Answer: k = -1/3
Step-by-Step Explanation:
=> 3x - 2ky + 4 = 0
Value of ‘x’ = -2
Value of ‘y’ = 3
Substitute values of ‘x’ and ‘y’ :-
=> 3x - 2ky + 4 = 0
= 3(-2) - 2k(3) + 4 = 0
= -6 - 6k + 4 = 0
= -6k = 6 - 4
= -6k = 2
= k = 2/-6
=> k = -2/6 = -1/3
Therefore, k = -1/3
Answer:
CD = 6.385 units
Step-by-step explanation:
Given triangle ABC with right angle at C.
And AB = AD + 6 .
Now, consider the triangle ABC.
⇒ cos(∠BAC) = (cosФ = adj/hyp)
cos(20) = .
0.9397 =
(since AB = AD + 6 and AC = AD + CD)
⇒ 0.9397 AD + 5.6382 = AD + CD
⇒ CD = 0.0603 AD + 5.6382. →→→→→ (1)
⇒ sin(∠BAC) = (sinФ = opp/hyp)
sin(20) = .
⇒ BC = AB sin(20) . →→→→→(2)
Now, consider the triangle BCD,
sin(∠BDC) =
⇒ sin(80) =
CD =
From (2), CD = .
⇒ CD = AB (0.3473)
⇒ CD = (AD + 6) (0.3473)
⇒ CD = 0.3473 AD + 2.0838 →→→→→→(3)
Now, (1) →→ CD = 0.0603 AD + 5.6382
(3) →→ CD = 0.3473 AD + 2.0838
⇒ 0.0603 AD + 5.6382 = 0.3473 AD + 2.0838
0.287 AD = 3.5544.
⇒ AD = 12.3847
⇒ From (1), CD = 0.0603(12.3847) + 5.6382
⇒ CD = 6.385 units
Answer:
a=10
Step-by-step explanation:
Step 1: Add 54 to both sides.
9a−54+54=36+54
9a=90
Step 2: Divide both sides by 9.
9a\9 =90\9
a=10
Kappa ;)
To many things 4 meh