Answer:
12*x^18
Step-by-step explanation:
144=(2^4)*(3^2)
then
sqrt (144 x^36)=sqrt (144)*sqrt (x^36)
sqrt (144)=sqrt ((2^4)*(3^2))=2² * 3=12
sqrt (x^36) =x^(36/2)=x^18
therefore
sqrt (144 x^36)=sqrt (144)*sqrt (x^36)=12*x^18
the answer is 12*x^18
Answer: x + 2x + x-40 = 180
First angle= 55º
Second angle= 110º
Third angle= 15º
Step-by-step explanation: The sum of the angles of a triangle is 180º
Take the values given and use x as the unknown first angle. then create terms for the other two angles based on that:
The second angle of a triangle is double the first angle becomes 2x
The third angle is 40 less than the first angle becomes x-40
x + 2x + x-40 = 180 Solve by adding like terms . x + 2x + x = 4x
4x -40 = 180 Add 40 to both sides to "cancel" the -40 on the left
4x + 40 -40 = 180 + 40 becomes
4x = 220 Divide both sides by 4 to "cancel" the 4 on the left side
4x/4 = 220/4
x = 55 This is the first angle. Substitute 55 for the "x" in the original terms
2(55) = 110 The second angle
(55) -40 = 15 the third angle
Step-by-step explanation:
Using synthetic division of polynomials 3x⁴-2x²+4x+9÷x+2. Rewrite the dividend as 3x⁴+0x³-2x²+4x+9
2 | 3 0 -2 4 9
| 6 -12 20 -32
3 -6 10 -16 41
So the quotient is 3x³-6x²+10x-16 with a remainder of 41
Therefore, 3x³-6x²+10x-16+(41/x+2)
Answer is 49
Formula is b^2-4(ac)
3^2-4(2*-5) while a=2, b=3, c=-5
9-4(2*-5)
9-4(-10)
9+40
49
Hope this helps!
Answer:
n ÷ 2
Step-by-step explanation:
if you insert a 12 for 'n', the corresponding value below would be 12÷2, or 6
this follows the pattern in the table