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2 years ago

Determine the number of solutions to a system of equations.

Mathematics

1 answer:

babunello [35]2 years ago

7 0

Step-by-step explanation:

When we compare 2 system of equations (of the form y = mx + c), we take note of the following things:

If the values of m and c in both equations are the same, they have infinitely many solutions
If only the value of m is the same, they have no solutions
If neither is the same, they have 1 solution

Bearing this in mind, we have the following answers:

y = -6x - 2 and y = -6x - 2

=> Infinitely many solutions

y = 0.5x + 5 and y = 0.5x + 1

=> No solutions

y = 0.25x + 2 and y = 5x - 4

=> 1 solution

y = 2x + 3 and y = 4x - 1

=> 1 solution

y = 2x + 5 and y = 2x + 5

=> Infinitely many solutions

y = -x - 3 and y = -x + 3

=> No solutions

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Factoring , <br> a² +4a - 5

givi [52]

the factors of the term $a^2+4a-5$ are $(a-1)(a+5)$

Step-by-step explanation:

We need to find factors of the term: $a^2+4a-5$

For finding factors:

We need to break the middle term such that their product is equal to product of first and last term and their sum is equal to middle term

Breaking the middle term and finding factors:

$a^2+4a-5$

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2 years ago

Noya needs to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is Star

natima [27]

Answer:

A. 18÷2/9

Step-by-step explanation:

A. 18÷2/9

B. 18×2/9

C. 2/9÷18

D. 9/2÷18

Let

Total length of box = 18 inches

Thickness of each book = 2/9 inches

Number of books that will fit into the box = x

Number of books that will fit into the box = Total length of box ÷ Thickness of each book

x = 18 ÷ 2/9

= 18 × 9/2

= 162/2

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The correct answer is A. 18÷2/9

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3 years ago

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kvv77 [185]

Answer:

Given: $r\perp s$ and $t\perp s$ .

Prove: $r\parallel t$

Since $r\perp s$ , By the definition of perpendicular lines angles 1, 2, 3 and 4 are 90 degree. similarly $t\perp s$ , it means angles 5, 6, 7 and 8 are 90 degree.

We can say that,

$\angle 1\cong \angle 5$ , $\angle 2\cong \angle 6$ , $\angle 3\cong \angle 7$ and $\angle 4\cong \angle 8$

From figure it is noticed that the angle 1 and 5 are corresponding angles.

If two parallel lines are intersected by a transversal, then the corresponding angles are equal.

Since corresponding angles are congruent, therefore the line must be parallel to each other.

Hence proved that $r\parallel t$ .

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3 years ago