Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°
Answer:
x=20
Step-by-step explanation:
3x - 10 + 5x + 30 = 180
8x + 20 = 180
8x = 160
x = 160/8
x = 20
check:
3(20) - 10 + 5(20) + 30 = 180
60 - 10 + 100 + 30 = 180
50 + 100 + 30 = 180
150 + 30 = 180
180 = 180 ✓
We have that
the correct expression is
y=2^(x+3)
using a graph tool
see the attached figure
the answer is the option C
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