Answer:
Step-by-step explanation:
y-5=3(x+2)
y-5=3x+6
y-5-6=3x+6-6
y-1=3x
Answer:
x^2 + y^2 + 16x + 6y + 9 = 0
Step-by-step explanation:
Using the formula for equation of a circle
(x - a)^2 + (y + b)^2 = r^2
(a, b) - the center
r - radius of the circle
Inserting the values given in the question
(-8,3) and r = 8
a - -8
b - 3
r - 8
[ x -(-8)]^2 + (y+3)^2 = 8^2
(x + 8)^2 + (y + 3)^2 = 8^2
Solving the brackets
( x + 8)(x + 8) + (y +3)(y+3) = 64
x^2 + 16x + 64 + y^2 + 6y + 9 = 64
Rearranging algebrally,.
x^2 + y^2 + 16x + 6y + 9+64 - 64 = 0
Bringing in 64, thereby changing the + sign to -
Therefore, the equation of the circle =
x^2 + y^2 + 16x + 6y + 9 = 0
Answer:
1.2 kg
Step-by-step explanation:
We need 400 grams of potatoes for 4 people. That means each person will require 400 / 4 = 100 grams.
Now, we have 12 people, so the total number of grams needed will be:
(100 g/person) * (12 people) = 1200 grams
However, we want the answer in kilograms. There are 1000 grams in a kilogram, so divide 1200 by 1000:
1200 / 1000 = 1.2 kg
The answer is 1.2 kg.
Answer:
E
Step-by-step explanation:
\sqrt 6 is an irrational number, as it cannot be written as the ratio of 2 numbers.
It is also a real number, as it does not include the square root of a negative number.
Therefore, E is the correct option.
