Next time, please share the answer choices.
Starting from scratch, it's possible to find the roots:
<span>4x^2=x^3+2x should be rearranged in descending order by powers of x:
x^3 - 4x^2 + 2x = 0. Factoring out x: </span>x(x^2 - 4x + 2) = 0
Clearly, one root is 0. We must now find the roots of (x^2 - 4x + 2):
Here we could learn a lot by graphing. The graph of y = x^2 - 4x + 2 never touches the x-axis, which tells us that (x^2 - 4x + 2) = 0 has no real roots other than x=0. You could also apply the quadratic formula here; if you do, you'll find that the discriminant is negative, meaning that you have two complex, unequal roots.
Answer:
angle RUS = 65 degrees
angle STU = 90 degrees
Step-by-step explanation:
(a) find angle RUS
Given arc RU = 50 degrees, so angle RSU = 50/2 = 25 degrees
Since US is the diameter,
angle URS is a right-angle.
Consider triangle RUS,
sum of angles of a triangle = 25+90+RUS = 180
solve for
RUS = 180 - 25 - 90 = 65 degrees.
(b) Find STU
All diameters span a right angle at the circumference,
since we're given US is a diameter, this means that
angle STU is a right angle.
Answer:
<u>4 meters.</u>
Step-by-step explanation:
Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position.
So, the total distance Benjamin walked is 10m + 6m = 16m
Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.
The difference between the distance she walked and her displacement is 4 meters.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Ending Amount = Beginning Amount / 2^n
where "n" is the number of half-lives
n = 139 / 27.8 = 5 half-lives
Ending Amount = 7.6 oz / 2^5
Ending Amount = 7.6 oz / 32
Ending Amount = .2375 ounces
Source:
http://www.1728.org/halflife.htm
