Answer:
Step-by-step explanation:
6Sin² Ф + 11Sin Ф + 4 = 0
Product = 6*4 = 24
Sum =11
Factors = 8 , 3 {8*3 = 24 & 8+3 = 11}
6Sin² Ф + 8Sin Ф + 3 sin Ф + 4 = 0
2Sin Ф ( 3Sin Ф + 4) + (3Sin Ф + 4) = 0
( 3Sin Ф + 4) (2Sin Ф + 1) = 0
3Sin Ф + 4 = 0 ; 2Sin Ф + 1 = 0
3Sin Ф = -4 ; 2Sin Ф = -1
Sin Ф = -4/3 ; Sin Ф = -1/2
Sin Ф = -4/3 , -1/2
Answer:
2
Step-by-step explanation:
All the triangles are similar, so ...
... 4/y - y/9
... 36 = y² . . . . . multiply by 9y
... 6 = y
From the Pythagorean theorem, ...
... x² = 4² + y² = 4² + 6²
... x² = 52 = 4·13
... x = √(4·13) = 2√13
Green Box: 2
The value of λ is - 2 and other zero is also - 2.
<h3>Justification:</h3>
Let <u>p(x) = 2x² + 3x + λ</u>
<u>Its one zero is 1/2</u>, so p(1/2) = 0
p(1/2) = 2 × (1/2)² + 3 × 1/2 × λ
⇒ 1/2 + 3/2 + λ = 0 ⇒ 4/2 + λ = 0
⇒ 2 + λ = 0 ⇒ λ = - 2
<u>Let the other zero be α</u>,
Then α + 1/2 = - 3/2 ⇒α = - 3/2 - 1/2 = - 2
Answer:
A, E, F
Step-by-step explanation:
A: the angles are less than 90 degrees
E: all sides have equal lengths
F: has at least 2 sides equivalent in length