Answer:
{x,y} = {2,-2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 7x + 3y = 8
[2] 3x - 4y = 14
Graphic Representation of the Equations :
3y + 7x = 8 -4y + 3x = 14
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 4y + 14
[2] x = 4y/3 + 14/3
// Plug this in for variable x in equation [1]
[1] 7•(4y/3+14/3) + 3y = 8
[1] 37y/3 = -74/3
[1] 37y = -74
// Solve equation [1] for the variable y
[1] 37y = - 74
[1] y = - 2
// By now we know this much :
x = 4y/3+14/3
y = -2
// Use the y value to solve for x
x = (4/3)(-2)+14/3 = 2
Solution :
{x,y} = {2,-2}
Answer:
Part A: A control group would add in a datapoint that didn't receive any medicine, letting you know if the medicines actually work.
Part B: Split evenly. This makes sure you have enough data for each group.
Part C: By breed. Which sanctuary they come from wouldn't seriously impact their anatomy like which breed they are would.
Answer:
$9.25
Step-by-step explanation:
$18.50 divided by 2 equals $9.25.
Using the picture:
Between (-3, -4) and (5, -4) is:
The difference is in the x units: 5 - (-3) = 5 + 3 = 8
Between (5, 2) and (5, -4) is:
The difference is in the y units: 2 - (-4) = 2 + 4 = 6
We know the shape is a right angled triangle:
By applying Pythagoras' Theorem:
let the hypotenuse be x:
x² = 6² + 8²
x² = 36 + 64
x² = 100
Take square root of both sides
√x² = √100
x = 10
Distance between the 2 points = 10 units.
Option D.
I guess the answer is 48 cup cakes