Answer:
48.2
Step-by-step explanation:
√(x2-x1)²+(y2-y1)²
√(15.3-59.5)² +(14.9-34.2)²
√(-44.2)² + (-19.3)²
√1953.64+372.49
√2326.13
48.2
9^1/3 * 3^x = 27^4/5
Rewrite 9 as 3^2
(3^2)^1/3 * 3^x = 27^4/5
Multiply the exponents in the first term:
3^2/3 * 3^x = 27^4/5
Use power rule to combine exponents:
3^(2/3 +x) = 27^4/5
Rewrite the 2nd term:
3^(2/3 +x) = (3^3)^4/5
Set the exponents only to equal:
2/3 + x = 3(4/5)
Solve for x:
simplify the right side:
2/3 + x = 12/5
Subtract 2/3 from both sides:
x = 26/15
Answer: angle 2 is acute
Step-by-step explanation: the angle is less that 90⁰
