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2 years ago

7) Given: Name the part of the circle that segment CD represents.

Mathematics

1 answer:

zimovet [89]2 years ago

6 0

Answer:

A Chord

Step-by-step explanation:

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Please help ASAP If f(x) = x^2-6x+2 and g(x) =sqrt x find a.) (fog) (x) b.) (gof) (-2)

Rudik [331]

$\large\begin{array}{l} \left\{\!\begin{array}{l} \mathsf{f(x)=x^2-6x+2}\\ \mathsf{g(x)=\sqrt{x}}\\ \end{array}\right. \end{array}$

$\large\begin{array}{l} \textsf{a) }\mathsf{(f\circ g)(x)}\\\\ =\mathsf{f\big[g(x)\big]}\\\\ =\mathsf{\big[g(x)\big]^2-6\cdot g(x)+2}\\\\ =\mathsf{\big[\sqrt{x}\big]^2-6\sqrt{x}+2}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(f\circ g)(x)=x-6\sqrt{x}+2} \end{array}}\qquad\checkmark \end{array}$

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$\large\begin{array}{l} \textsf{b) }\mathsf{(g\circ f)(-2)}\\\\ =\mathsf{g\big[f(-2)\big]}\\\\ =\mathsf{\sqrt{f(-2)}}\\\\ =\mathsf{\sqrt{(-2)^2-6\cdot (-2)+2}}\\\\ =\mathsf{\sqrt{4+12+2}}\\\\ =\mathsf{\sqrt{18}}\\\\ =\mathsf{\sqrt{3^2\cdot 2}}\\\\ =\mathsf{3\sqrt{2}}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(g\circ f)(-2)=3\sqrt{2}} \end{array}}\qquad\checkmark \end{array}$

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$\large\textsf{I hope this helps. :-)}$

Tags: composite function composition evaluate algebra

7 0

3 years ago

PLEASE HELP NOW --- >N is a 2-digit even number. If the last two digits of N^2 is the same as N, what is the sum of digits of

taurus [48]

Answer:

76.

Step-by-step explanation:

It is given that N is a 2-digit number.

Last two digits of N^2 is the same as N.

We know that, a number is even if it ends with 0,2,4,6,8.

$2^2=4,4^2=16,6^2=36,8^2=64$

If 0 is in end then we get two zeros in the square of that number.

It is clear that, number should ends with 6 to get the same number at the end.

$16^2=256$

$26^2=676$

$36^2=1296$

$46^2=2116$

$56^2=3136$

$66^2=4356$

$76^2=5776$

$86^2=7396$

$96^2=9216$

It is clear that last two digits of (76)^2 is the same as 76.

Therefore, the required number is 76.

6 0

3 years ago

AB is a midsegment of trapezoid DEFG what is x?

Mamont248 [21]

Answer:

D. 2

Step-by-step explanation:

DEFG is a trapezoid and AB is its Midsegment.

Therefore,

$AB =\frac{1}{2}(DG + EF) \\ \\ 12 = \frac{1}{2} (5x - 4 + 8x + 2) \\ \\ 12 \times 2= (13x - 2) \\ \\ 24 = 13x - 2 \\ \\ 24 + 2 = 13x \\ \\ 26 = 13x \\ \\ x = \frac{26}{13} \\ \\ x = 2$