Answer:
Each term is separated by an addition or subtraction sign.
Coefficients are numbers in front of a variable (letter).
Constants are numbers with nothing else.
so you get
2 | 2 | 3 | 1
6 | 6 | 0.2, -1, 8 | 1/2
3 | -3 | - | -
Step-by-step explanation:
Answer:
x = ± 
, x = ± i
Step-by-step explanation:
f(x) = 
- x² - 2
to find the zeros , equate f(x) to zero , that is
- x² - 2 = 0
using the substitution u = x² , then
u² - u - 2 = 0 ← in standard form
(u - 2)(u + 1) = 0 ← in factored form
equate each factor to zero and solve for u
u - 2 = 0 ⇒ u = 2
u + 1 = 0 ⇒ u = - 1
convert u back into terms of x
x² = 2 ( take square root of both sides )
x = ±
x² = - 1 ( take square root of both sides )
x = ± 
= ± i
Answer
w=7.6
x=43.7
Step-by-step explanation:
To solve for w you can use Sin(x)=
which would basically be Sin(50)=
then solve. Multiply the ten on both sides so you have 10*Sin(50)=w and your final answer is 7.6
To solve for x you can also use Sin(x)=
then just use Inverse of Sin^-1
The answer is x=43.7
Answer:
a) 10.7 cm
b) 11.6 cm
c) 29.9 cm²
Step-by-step explanation:
a) sin(α)/a = sin(β)/b
sin(∠BCD)/BD = sin(DBC)/DC
sin(41°)/BD = sin(55°)/13.4
BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm
b) From ΔBCD , ∠BDC = 180-(41+55) = 84°
∠ABD and ∠BDC are alternate interior angles, so they are congruent, and
∠ABD = ∠BDC = 84°
AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =
= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²
AD =√(133.93) ≈11.6 cm
c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²
