Answer:
Marion bought 6 frog lures and 8 lizard fishing lures.
Step-by-step explanation:
Let
represent frog lures and
represent lizard lures.
The total packages Marion bought is

If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then

We make
the subject in equation 1 and put it into equation 2 to get;

We put equation 3 into equation 2 to get;


We expand the bracket to get;



We put
into equation 3 to get;


Therefore Marion bought 6 frog lures and 8 lizard fishing lures.
X = -3.
The distance from p(-9, 0, 0) is
d = sqrt((x+9)^2 + y^2 + z^2)
The distance from q(3,0,0) is
d = sqrt((x-3)^2 + y^2 + z^2)
Let's set them equal to each other.
sqrt((x+9)^2 + y^2 + z^2) = sqrt((x-3)^2 + y^2 + z^2)
Square both sides, then simplify
(x+9)^2 + y^2 + z^2 = (x-3)^2 + y^2 + z^2
x^2 + 18x + 81 + y^2 + z^2 = x^2 - 6x + 9 + y^2 + z^2
18x + 81 = - 6x + 9
24x + 81 = 9
24x = -72
x = -3
So the desired equation is x = -3 which defines a plane.
Answer:
y=3x+2
Step-by-step explanation:
Your answer is 21 for this one.
Answer: 48
Step-by-step explanation: