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3 years ago

5

How do i find the inverse function of h(x) =(5-2x^2)/(3x+10)

1 answer:

sergeinik [125]3 years ago

5 0

Inverse function: you need to exchange the position of x and y, in other words,

x = (5-2y^2)/(3y+10) , then, if you need a representation of y with respect to x, then you need to perform some math.

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A pair of shoes costs $52.99 and the sales tax is 8% use the fromula c=p+rp to find the total prices

Molodets [167]

The total will be 57.23. Because tax would be 4.24 and add it to 52.99 and you get 57.23.

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3 years ago

Find the coordinates of the circumcenter of △PQR with vertices P(−2,5), Q(4,1), and R(−2,−3).

mel-nik [20]

Answer: (1/3,2)

Step-by-step explanation:

Let O(x,y) be the circumference of the triangle PQR,

Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.

Thus, PO = QO

By the distance formula,

$(x+2)^2+(y-5)^2 = (x-4)^2+(y-1)^2$

$\impliesx^2+ 4x + 4 + y^2+ 25 - 10 y = x^2+16 - 8 x + y^2+1 - 2y$

$\implies 4x + 4 + 25 - 10 y = 16 - 8 x + 1 - 2y$

$\implies 4x +8x-10y+2y = 16 + 1 -25-4$

$\implies 12x - 8y = 17 - 29$

$\implies 12 x - 8 y = - 12$ ---------(1)

Similarly, QO = RO

$\implies (x-4)^2 + (y-1)^2 = (x+2)^2+(y+3)^2$

$\implies x^2 + 16 - 8x + y^2+ 1 - 2y = x^2+ 4 + 4 x +y^2+ 9 + 6 y$

$\implies 16 - 8x + 1 - 2y = 4 + 4 x + 9 + 6 y$

$\implies - 8x -4x-2y-6y=4+9-16-1$

$\implies -12 x - 8 y = 13 - 17$

$\implies 12 x + 8 y = 4$ ------------(2)

By adding equation (1) and (2),

24 x = - 8

x = 1/3

By putting this value in equation (1),

We get,

Thus, 4 - 8 y = -12

8 y = 16

y = 2

7 0

3 years ago

The length of a rectangle is (x - 9) feet. Its width is x feet. Write an expression you could use to find the perimeter

steposvetlana [31]

Answer:

The expression for the perimeter of the rectangle is: $P = 4x - 18$

Step-by-step explanation:

Perimeter of a rectangle:

A rectangle has length l and width w. It's perimeter is given by:

$P = 2(l + w)$

In this question:

$l = x - 9, w = x$

So

$P = 2(x - 9 + x) = 2(2x - 9) = 4x - 18$

The expression for the perimeter of the rectangle is: $P = 4x - 18$

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=8%20%5Cfrac%7B1%7D%7B154%7D%20%20%5Csqrt%5B4%5D%7B%3F2%7D%20" id="TexFormula1" title="8 \frac{

Leni [432]

hope this helps:) htdftdsybmiyc

3 0

3 years ago

What’s the area of the sector=

N76 [4]

Answer:

Step-by-step explanation:

$(\pi)\left(\frac{60}{360} \right)(9^{2})=\boxed{13.5\pi}$

3 0

2 years ago