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4 years ago

When lines coincide how many solutions does each system have?

Mathematics

2 answers:

Pani-rosa [81]4 years ago

7 0

I believe It is A. infinitely solutions

Gnesinka [82]4 years ago

6 0

Each system has one solution when at least two lines collide; so, the answer is C.

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Elis [28]

Because we know x stays constant, draw a point on (0,5). then draw a line extending up and down from (0,5) indefinitely because no matter what y is, x always stays the same--5.

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4 years ago

Replace the ? with one of the following symbols (<, >, =, or ≠) for 4 + 3 + 7 ? 7 + 0 +7 A. > B. ≠ C. = D. <

ExtremeBDS [4]

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3 years ago

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3 years ago

The length of a rectangle is 5m less than three times the width, and the area of the rectangle is 50m^(2). Find the dimensions o

Ilia_Sergeevich [38]

Answer:

The width is 5m and the length is 10m.

Step-by-step explanation:

Rectangle:

Has two dimensions: Width(w) and length(l).

It's area is:

$A = w*l$

The length of a rectangle is 5m less than three times the width

This means that $l = 3w - 5$

The area of the rectangle is 50m^(2)

This means that $A = 50$ . So

$A = w*l$

$50 = w*(3w - 5)$

$3w^{2} - 5w - 50 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$3w^{2} - 5w - 50 = 0$

$a = 3, b = -5, c = -50$

$\bigtriangleup = (-5)^{2} - 4*3*(-50) = 625$

$w_{1} = \frac{-(-5) + \sqrt{625}}{2*3} = 5$

$w_{2} = \frac{-(-5) - \sqrt{625}}{2*3} = -3.33$

Dimension must be positive result, so

The width is 5m(in meters because the area is in square meters).

Length:

$l = 3w - 5 = 3*5 - 5 = 10$

The length is 10 meters

6 0

3 years ago

there are 420 girls and boys at a community centre.The ratio of girls and boys at the centre is 7to 3.How many girls are at the

astraxan [27]

G + b = 420 ;
g / b = 7 / 3 ;
Then, g = ( 7 / 3 )b;
( 7 / 3 )b + b = 420 ;
7b + 3b = 1260 ;
10b = 1260 ;
b = 126 ( boys );
g = ( 7 / 3 )× 126 = 294 ( girls ) ;

3 0

4 years ago