Answer:
3, 5, 7
Step-by-step explanation:
1st number: (2k+1)
2nd number: (2k+3)
3rd number: (2k+5), k∈Z
3*[(2k+1) + (2k+3)] = 3 + 3*(2k+5)
3*(4k+4)=3+6k+15
12k+12=18+6k
6k=6
k=1
1st number: (2k+1) = 3
2nd number: (2k+3)=5
3rd number: (2k+5)=7
Answer:
y > -1/2 x + 4
Step-by-step explanation:
Equation of a line : (y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-4)/(2-4)= (x-0)/(4-0)
(y-4)/-2 = x/4
(-y+4)/2 = x/4
-y+4 = 1/2 x
-y = 1/2 x - 4
y = -1/2 x + 4
the solutions of the inequality are the points above this line, so
y > -1/2 x + 4
The greatest common factor of 12, 78, and 90 is 6.
Factors are the numbers, that when multiplied with another number, equal the product.
Factors of 12: 1, 2, 3, 4, 6, and 12.
Factors of 78: 1, 2, 3, 6, 13, 26, 39, and 78.
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 20, 45, and 90.
The Greatest Common Factor is the highest factor shared among the products. Thus proving 6 is the GCF.
I hope this helps!
Answer:
The first step is to divide all the terms by the coefficient of 
which is 2.
The solutions to the quadratic equation 
are:
Step-by-step explanation:
Considering the equation
The first step is to divide all the terms by the coefficient of which is 2.
so
Lets now solve the equation by completeing the remaining steps
Write equation in the form: 
Solving for 
,
Completing the square
Since, you had required to know the first step in completing the square for the equation above, I hope you have got the point, but let me quickly solve the remaining solution.
For 
the solution are 
Solving
∵ Applying imaginary number rule 
Similarly, solving
∵ Applying imaginary number rule
Therefore, the solutions to the quadratic equation are:
We know that
<span>The regular decagon can be divided into 10 congruent triangles
</span>so
area regular decagon=10*[area of one triangle]
area triangle=b*h/2
where
b=3.25 m
h is the aphotem
h=5 m
area=3.25*5/2----> area=8.125 m²
area regular decagon=10*[8.125]----> 81.25 m²
Area=81.3 m²
the answer is
81.3 m²
