Answer:
x = 4 radical 3 / 3
Step-by-step explanation:
this is a 30-60-90 triangle
the side across from the angle 30 is L
the side across from the angle 60 is L√3
the side across from the angle 90 is 2L
we are given the side across from 60⁰ so we know that:
2 = L√3
we want to solve for L, so we must divide both sides by √3 (radical three)
2/√3 = L√3/√3
you would get 2/ √3 = L, because the radical three cancels out on the L side.
but you can't have a radical in the denominator, so you have to multiply 2/√3 by radical 3
2 times √3 and √3 times √3
you get 2√3/√9
radical nine can simplify
2radical3/3 or 2√3/3
we found L, but that would equal the thirty degree angle, not the 90, 90 = 2L
multiply the number infront of the radical by two and get
4√3/3
x=4 radical 3 divided by 3
Answer: 1:8
Step-by-step explanation:
First you add all of the candies together (so 18) then you see how many there are grape flavored (2), put them in a ratio (2:18) and simplify (1:8)
hope this helps :)
Answer:
y = -4
Step-by-step explanation:
Solve the following system:
{4 x + 5 y = -12 | (equation 1)
3 y - 2 x = -16 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{4 x + 5 y = -12 | (equation 1)
0 x+(11 y)/2 = -22 | (equation 2)
Multiply equation 2 by 2/11:
{4 x + 5 y = -12 | (equation 1)
0 x+y = -4 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{4 x+0 y = 8 | (equation 1)
0 x+y = -4 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 2 | (equation 1)
0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = 2
, y = -4
Answer:
<u>S': (2, 1)</u>
<u>T': (5, 3)</u>
<u>U': (1, -4)</u>
<u>S'': (1, 3)</u>
<u>T'': (4, 5)</u>
<u>U'': (0, -2)</u>
Step-by-step explanation:
Hi!
For Reflection Across the X-Axis use this :
(x, y) -> (x, - y)
So :
S': (2, 1)
T': (5, 3)
U': (1, -4)
and then the question also asks for a translation so we follow what it gave us:
S'': (1, 3)
T'': (4, 5)
U'': (0, -2)
Please ask me any questions that you still may have!
and Have a great day! :)
