2 years ago

4,11,18 what is the 109th value of this sequence ?

Mathematics

1 answer:

kompoz [17]2 years ago

5 0

Answer:

109th value is 760

Step-by-step explanation:

the nth term rule is 7n-3

7×109=763

763-3=760

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Which expression is equivalent to 2√98⋅√2? 4√98 784 14√2 28

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1.What is the solution to the system of equations?

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1. x=4, y=0
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2 years ago

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Answer:

(2,-5) and (2,1).

Step-by-step explanation:

We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.

A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.

Standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

where, (h,k) is center and r is the radius.

$(x-(-2))^2+(y-(-4))^2=(5)^2$

$(x+2)^2+(y+2)^2=25$

Now, put x=2.

$(2+2)^2+(y+2)^2=25$

$(4)^2+(y+2)^2=25$

$(y+2)^2=25-16$

$(y+2)^2=9$

Taking square root on both sides.

$y+2=\pm\sqrt{9}$

$y+2=\pm3$

$y+2=-3\text{ or }y+2=3$

$y=-5\text{ or }y=1$

So, the y-coordinates of the points are -5 and 1.

Therefore, the required points are (2,-5) and (2,1).

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2 years ago