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3 years ago

F the base is 4, what is the value if the exponent is 2? What if the exponent is -2?

Mathematics

1 answer:

nasty-shy [4]3 years ago

5 0

Answer:

Step-by-step explanation:

value of 4, and you want to square it or exponent 2

so 4^2 = 4x4

=16

What is ^-2

It does the same operation however because to is negative it really means putting 4 in the denominator so 2 becomes positive. Inverse of the exponent 2

1/4^2 is the same as 4^-2

which will both give 1/16

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What is the value of the fourth term in the geometric sequence

ivanzaharov [21]

Answer:

a(4) = 15/4

Step-by-step explanation:

Here we're told that the first term is a(1) = 30 and that the common factor r = 1/2.

Thus, the geometric sequence formula specific to this case is

a(n) = 30(1/:2)^(n-1).

What is the fourth term? Let n = 4,

a(4) = 30(1/2)^(4-1), or a(4) = 30(1/2)^(3), or a(4) = 30(1/8) = 30/8, or, in reduced form,

a(4) = 15/4.

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kotykmax [81]

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Step-by-step explanation:

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3 years ago

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bogdanovich [222]

Answer:

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Step-by-step explanation:

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3 years ago

Find the standard form of the circle x2 + y2 – 6x + 10y + 24 = 0 by completing the square.

hichkok12 [17]

Answer:

$(x-3)^2+ (y+5)^2=10$

Step-by-step explanation:

Given the equation of the circle: $x^2 + y^2 - 6x + 10y + 24 = 0$

We wish to express it in a Standard form:

We begin by re-arranging:

$x^2 - 6x + y^2 + 10y = - 24$

Next, divide the coefficient of x by 2, square it and add it to both sides.

Do the same for y.

$x^2 - 6x +(-3)^2+ y^2 + 10y+5^2 = - 24+(-3)^2+5^2$

Next, we factorize

$(x-3)^2+ (y+5)^2 = - 24+9+25\\(x-3)^2+ (y+5)^2=10$

This is the standard form.

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3 years ago