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2 years ago

Pleas help me solve the following inequality and graph the solution set on the number line

Mathematics

1 answer:

Natalija [7]2 years ago

7 0

Answer:

x≥ -5

Step-by-step explanation:

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A,C,D

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A circle has a radius of 10. An arc in circle has a central angle of 72 what is the length of the arc

BARSIC [14]

Answer:

4π

Step-by-step explanation:

-A circle subtends a total angle of 360 ° from its center.

-The length of an arc is directly proportional to the angle it subtends from the circle's center.

#The arc's length can therefore be calculated as:

$C=\pi D=2\pi r\\\\\therefore C=\frac{72\textdegree}{360\textdegree}\times 2\pi \times 10\\\\=4\pi$

Hence, the length of the arc is 4π

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2 years ago

Find the inverse of f(x)=−3/2x+7/2.

timama [110]

Answer: $f^{-1}(x)=-\frac{2}{3}x+\frac{7}{3}$

Step-by-step explanation:

To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.

$y=-\frac{3}{2}x+\frac{7}{2}$ [replace y with x and x with y]

$x=-\frac{3}{2}y+\frac{7}{2}$ [subtract both sides by 7/2]

$x-\frac{7}{2} =-\frac{3}{2}y$ [multiply both sides by -2/3]

$-\frac{2}{3} (x-\frac{7}{2} )=y$ [distribute]

$y=-\frac{2}{3}x+\frac{7}{3}$

Now, we have our inverse function.

$f^-^1(x)=-\frac{2}{3}x+\frac{7}{3}$

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2 years ago