Find the distance between the points R(0,5) and S(12,3). round the answer to the nearest tenth
1 answer:
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one way would be to factor
I can't factor it so we will have to use Descartes' Rule of Signs which is helpful for finding how many real roots you have
it goes like this:
for a polynomial with real coefients, consider .
after arranging the terms in decending order in terms of degree, count how many times the signs of the coeffients change direction and minus 2 from that number until you get to 1 or 0. that will be the number of even roots the function can have
We have (-, -, +, +). the signs changed 1 times, so it has 1 real positive root
to get the negative roots, we evaluate f(-x) and see how many times the root changes
signs are (-, -, -, +). there was 1 change in sign
so the function has 1 real negative root
a total of 2 real roots
a function of degree can have at most,
roots
our function is degree 6 so it has 6 roots
if 2 are real, then the others must be complex
6-2=4 so there are 4 complex roots
you can also show that there are only 2 real roots by using a graphing utility to see that there are only 2 real roots
Answer:
x = 27
Step-by-step explanation:
This angle is a right angle, meaning 90 degrees, as whenever it's a right angle, there's a small square on the angle which u can see at the bottom left, so:
x + 8 + 2x = 90
3x + 8 = 90
subtract 8 from both sides
3x = 82
divide by 3
x = 27 1/3