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bixtya [17]
3 years ago
9

Choose the best graph that represents the linear equation -5x - y= 0

Mathematics
2 answers:
asambeis [7]3 years ago
7 0
Well we can’t see all the graphs
const2013 [10]3 years ago
7 0

- 5x - y = 0 \\  \\ y =  - 5x \\  \\  - 5x - y + y = 0 + y \\  \\  - 5x = y \\  \\  \frac{ - 5x}{- 5}  =  \frac{y}{-5}  \\  \\ x =  \frac{-1}{5}y

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What is the 52nd term of the sequence below?
VladimirAG [237]
Because the difference between any term and the previous term is a constant, this is an arithmetic sequence because of that constant which is referred to as the common difference, d.  Which in this case is -35--38=-32--35=3

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.

In this case a=-38 and d=3 so

a(n)=-38+3(n-1)  which we can simplify to

a(n)=-38+3n-3

a(n)=3n-41, so the 52nd term is:

a(52)=3(52)-41

a(52)=156-41

a(52)=115
3 0
3 years ago
1.) A 20° sector in a circle has an area of 21.5π yd².
a_sh-v [17]

<u>Part 1)</u> A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?  

we know that

the area of a circle represent a sector of 360 degrees

so by proportion

\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}    

therefore

<u>the answer part 1) is</u>

The area of the circle is 1,215.18\ yd^{2}

<u>Part 2)</u> What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

in this problem we have

Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm

<u>Find the area of the circle</u>

A=\pi r^{2}

A=\pi*10.6^{2}

A=352.8104\ cm^{2}

<u>Find the area of the sector</u>

we know that the area of the circle represent a sector of 2\pi radians

by proportion

\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}

therefore

<u>the answer part 2) is</u>

the area of the sector is

105.84\ cm^{2}

7 0
4 years ago
Create an equivalent ratio to 5:2 by multiplying both sides by 2.<br> What is the equivalent ratio?
skelet666 [1.2K]

Answer:

10/4

Step-by-step explanation:

Randomthing2143 is right

8 0
3 years ago
Read 2 more answers
Solve for x.<br><br> x2 + 4x - 21 = 0
Anton [14]
2x + 4x - 21 = 0
6x - 21 = 0
6x = 21
x=3.5
4 0
3 years ago
An animal shelter has a total of 350 animals comprised of cats, dogs, and rabbits. If the number of rabbits is 5 less than one-h
Andrew [12]
This is the concept of algebra, suppose that the number of cats is x;
number of cats will be x-20
number of rabbits will be 3/2x
thus the total number of animals will be:
x+(x-20)+3/2x=350
7/2x=350+20
7/2x=370
x=370*2/7
x=105.7=106
therefore we conclude that there we 106 cats in the shelter
7 0
4 years ago
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