Answer: it is the first one
Step-by-step explanation:
Answer:
DK = 9
Step-by-step explanation:
In triangle AMD,
h² = p² + b²
or, h² = 6² + 4²
or, h²= 36 + 16
so, h² = 52
so, AM² = 52
Take x as reference angle,
cos²x = 16/52
Now,
In triangle, AMK,
Taking x as reference angle,
cos²x = b²/h²
cos²x = AM²/MK²
or, cos²x = 52/MK²
Now,
cos²x = 16/52 = 52/MK²
or,
16/52 = 52/MK²
or, 16MK² = 2704
or, MK² = 2704/16
or, MK² = 169
so, MK = 13
Now,
DK = MK - MD
or, DK = 13 - 4
so, DK = 9
Carry out the mult.: f(x) = -[x^2 - 21x + 9x - 189]
Combine like terms: f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [ ]: f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c: a= -1, b=12, c=189
The equation of the axis of symmetry is x = -b/(2a), which here equals
x = -(12)/[2(-1)], or x = 6
This is also the x-coordinate of the vertex. Plug x=6 into the original equation to calculate the y-coordinate.
Answer:24v+24w-16
Step-by-step explanation:
8(3v+3w-2)
8 times 3 =24
So 24v+24w
Then 8 times 2=16
So the answer would be 24v+24w-16
Answer:
yes
Step-by-step explanation:
Polynomial Long Division :
4.3 Polynomial Long Division
Dividing : x5-5x4+10x3-10x2+5x-1
("Dividend")
By : x-1 ("Divisor")
dividend x5 - 5x4 + 10x3 - 10x2 + 5x - 1
- divisor * x4 x5 - x4
remainder - 4x4 + 10x3 - 10x2 + 5x - 1
- divisor * -4x3 - 4x4 + 4x3
remainder 6x3 - 10x2 + 5x - 1
- divisor * 6x2 6x3 - 6x2
remainder - 4x2 + 5x - 1
- divisor * -4x1 - 4x2 + 4x
remainder x - 1
- divisor * x0 x - 1
remainder 0
Quotient : x4-4x3+6x2-4x+1 Remainder: 0
