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3 years ago

What is the measure of PQR?

Mathematics

1 answer:

Lisa [10]3 years ago

7 0

Answer:

PQRS is a quadrilateral and the measure of angle PQR is 70 degrees. According to the central angle theorem, that the angle inscribed on the circle is always half the measure of the central angle.

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Easy - Math - INVERSES - NEED ASAP PLEASE AND THANK YOU VERY MUCH!

polet [3.4K]

Answer:

Part 1) No

Part 2) Option 4. $f^{-1}(x)=-\frac{1}{3}x+3$

part 3) $f^{-1}(9)=4$

Step-by-step explanation:

Part 1) we have

$f(x)=8x-3$

$g(x)=(x+8)/3$

Find the inverse of f(x) and then compare with g(x)

Let

y=f(x)

$y=8x-3$

Exchange the variables x for y and y for x

$x=8y-3$

Isolate the variable y

$8y=(x+3)$

$y=(x+3)/8$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=(x+3)/8$

therefore

the functions f(x) and g(x) are not inverses of each other

Part 2) we have

$f(x)=-3x+9$

Let

y=f(x)

$y=-3x+9$

Exchange the variables x for y and y for x

$x=-3y+9$

Isolate the variable y

$3y=-x+9$

$y=(-x+9)/3$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=(-x+9)/3$

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

Part 3) we know that

For $x=4$ , $f(x)=9$

For $x=9$ , $f^{-1}(9)=4$

5 0

4 years ago

Write the equation of line in slope-intercept form. Line parallel to y=0.5x+3 that passes through the point (−9,12)

Sliva [168]

A line parallel to the given one will have the same slope, 0.5. For the purpose here, it is convenient to start with a point-slope form of the equation, then simplify. For slope m and point (h, k), the equation of the line can be written as

... y = m(x -h) +k

We have m=0.5, (h, k) = (-9, 12), so the equation is ...

... y = 0.5(x +9) +12

... y = 0.5x +16.5