Answer:
divide by 2
Step-by-step explanation:
to go to 12 to 6 , you will have to divide by 2
12/2 = 6
12 and 6 are on the same side in both triangles , that is why I used those two numbers to figure out the scale factor
Step-by-step explanation:
2x - 3y - 2z = 4
[2] x + 3y + 2z = -7
[3] -4x - 4y - 2z = 10
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -3y - 2z - 7
// Plug this in for variable x in equation [1]
[1] 2•(-3y-2z-7) - 3y - 2z = 4
[1] - 9y - 6z = 18
// Plug this in for variable x in equation [3]
[3] -4•(-3y-2z-7) - 4y - 2z = 10
[3] 8y + 6z = -18
// Solve equation [3] for the variable z
[3] 6z = -8y - 18
[3] z = -4y/3 - 3
// Plug this in for variable z in equation [1]
[1] - 9y - 6•(-4y/3-3) = 18
[1] - y = 0
// Solve equation [1] for the variable y
[1] y = 0
// By now we know this much :
x = -3y-2z-7
y = 0
z = -4y/3-3
// Use the y value to solve for z
z = -(4/3)(0)-3 = -3
// Use the y and z values to solve for x
x = -3(0)-2(-3)-7 = -1
Solution :
{x,y,z} = {-1,0,-3}
That's not a linear system, but you have an awesome school system for giving you this problem.

Multiply by 6xy to clear the fractions.

That's a second degree equation, also known as a conic. That one happens to be a hyperbola.


Let's clear the fractions from the second equation, multiplying out common denominator xy:


We are being asked to find the meet of two hyperbolas, so we expect two answers, a quadratic equation.
Substituting,





We have to rule out x=0 because it's in the denominator.


Answer: (44/19, 33/20)
We are given that we have $25 to pay for 6 fishing lures.
We can make an equality for this as follows:
Suppose price of one fishing lure is x dollars.
So we will use unitary method to find price of 6 fishing lures.
Price of 6 fishing lures = 6 * ( price of one fishing lure) = 6* x = 6x
Now we only have 25 dollars with us, so the price of 6 fishing lures has to be less than or equal to 25 dollars.
So creating an inequality,

Now in order to find price for one fishing lure, we have to solve this for x.
Dividing both sides by 6 we have,

Converting to decimal,

Answer : The price of one fishing lure must be less than or equal to $4.167
Answer:
See explanation
Step-by-step explanation:
cos62˚ ≈ 0.469
0.469 x 12 = 5.628