Using formula (a-b)^2 = a^2-2ab+b^2
k = 9
Answer:
Using formula (a-b)^2 = a^2-2ab+b^2
4x 2 −12x+k
=>(2x) 2 −2(2x)(3)+3 2
=>(2x) 2 −2(2x)(3)+9
=> k = 9
Answer:
Step-by-step explanation:
The inverse relation
x y
5 -2
-3 4
1 6
-1 8
A. d=59
B. d=114
C. d=55
D. d=66
Answer:
A. d = 59°
Step-by-step explanation:
We know that the 3 angles added up together are a straight line or 180°. Therefore,
m∠d° = 180 - (57 + 64)
Answer: D. 59
Step-by-step explanation:
57 + 64 + d = 180°
121 + d = 180°
180 - 121 = 59°
Hope this helps!
Answer:
x=3
Step-by-step explanation:
B)24
C)30
D)36
Answer:
24 years.
B is correct option.
Step-by-step explanation:
Let Sunita's current age is x and that of Mark's is y.
Hence, we have
Now, in 12 years the ratio will be 5 to 6. Thus, we have
Cross multiplying, we get
Plunging, the value of x from equation (1)
Therefore, Mark's current age is 24 years.
Mark's current age is 24
Answer:
-10, 40, -240, 1,920 and -19, 200
Step-by-step explanation:
Given the recurrence relation of the sequence defined as aₙ₊₁ = -2naₙ for n = 1, 2, 3... where a₁ = 5, to get the first five terms of the sequence, we will find the values for when n = 1 to n =5.
when n= 1;
aₙ₊₁ = -2naₙ
a₁₊₁ = -2(1)a₁
a₂ = -2(1)(5)
a₂ = -10
when n = 2;
a₂₊₁ = -2(2)a₂
a₃ = -2(2)(-10)
a₃ = 40
when n = 3;
a₃₊₁ = -2(3)a₃
a₄ = -2(3)(40)
a₄ = -240
when n= 4;
a₄₊₁ = -2(4)a₄
a₅ = -2(4)(-240)
a₅ = 1,920
when n = 5;
a₅₊₁ = -2(5)a₅
a₆ = -2(5)(1920)
a₆ = -19,200
Hence, the first five terms of the sequence is -10, 40, -240, 1,920 and -19, 200