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Serjik [45]
3 years ago
12

Line JK passes through points J(-4,-5) and K(-6, 3). If the equation of the line is written in slope-intercept form, y = mx + b,

Mathematics
1 answer:
Scilla [17]3 years ago
6 0

Answer:

Line JK passes through points J(-4,-5) and K(-6, 3).

Line JK has form of y = mx + b

=> -5 = -4m + b

=>  3 = -6m + b

Subtract 2nd equation from 1st equation:

=> -8 = 2m

=> m = -4

Substitute back m = -4 into 1st equation:

=> -5 = -4(-4) + b

=> b = -21

Hope this helps!

:)

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<h3>Answer: Choice A</h3>

x^2\left(\sqrt[4]{x^2}\right)

=====================================================

Explanation:

The fourth root of x is the same as x^(1/4)

I.e,

\sqrt[4]{x} = x^{1/4}

The same applies to x^10 as well

\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4}

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\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4} = x^{10*1/4} = x^{10/4}

\sqrt[4]{x^{10}} = x^{10/4}

-----------------------

If we have an expression in the form x^(m/n), with m > n, then we can simplify it into an equivalent form as shown below

x^{m/n} = x^a\sqrt[n]{x^b}

The 'a' and 'b' are found through dividing m/n

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'a' is the quotient, b is the remainder

-----------------------

The general formula can easily be confusing, so let's replace m and n with the proper numbers. In this case, m = 10 and n = 4

m/n = 10/4 = 2 remainder 2

We have a = 2 and b = 2

So

x^{m/n} = x^a\sqrt[n]{x^b}

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which means

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A G.P has its 3rd term and 7th term as 45 and 3645 respectively. what is the product of its 2nd and 4th
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Answer:

2,025

Step-by-step explanation:

Given:

Third term ar² = 45

Seventh term ar⁶ = 3,645

Find:

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Computation:

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