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lara [203]
3 years ago
5

Write a linear function f with f(5) = -1 and f(0) =-5. f (x) =

Mathematics
1 answer:
kifflom [539]3 years ago
7 0

Answer:

f(x)=\frac{4}{5}x-5

Step-by-step explanation:

Solution is below as well as graph for proof

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Brainliest is given to the correct answer!
OlgaM077 [116]

Answer:

a. p = 2\pi r + 8r

b. r = \frac{p}{2\pi + 8}

Step-by-step explanation:

a. Radius of semicircle (r) = r

Diameter of semicircle (d) = 2r

Length of rectangle (l) = 2*diameter of semicircle = 2*2r = 4r

Distance around the track (p) = circumference of circle + 2(l)

Note: the two semicircles of the track = 1 full circle

Circumference of full circle = πd = π*2r = 2πr

Distance around the track:

p = 2πr + 2(4r)

p = 2πr + 8r

b. Rewriting the formula to make radius, r, the subject of the formula in terms of distance around the track.

p = 2\pi r + 8r

Factor out r

p = r(2\pi + 8)

Divide both sides by (2π + 8)

\frac{p}{2\pi + 8} = \frac{r(2\pi + 8)}{2\pi + 8}

\frac{p}{2\pi + 8} = r

r = \frac{p}{2\pi + 8}

6 0
3 years ago
Which equation is represented by the phrase a number increased by 3 equals 10 ​
Anna71 [15]
7+3=10 because it’s asking for something that adds 3 and that would equal 10 so the proper equation is 7+3=10 :)
3 0
3 years ago
Which is an example of the associative property?
zhenek [66]

-5 + 7= 7 + (-5) they are the same just switched


3 0
3 years ago
Read 2 more answers
The magnitude of the resultant vector shown is _____.
Flura [38]

Answer:

  2√3

Step-by-step explanation:

You recognize this as a 30°-60°-90° triangle, so you know the hypotenuse (R) is twice the length of the shortest side (√3).

The magnitude of R is 2√3.

_____

In case you haven't memorized the ratios for a 30°-60°-90° triangle, you can use trigonometry and the fact that ...

  Sin = Opposite/Hypotenuse

  sin(30°) = √3/R

  R = √3/sin(30°) = √3/(1/2) = 2√3

Of course, doing this on your calculator will give a numerical answer, which you may not want.

6 0
3 years ago
In the diagram, AABC ~ ADEF. Find the value of x.
Andrew [12]

Answer:

B

Step-by-step explanation:

bdeehvdvjwjkwkwwjehheeh

If you dont know the anwser its always B

3 0
2 years ago
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