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Svet_ta [14]
2 years ago
9

(-2,4) Given the function f(x) , calculate the inverse f^-1(x)

Mathematics
1 answer:
allsm [11]2 years ago
7 0

Answer:   (4, -2)

<u>Step-by-step explanation:</u>

Inverse is when you swap the x's and y's:  (-2, 4) --> (4, -2)

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1. Steven delivers 56 newspapers every day of the week except Sunday. How
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Answer: 336 papers

Step-by-step explanation:

A week except Sunday = 6 days

56 newspapers * 6 days = 336 newspapers in all

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Mrs. Lin had two dozen pencils. She gave them to four students and asked them to share equally among them. How many pencils shou
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6 pencils each

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Which trigonometric function would be used to find the length of this triangle's hypotenuse?
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3 0
2 years ago
find the coordinates of p so that p partitions segment ab in the part to whole ratio of 1 to 4 with a(-5,4) and b(7,-4)
scoray [572]

Answer:

p(x,y) = (-2.6 ,2.4)

Step-by-step explanation:

Given

a(-5,4) and b(7,-4)

Required

Partition P

Given that the segment ab is divided into ratio;

The coordinates of point p can be calculated using ratio formula given below

p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n})

Where m and n are the ratio; m = 1 and n = 4

(x_1, y_1) = (-5,4); \\(x_2, y_2) = (7,-4)

So,

p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n}) becomes

p(x,y) = (\frac{1 *7 + 4 * -5}{1+4} ,\frac{1 * -4 + 4 * 4}{1+4})

p(x,y) = (\frac{7 + -20}{5} ,\frac{-4 + 16}{5})

p(x,y) = (\frac{-13}{5} ,\frac{12}{5})

p(x,y) = (-2.6 ,2.4)

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3 0
3 years ago
Find the shaded sector and the length of the arc. Round to the nearest hundredth. ​
Dovator [93]

Answer:

Step-by-step explanation:

I'll show you how to do the first one; the other are exactly the same, so pay attention.

The formula for arc length is

AL=\frac{\theta}{360}*2\pi r where θ is the central angle's measure. It just so happens that the measure of the central angle is the same as the measure of the arc it intercepts. Our arc shows a measure of 40°; this measure is NOT the same as the length. Measures are in degrees while length is in inches, or cm, or meters, etc. Going off that info, our central angle measures 40°. Filling in the formula and using 3.1415 for π:

AL=\frac{40}{360}*2(3.1415)(3). I'm going to reduce that fraction a bit (and I'll use the same reduction in the Area of a sector coming up next):

AL=\frac{1}{9}*2(3.1415)(3) which makes

AL = 2.09 units. Now for Area of the Sector. The formula is almost identical, but instead uses the idea that the area of a circle is πr²:

A_s=\frac{\theta}{360}*\pi r^2 where θ is, again, the measure of the central angle (which is the same as the measure of the arc it intercepts). Filling in:

A_s=\frac{1}{9}*(3.1415)(3)^2 which simplifies a bit to

A_s=\frac{1}{9}*(3.1415)(9). As you can see, the 9's cancel each other out, leaving you with

A_s=3.14 units²

7 0
2 years ago
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