Answer:
(x - 10)² + (y + 9)² = 20
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
The radius is the distance from the centre to a point on the circle
To calculate r use the distance formula
r = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (10, - 9) and (x₂, y₂ ) = (12, - 13)
r = 
= 
= 
, hence
(x - 10)² + (y - (- 9))² = ()², that is
(x - 10)² + (y + 9)² = 20
Answer:
x = 3
Step-by-step explanation:
-6x - 20 = -2x + 4 (1 - 3x)
Distributive property
-6x - 20 = -2x + 4 - 12x
Combine like terms
-6x - 20 = -14x + 4
Add 14x to both sides
-6x - 20 + 14x = -14x + 4 + 14x
Simplifying
8x - 20 = 4
Add 20 to both sides
8x = 24
Divide both sides by 8
x = 3
Answer:
please give more information!
Step-by-step explanation:
Answer:
1. x = 2 y = 1
2. x = 17 y = 29/3
Step-by-step explanation:
1. Use elimination
-4x+3y=-5
4x-5y=3
x's cancel, so add them
-2y = -2
y = 1
substitute
4x -5(1) = 3
4x - 5 = 3
4x = 8
x = 2
2. Use elimination
2x+3y=36
10x-6y=12
Multiply top equasion by 5
10x+30y = 360
10x-6y = 12
x's cancel so subract
36y = 348
y = 29/3
Substitute
2x+3(2/3)=36
2x+2 = 36
2x = 34
x = 17
A) the growth is 56% per week. The 1.56 is multiplying the weight of the pumpkin now by the 56% to get the total weight after the 56% increase.
B) Replace P with 80 and solve for n:
80 = 25(1.56)^n
Divide each side by 25:
80/25 = 1.56^n / 25
3.2 = 1.56^n
Take the natural logarithm of both sides:
ln(3.2) = ln(1.56^n)
Remove the exponent:
ln(3.2) = n(ln(1.56)
Divide both sides by ln(1.56)
n = ln(3.2) / ln(1.56)
n = 2.6 weeks, round to 3 weeks.
C) Change 1.56 to 1.32 and redo the same calculation from B.
80 = 25(1.32)^n
80/25 = 1.32^n /25
3.2 = 1.32^n
ln(3.2) = ln(1.32^n)
ln(3.2) = n(ln(1.32)
n = ln(3.2) / ln(132)
n = 4.2, round to 4 weeks.
