Answer:
the graph of the equation will be symmetric about option b.) x axis
Step-by-step explanation:
i) the given equation is x = + 4
ii) therefore = x - 4
iii) the equation is that of a parabola with vertex at (4,0)
iv) the graph of the equation will be symmetric about option b.) x axis
Answer:
√22
Step-by-step explanation:
Answer:
2, 4
Step-by-step explanation:
Let there are two unknown consecutive pairs of even integers 2n and 2n+2.
If the sum of the reciprocals of those two integers is 3/4, then we can write,
1/2n +1/(2n+2) =3/4 ...... (1)
Solving this above equation we can check whether the integers exist or not.
Now, from equation (1) we get,
1/n +1/(n+1) =3/2
⇒
⇒4n +2 =3n²+3n
⇒3n²-n-2 =0
⇒ (n-1)(3n+2) =0
⇒ (n-1) =0 {Since if (3n+2) =0 then, n will be a negative fraction, which is not possible}
⇒ n=1
∴ 2n =2 and 2n+2 =4
Hence, the two integers are 2, 4. (Answer)
Answer:
45 km/h
50 km/h
Step-by-step explanation:
Distance traveled in one way = 450 km
Let x = Velocity when he was going to his destination in km/h
He traveled 5 km/h faster when he returned so his velocity was
It took him 1 hour less when he returned so
So, velocity while going to his destination is 45 km/h
While returning his velocity was 45+5 = 50 km/h.
Area of a circle is PI x r^2, where r is the radius ( half the diameter).
Set up the equation to solve for r:
40 = PI x r^2
r^2 = 40/PI
r = SQRT(40/PI)
r = sqrt(40/3.14)
r = sqrt(12.74)
r = 3.57
Diameter = 2 x 3.57
Diameter = 7.14 feet.