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algol13
3 years ago
7

How many solutions does the system x = -3y + 2 -4x - 12y = -8 have?​

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer:

Infinitely many solutions.

Step-by-step explanation:

x=-3y+2

-4x-12y=-8

----------------

-4(-3y+2)-12y=-8

12y-8-12y=-8

-8=-8

infinitely many solutions

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First solve for x in the first equation. So you'll have to substitute,
5(3x-7)=20
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Find the discontinues<br> F(x)= sin(x^2-2)
maks197457 [2]
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If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3
horrorfan [7]

Answer:  The correct option is (B) 24 : 25.

Step-by-step explanation:  Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Therefore, the ratio of the area of R to the area of S is

\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0
3 years ago
The difference between a number and ten is thirteen. What is the number?
svetoff [14.1K]

Answer:

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Step-by-step explanation:

23-10=13

4 0
3 years ago
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vredina [299]
Costs would be nine dollars for the lemons and four dollars for the sugar ($-13.00). You end up losing only fifty cents throughout, so you would have had to sell (.5×25=12.50) 25 cups to pay for all but fifty cents.

Answer is 25 cups
4 0
3 years ago
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