Answer:
x = 5sqrt(3)
Step-by-step explanation:
This is a right triangle. We can use the Pythagorean theorem to solve
a^2 +b^2 = c^2
5^2 +x^2 = 10^2
25+x^2 = 100
Subtract 25 from each side
25-25 +x^2 = 100-25
x^2 = 75
Take the square root of each side
sqrt(x^2) = sqrt(75)
x = sqrt(3*25)
Remember sqrt(ab) = sqrt(a)sqrt(b)
x = sqrt(5)sqrt(3)
x = 5sqrt(3)
You can see if it is simplified by checking if the numbers can be divided with the same number. Typically, this is done mentally.
Ex: You can mentally determine that 10:4 is not simplified, because both can be divided by 2.
You can then determine that 5:2 is simplified.
Factor it.
<span>x² - x - 6 </span>
<span>----------- = </span>
<span>x² - 4 </span>
<span>(x - 3)(x + 2) </span>
<span>----------------- = </span>
<span>(x - 2)(x + 2) </span>
<span>Cancel out the x + 2 factors. </span>
<span>x - 3 </span>
<span>------ <==ANSWER </span>
<span>x - 2
</span>
Answer: Exact Form: 3/2 decimal form: 1.5
Step-by-step explanation:
Answer: x=-14
Step-by-step explanation:
If the line is perpendicular to the x-axis, that means it is parallel to the y-axis. All lines that are parallel to the y-axis have the form x=. Since we know the line passes through the x value of -14, that means the equation of the line is x=-14.