Answer:
(x - 3)² + (y + 5)² = 10
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
Here (h, k) = (3, - 5 ) , then
(x - 3)² + (y - (- 5) )² = r² , that is
(x - 3)² + (y + 5)² = r²
r is the distance from the centre to a point on the line
Calculate r using the distance formula
r =
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)
r =
=
=
= ⇒ r² = ( )² = 10
(x - 3)² + (y + 5)² = 10 ← equation of circle
Answer:
a.300th customer
b.$180
Step-by-step explanation:
Answer:
0.0520833333 is the answer
Answer:
-36x z^2 ( 10 y^2 z^2) ^ 1/3
Step-by-step explanation:
16. -9 ( 640 x^3 y^2 z^8) ^ 1/3
^1/3 is the cubed root
First I will separate
(ab)^y = a^y * b^y
-9 ( 640 ) ^ 1/3 x^3 ^ 1/3 y^2 ^ 1/3 z^8 ^ 1/3
Then we know a^b^c = a^(b*c)
-9 (64) ^ 1/3 (10)^ 1/3 x^(3 * 1/3) y^(2 *1/3) z^(8* 1/3)
Simplify
-9 (64) ^ 1/3 (10)^ 1/3 x^(1) y^(2 /3) z^(8/3)
-9* 4 (10)^ 1/3 x y^(2 /3) z^(8/3)
When the exponent is greater than 1, we can take out the whole number
z^ 8/3 = x^2 * x^2/3 for example
-9 *4 (10)^ 1/3 x y^(2 /3) z^2 z^(2/3)
Move everything to the left without fractional exponents
-36x z^2 ( 10 y^2 z^2) ^ 1/3
Answer:
4 sophomore girls .
Step-by-step explanation:
If a student's gender and class are to be independent when a student is selected at random, two conditions must be met:
n° boys = n° girls
n° freshmen = n° sophomore
Currently, there are 10 boys and 6 girls, thus 4 girls must join.
Currently, there are 10 freshmen and 6 sophomores, thus 4 sophomores must join.
Therefore, 4 sophomore girls must join.