The dimensions of the prism can be 2x, 2x+3 and x+6.
We first factor out the GCF of the trinomial. The GCF of the coefficients is 2. Each term has an x in common as well, so the GCF is 2x.
Factoring out the 2x, we have
2x(2x²+15x+18).
To factor the remaining trinomial, we find factors of 2*18=36 that sum to 15. 12*3 = 36 and 12+3 = 15. We split up 15x into 12x and 3x:
2x(2x²+12x+3x+18)
Now we group together the first two terms in parentheses and the last two:
2x((2x²+12x)+(3x+18))
Factor out the GCF of the first group:
2x(2x(x+6)+(3x+18))
Factor out the GCF of the second group:
2x(2x(x+6)+3(x+6))
Factoring out what these have in common,
2x(x+6)(2x+3)
Answer:
The answers is below in bold.
Step-by-step explanation:
(a) A = 180 - 25.6 - 124.4 = 30 degrees.
Next use the Sine Rule:
b / sin B = c / sin C
b / sin 25.6 = 39.2/sin 124.4
b = (39.2 * sin 25.6) / sin 124.4
b = 20.53 m.
Also
a / sin A = c / sin C
a / sin 30 = 39.2 / sin 124.4
a = (39.2 * sin 30 / sin 124.4
a = 23.75 m.
b). This is solved in a similar way to (a).
First find angle C using the sine rule.
Then you will know angle A from the 180 degree Rule.
Then you can find the length of a using the Sine Rule.
The questions is asking which one and i say is graph B
Answer:
<em>x = 6 and y = 25 → (6, 25)</em>
Step-by-step explanation:
Substitute y = 4x + 1 to the equation 2x + y = 37:
2x + (4x + 1) = 37
(2x + 4x) + 1 = 37 <em>subtract 1 from both sides</em>
6x = 36 <em>divide both sides by 6</em>
x = 6
Pyt the value of x to the first equation:
y = 4(6) + 1
y = 24 + 1
y = 25
Answer:
You’re right!
Step-by-step explanation:
It IS 3, heres why:
it follows the same rule each time:
2X=Y
1 times 2 is 2
6 times 2 is 12
11 times 2 is 22
16 times 2 is 36
thats proportionate! :D
i hope this helps!
