Answer:
Step-by-step explanation:
To factor the equation, break it into two binomials which multiply to make the equation. To write these binomials (x+a)(x+b), find factors which multiply to 30 and add to -13 for a and b.
30: 1, 2, 3, 5, 6, 10, 15, 30
-3+-10 = -13
A.) x=5
B.) x=4
C.) x=8
D.) x=2
E.) x=7
F.) x=6
G.) x=2
H.) x= -3
I.) x=5
J.) x=8
K.) x=9
L.) x=5
M.) fraction form; x=36/7 decimal form; x=5.142857 Mixed number form; x= 5 1/7
N.) x=7
Hope this helps
Answer:
There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.
The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.
How to find?
There are 4 fourth roots of unity and they are 1, i,−1 and−i
Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ( 2 π ) + i sin ( 2 π ) = 1.
Answer:
x=12
Step-by-step explanation:
142 and 3x+2 are supplementary angles when the lines are parallel
142+ 3x+2 = 180
Combine like terms
144+3x= 180
Subtract 144 from each side
144+3x-144=180-144
3x=36
Divide by 3
3x/3 = 36/3
x =12
<u>The present age of the man is 36 years and his son is 11 years.</u>
Answer:
Solution given:
let the age of man be x.
and his son be y.
By question
x-6=6(y-6)
x=6y-36+6
x=6y-30. ......(1)
and
3(x+4)=8(y+4)
3x+12=8y+32
3x=8y+32-12
3x=8y+20. ...(2)
substituting value of x in equation 2 ,we get
3(6y-30)=8y+20
18y-90=8y+20
18y-8y=90+20
10y=110
y=110/10
y=11 years
again substituting value of y in equation 1 we get
x=6*11-30
x=66-30
x=36 years
