Any number that you can completely write down on paper using digits ... and a fraction bar or decimal point if necessary ... is a rational number. If you add it to 0.5, then the sum is another rational number.
The unkown side legnth is 9 centimeteres long all you had to do was subtract all the numbers from 44 and what your left with is the unknown side.
Answer:
x =0
Step-by-step explanation:
4+5e^x+2 =11
Combine like terms
6 + 5e^x =11
Subtract 6 from each side
6-6 + 5e^x =11-6
5 e^x = 5
Divide by 5 on each side
5 e^x /5 = 5/5
e^x = 1
Take the natural log on each side
ln (e^x) = ln(1)
x = ln(1)
x =0
Answer:
1. Find < ACB
2. Use that triangles =180 to find <B = 41
Step-by-step explanation:
1.We need to find < ACB
<ACB +<DBC= 180 They make a straight line
Subtract DBC from each side
<ACB = 180 - <DBC
We know DCB = 113
ACB = 180 -113
ACB = 67
2.The three angles of a triangle = 180, so we can then find <B
<A +<B + <ACB = 180
72 + B + 67 = 180
Combine like terms
139+ <B = 180
Subtract 139 from each side
<B = 180-139
<B =41
We are given:
the center of the rink at the origin.
A skating path (Susan): y = 6x - x^2 - 5
Starting point of Luke = (10, -21)
Path (Luke) = quadratic eq'n with vertex at (8, -9)
Radius = 35 meters
The solution that best interprets the path of the skaters is to substitute Luke's starting point to Susan's path or set-up a quadratic equation with vertex of (8,-9) and then equate to Susan's path to solve for their intersection.
