Answer:
12.2 feet
Step-by-step explanation:
The key to this problem is trigonometry.
Imagine a right triangle. With a height, 10 ft (representing the tree's height), and a base of 7 ft (representing the horizontal distance to the worm).
Now the hypoteneuse length, or otherwise the distance from the worm is unknown.
So this is where we can use the pythagorean theorem.
here is the hypoteneuse length, and 
and 
are the other lengths of the triangle.
Since we know a and b we can solve for c.
But first we will square root both sides of the equation to get and not 
.
Now just plug in our values for a and b respectively. (It doesn't matter what number replaces a or b, just make sure you are replacing a and b with the 2 known values) Calculate.
Round to the nearest tenth.
feet
To find the dimensions you can just factor the equation...
x^2+4x-21
x^2-3x+7x-21
x(x-3)+7(x-3)
(x+7)(x-3) and this is equal to LW or WL
And note that x>3 for any possible solution.
Explanation: Just like any of your two-step equations,
in this inequality, start by isolating the x term which in this
case is -3x by subtracting 5 from both sides.
That leaves you with -3x < -24.
To get x by itself, divide both sides by -3 but watch out.
When you multiply or divide both sides of an inequality by a
negative number, you must switch the direction of the inequality sign.
So we have x < 8 and put your final answer in
set notation and it look like this → {x: x < 8}.
Answer:
(1, -4)
Step-by-step explanation:
Hope this helps!
8y + x + 12
other then that, you cannot further simplify this, nor can you factor because the greatest common factor for all of them is just 1
