Mathematics: Here is rectangle qrst. what is qr? what is rs? and what is the perimeter of rectangle qrst? answer in units

Here is rectangle qrst. what is qr? what is rs?

superfly903

18.01.2022

Answers with step-by-step explanation:

We are given the following coordinates of the rectangle QRST:

Q (-3, 0)

R (0, 4)

S (8, -2)

T (5, -6)

QR = $\sqrt { ( 4 - 0 ) ^ 2 + ( 0 - ( - 3 ) ) ^ 2 } = \sqrt { 1 6 + 9 } = \sqrt { 2 5 }$ = 5 units

RS = $\sqrt { ( 4 - ( - 2 ) ) ^ 2 + ( 0 - 8 ) ^ 2} = \sqrt { 3 6 + 6 4 } =\sqrt{100}$ = 10 units

Perimeter of QRST = 2 (QR+RS) = 2(5+10) = 30 units

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naiomireyes74p2aybs

01.05.2020

f(g(x))=18x^3+1

Step-by-step explanation:

Since we have given that

$f(x)=9x^2+1\\\\and\\\\g(x)=\sqrt{2x^3}$

We need to find the f(g(x)).

Here, f(x) denotes the amount of money that she earns per loaf and x is the number of loaves she makes,

and,

g(x) denotes the number of bread loaves she bakes per hour and x is the number of hours she works.

So, our composition would be

$f(g(x))=f(\sqrt{2x^3}))=9(\sqrt{2x^3})^2+1=18x^3+1$

Hence, f(g(x))=18x^3+1

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