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iren2701 [21]
4 years ago
9

What type of sequence is this: 4, 6, 8, 10…?

Mathematics
2 answers:
Monica [59]4 years ago
8 0
It's being added by 2 each time
maria [59]4 years ago
4 0
Hmm, adds 2 each time
not multiplied by a constant
so it is an aritmetic sequence
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Answer:

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hcf: 3

step by step:

lcm of 6: 6, 12, 18, 24, 30, 36,

hcf of 6: 1, 2, 3 and 6.

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4 years ago
Write the standard form of the equation of the circle with center (7,1) that also contains the point (−1,−5).
Karo-lina-s [1.5K]

Answer:

(x-7)^2+(y-1)^2=100

Step-by-step explanation:

<u>1) Find the radius</u>

We can do this by using the distance equation with the centre (7,1) and the given point (-1,-5):

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} where the two points are (x_1,y_1) and (x_2,y_2)

Plug in the points (7,1) and (-1,-5)

d=\sqrt{(-1-7)^2+(-5-1)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10

Therefore, the radius of the circle is 10 units.

<u>2) Plug the data into the equation of a circle</u>

Equation of a circle (when not centred at the origin):

(x-h)^2+(y-k)^2=r^2 where the centre is (h,k) and r is the radius

Plug in the centre (7,1) as (h,k)

(x-7)^2+(y-1)^2=r^2

Plug in the radius 10

(x-7)^2+(y-1)^2=10^2\\(x-7)^2+(y-1)^2=100

I hope this helps!

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3 years ago
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