Answer:

Step-by-step explanation:
We are given this system of equations:

We use elimination to solve to eliminate one of the variables, so we only have to work with one at a time. We do this by adding and subtracting the equations, and sometimes multiplying the entire equation by a number.
Notice how both equations have a 4x. This means they can easily be eliminated, without multiplying the equations by another number first. Let's subtract the 2 equations.

The 4x will cancel because 4x-4x=0.

Since there are back to back negative signs, they become addition signs.


We are solving for y , so we must isolate the variable. It is being multiplied by 3 and the inverse of multiplication is division. Divide both sides by 3.

Now we can substitute 3 in for y in the original equations. Let's use the first one.

3 is being added to 4x. The inverse of addition is subtraction. Subtract 3 from both sides.

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

x is equal to 1 and y is equal to 3. Coordinate points are written as (x, y). The solution to this system of equations is (1, 3).
Answer:
10 represents the initial amount!
Step-by-step explanation:
Answer: The tall cliff is 118.20 feet tall and the short cliff is 70.32 feet tall.
If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.
Therefore, we can set up a tangent equation.
From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:
tan(28) = x /90
x = 47.88
From the top of the short cliff to the bottom, we can right and solve the following trip equation.
tan(38) = x/90
x = 70.32
The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.
Your answer is 23.31538291 feet.
Answer:
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Step-by-step explanation: