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2 years ago

How many solutions does the following system of equations have? {4x + 6y = 24 2x + 3y = 12

Mathematics

1 answer:

Mila [183]2 years ago

5 0

Answer:

Infinitely many solutions

Step-by-step explanation:

Note that 2(2x+3y=12) is 4x+6y=24, which is the first equation. Therefore, by canceling the equations out, you have 0=0, which means whatever one side equals, the other side ALWAYS equals that.

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Write the converse of this statement.

rusak2 [61]

If two angles are equal, then they are both obtuse

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3 years ago

Which equation represents a circle with the same radius as

sattari [20]

Answer :

$(x+1)^2+(y-1)^2=4^2$ and $(x+1)^2+(y-1)^2=16$

Step-by-step explanation:

Given : A circle with the same radius as the circle shown but with a center at (-1.1).

To find : Which equation represents a circle ?

Solution :

The equation of a circle with center (h,k) and radius r is given by :

$(x-h)^2+(y-k)^2=r^2$

Here, we are given (h,k)=(-1,1)

and radius r=4 units

So, equation of circle will be :

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

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

or $(x+1)^2+(y-1)^2=16$

Therefore, the required equations of circle are

$(x+1)^2+(y-1)^2=4^2$ and $(x+1)^2+(y-1)^2=16$

7 0

3 years ago

Right Triangle with legs of 15 and 20, what is the length of the Hypotenuse?

ioda

15^2 + 20^2
= 225 + 400
= 625
square root of 625 = 25

answer:<span>length of the Hypotenuse is</span> 25

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3 years ago

Someone please help I will give BRAINLIST I’m exhausted

Aliun [14]

Answer:

4x - 4

Step-by-step explanation:

Add up all common numbers and then subtract from the total amount.

Hope it helps :))

6 0

3 years ago

PLEASE HELP DUE TODAY

Gre4nikov [31]

x less than or equal to 5

hope this helps !!

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3 years ago