Answer:

Step-by-step explanation:
The point-slope form of an equation of a line:

m - slope

We have the points (-2, 4) and (-6, 10). Substitute:

Answer:
169π
Step-by-step explanation:
circle eq: (x-a)²+(y-b)²=r², where (a,b) is center and r is radius
r²=169
r = ±13
since a radius length must be positive, r = +13, not -13
A of circle: πr²
r = 13
169π
given that the circle eq has r², you could've noticed that you can take the constant in the circle eq and multiply that by π to get the same answer
Answer:
The answer to your question is Angelica 19, her mom = 11
Step-by-step explanation:
Data
Angelica has 8 more than her mother
total number of shoes = 30 pairs
The Number of pairs Angelica has = a = ?
The Number of pairs her mother has = m = ?
Process
1.- Write two equation that help to solve this problem
a = m + 8 Equation l
a + m = 30 Equation ll
2.- Solve the system of equations by substitution
Substitute equation l in equation ll
(m + 8) + m = 30
-Solve for m
m + 8 + m = 30
2m = 30 - 8
2m = 22
m = 22/2
m = 11
3.- Find a
a = 11 + 8
a = 19
4.- Conclusion
Angelica has 19 pairs of shoes and her mom has 11
2b^2 + 81/2 b + 4
basically 2b^2 + 16b + 49/2 b + 4
= (2b^2) + 16b+49/2b) + (4)
= 2b^2 + 81/2 b + 4