y2−2x= 80 Complete the square for x2− 2x. Tap for more steps...(x−1)2−1 Substitute (x−1)2−1 for x−2x in the equation x2+y2−2x =80 .(x−1)2−1+y2=80 Move −1 to the right side of the equation by adding 1 to both sides.(x−1)2+y2=80+1Add 80 and 1.(x−1)2+y2=81
This is the form of a circle. Use this form to determine the center and radius of the circle.(x−h)2+(y−k)2=2Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin.r=9h=1k=0 The center of the circle is found at (h,k). Center: (1,0)These values represent the important values for graphing and analyzing a circle. Center: (1,0)Radius: 9