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3 years ago

If m(x) = x+5/x-1, and n(x) = x-3, which function has the same domain as m of n of x?

Mathematics

1 answer:

mamaluj [8]3 years ago

4 0

Is that the exact question? because the last part doesn't really make sense to me

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This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0

3 years ago

A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A secod prism has a square base with a sid

Alenkinab [10]

Answer:

6cm

Step-by-step explanation:

correct for 100 points i swear

7 0

2 years ago

HELP PLEASE HELP ITS THE LAST QUESTION

andrew-mc [135]

C and d hope it help

7 0

3 years ago

Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowa

maw [93]

PART A
Coefficient
Coefficient h is 7.50
Coefficient s is 0.20

Variable
h and s

Constant
40

PART B
7.50h + 0.20s + 40
= 7.50(25) + 0.20(300) + 40
= 187.5 + 60 + 40
= 287.5
She earns $287.5

PART C
Yes, the coefficient of h would change to 9, the rests are still the same. Because she's no longer receive 7.50 per hour, and start earning 9 per hour, so the coefficient should change.
The expression would be
9h + 0.20s + 40

4 0

3 years ago

Which is equivalent to 80(1/4^x)

BabaBlast [244]

20/x ???
(By simplifying)

4 0

3 years ago

Read 2 more answers