Answer:
Since =18 is a vertical line, there is no y-intercept and the slope is undefined.
Slope: Undefined
y-intercept: No y-intercept
Step-by-step explanation:
I hope it helpes u
Answer:
d is the answer
Step-by-step explanation:
perimeter of rect = 2(7+3) = 20
perimeter of square = 4 a =20
a = 5
Answer:
sin 3 θ = 3 sin θ - 4 sin³θ
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given sin 3 θ
= sin ( 2θ + θ )
apply trigonometric formula
<em> sin ( A + B) = sin A cos B + cos A sin B </em>
<em> sin 2 A = 2 sin A cos B</em>
<em> Cos 2 A = 1 - 2 sin² A </em>
<em> cos ² A - sin ² A = 1</em>
<u><em>Step(ii):</em></u>-
sin 3 θ = sin ( 2θ + θ )
= sin 2θ cosθ + cos2θ sin θ
= 2 sin θ cos θ cos θ +( 1 - 2 sin² θ )sin θ
= 2 sin θ (cos² θ ) + sin θ- 2 sin³ θ
= 2 sin θ ( 1- sin²θ) + sin θ- 2 sin³ θ
= 2 sin θ - 2sin³θ + sin θ- 2 sin³ θ
= 3 sin θ - 4 sin³θ
<u><em>Final answer</em></u> :-
sin 3 θ = 3 sin θ - 4 sin³θ
s=3f-24
add 24 to each side
s+24 =3f
divide by 3
(s+24)/3 = f
Answer: f=(s+24)/3 or 1/3 s +8
Answer:
1168/3 or 389 1/3 as a mixed fraction
Step-by-step explanation:
Simplify the following:
4^2 (4×36/6 + 1/3)
4×36/6 = (4×36)/6:
4^2 ((4×36)/6 + 1/3)
4^2 = 16:
16 ((4×36)/6 + 1/3)
36/6 = (6×6)/6 = 6:
16 (4×6 + 1/3)
4×6 = 24:
16 (24 + 1/3)
Put 1/3 + 24 over the common denominator 3. 1/3 + 24 = 1/3 + (3×24)/3:
16 1/3 + (3×24)/3
3×24 = 72:
16 (1/3 + 72/3)
1/3 + 72/3 = (1 + 72)/3:
16 (1 + 72)/3
1 + 72 = 73:
16×73/3
16×73/3 = (16×73)/3:
(16×73)/3
| | 7 | 3
× | | 1 | 6
| 4 | 3 | 8
| 7 | 3 | 0
1 | 1 | 6 | 8:
Answer: 1168/3