First, multiply 5 • x, which is 5x. Then, multiply 5 • 1, which is 5. Now you have the equation 5x + 5 = -20. Now, subtract 5 from +5 and do the same to the -20, which gets you -25. Now divide -25 by 5, which is -5. Therefor, x= -5. Check by multiplying -5 • 5, which is -25. Then add -25 + 5, which is 20 and you now know your answer is correct.
Final Answer: x = -5
Answer:
The longest side length b is approximately 13.172 cm
Step-by-step explanation:
The given parameters are;
The area of the triangle = 22.4 cm²
The given angles of the triangle = ∠97°
The given side of the triangle = 3.7 cm
The formula for the area of a triangle, A = 1/2 × a × b × sin(C)
Where;
a, and b are the side legs forming the angle C
Therefore, we have;
A = 22.4 = 1/2 × 3.7 × a × sin(97°)
a = 22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199
a ≈ 12.199 cm
Therefore, by cosine rule, we have;
b² = a² + c² - 2 × a × c × Cos(B)
Substituting the values, gives;
b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)
b² ≈ 173.507
∴ b ≈ √173.507 ≈ 13.172
b ≈ 13.172 cm
Answer:
216
Step-by-step explanation:
(g∘f)(x) = g(f(x))
f(2) = 2·2 +2 = 6
g(f(2)) = g(6) = 6³ = 216
