Answer:
-3/2
Step-by-step explanation:
5x+3=3x
Subtract 5x from each side
3 = -2x
Divide each side by -2
-3/2 = x
Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
Answer:
S = v1 t1 = 7 t1 traveling downstream
S = v2 t2 = 5 t2 traveling upstream
7 t1 = 5 t2
7 (6 - t2) = 5 t2 since t1 + t2 = 6
42 - 7 t2 = 5 t2
t2 = 42 / 12 = 3.5 hrs so t1 = 2.5 hrs
S = 7 t1 = 7 * 2.5 = 17.5 mi
Also, S = 5 t2 = 5 * 3.5 = 17.5 mi
Answer:
-14-6=-20
Step-by-step explanation:
the negative sign gives you a negative 6, which you can subtract from -14, giving you -20.
9514 1404 393
Answer:
x ≈ 0.7798
Step-by-step explanation:
For this to be an exponential function, the variable needs to be in the exponent. That is, parentheses are needed.
e^(8x) = 512
8x = ln(512) . . . . . take the natural log
x = ln(512)/8 ≈ 0.7798
