Answer:
Step-by-step explanation:
The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21. The positive nature of the discriminant tells us that there are two real, unequal roots. Following the quadratic formula, we get:
-3 ± √21
x = -----------------
2
answer:
x=74 y=27
steps:
triangle in the middle is
180-126 = 54
180-85 = 95
180-149 = 31
126=2x+1+31
126=2x+32
2x=94
x=74
126+2y=180
2y=54
y=27
His hand slipped and she could not hold on any longer. He reached out to stop her from falling but all he caught was a single hair. She fell into the abyss and disappeared out of sight. He stared into the emptiness that had stolen his love away from him and began to cry. She was gone. He heard a faint whisper in the background that would haunt him for ever more 'Andrew, what did you do wrong?'
Sorry, I like creative writing.
Answer:
-0.41 radians
Step-by-step explanation
(Credit goes to calculista)
let
A---> the angle
if sin A=-0.4
then
A=sin-1(-0.4)
using a calculator
A=-23.578°----> the angle A belong to the IV quadrant
convert to radians
if pi radians--]----> 180°
x--------> -23.578°
x=-23.578*pi/180----> x=-0.41 radians
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Answer:
15 years old
Step-by-step explanation:
Start by defining the variables that we are going to use throughout our working:
Let the current age of Wei Ling and Wei Xuan be L and X years old respectively.
Next, form equations using the given information.
<u>5 years </u><u>ago</u>
Wei Ling: (L -5) years old
Wei Xuan: (X -5) years old
Given that the ratio of Wei Ling's age to that of Wei Xuan's is 2: 5,

Cross multiply:
2(X -5)= 5(L -5)
Expand:
2X -10= 5L -25
2X= 5L -25 +10
2X= 5L -15 -----(1)
<u>9 years time</u>
Wei Ling: (L +9) years old
Wei Xuan: (X +9) years old
Given that the ratio of Wei Ling's age to that of Wei Xuan is 3: 4,

Cross multiply:
3(X +9)= 4(L +9)
Expand:
3X +27= 4L +36
3X= 4L +36 -27
3X= 4L +9 -----(2)
Let's solve using the elimination method.
(1) ×3:
6X= 15L -45 -----(3)
(2) ×2:
6X= 8L +18 -----(4)
(3) -(4):
6X -6X= 15L -45 -(8L +18)
0= 15L -45 -8L -18
0= 7L -63
7L= 63
L= 63 ÷7
L= 9
Substitute L= 9 into (1):
2X= 5(9) -15
2X= 45 -15
2X= 30
X= 30 ÷2
X= 15
Thus, Wei Xuan is 15 years old now.