When does a linear equation have infinitely many solutions?

Mathematics

2 answers:

patriot [66]3 years ago

5 0

Answer:

Step-by-step explanation:

A linear equation does not actually have solutions; rather, we find the locus of points ( x, y = f(x) ) and draw a straight line through them.

It is a SYSTEM of linear equations that may or may not have solution(s).

If one equation in this system is a multiple of the other, then the two equations represent the same line and the SYSTEM has infinitely many solutions. The graphs of the two equations coincide/overlap.

Kipish [7]3 years ago

3 0

Answer:

An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.

Step-by-step explanation:

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Over [174]

Step-by-step explanation:

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3 years ago

a triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a squ

omeli [17]

Answer:

The lengths of the sides of the square base are $2\sqrt{2}\ units$

Step-by-step explanation:

The correct question is

A triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a square prism has a height of 12 and its volume is equal to that of the triangular prism. what are the dimensions of the square base, in simplest radical form?

we know that

The volume of a prism is given by the formula

$V=Bh$

where

B is the area of the base

h is the height of the prism

If the volumes of the solids are the same and their heights are the same, then the area of the base of the triangular prism must be equal to the area of the base of the square prism

step 1

Find the area of the base of the triangular prism

Remember that in a right isosceles triangle, the two legs are equal

Let

x ---> the length side of each leg

Applying the Pythagorean Theorem

$(\sqrt{32})^2 =2x^2$