Answer:
1f 2×4 -3׳ 12k is divided by × - 3 the remainder is 21 find the value of k
Answer:
44
Step-by-step explanation:
Given a polynomial f(x) divided by (x + h) then the remainder is f(- h)
Here f(x) is divided by (x + 4), thus remainder is calculated as
f(- 4) = (- 4)³ + 5(- 4)² - 7(- 4)
= - 64 + 5(16) + 28
= - 64 + 80 + 28 = 44 ← Remainder
Answer:
solution is (- 3, 5 )
Step-by-step explanation:
given the 2 equations
6x - y = - 23 → (1)
8x + 3y = - 9 → (2)
rearrange (1) expressing y in terms of x
y = 6x + 23 → (3)
Substitute y = 6x + 23 into (2)
8x + 3(6x + 23 ) = - 9
8x + 18x + 69 = - 9
26x + 69 = - 9 ( subtract 69 from both sides )
26x = - 78 ( divide both sides by 26 )
x = - 3
substitute x = - 3 into (3)
y = (6 × - 3 ) + 23 = - 18 + 23 = 5
solution is (- 3, 5 )
Cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1
Just use 3 tens and 1 ones.