How many solutions does the system of equations have ? Y=5x + 15 Y=5x + 12

Mathematics

1 answer:

lianna [129]3 years ago

5 0

Answer:

no solutions

Step-by-step explanation:

We can solve this system using elimination. In this case, we can eliminate x and y by subtracting the two equations:

0=15-12

0=3

This is not true, meaning the system does NOT have any solutions.

The equation for a line is:

y=mx+b

m: slope

b: y-intercept

Here we can see the two lines have the same slope, meaning they are parallel. If they are parallel, they do not intersect which means there is no solution.

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The product of (a + b)(a − b) is a2 − b2. (1 point) Sometimes Always Never

jenyasd209 [6]

ANSWER

$\boxed{Always}$
EXPLANATION

The given product is

$( a - b)(a + b)$

This is always equal to

${a}^{2} - {b}^{2}$

The identity

$( a - b)(a + b) = {a}^{2} - {b}^{2}$

is called difference of two squares.

We can verify this by simply expanding the brackets using the distributive property to obtain,

$( a - b)(a + b) = a(a + b) - b(a + b)$

$( a - b)(a + b) = {a}^{2} + ab - ab- {b}^{2}$

This simplifies to

$( a - b)(a + b) = {a}^{2} - {b}^{2}$

6 0

3 years ago

Read 2 more answers

The following trinomial is completely factored: 12x2 - 15x + 24

MakcuM [25]

No, the x in 12x2 and 15x could still be factored.

8 0

3 years ago

Read 2 more answers

Answer?! Thanks I appreciate it

LenKa [72]

6.02 - 3.9 = 2.12 km
Convert 2.12 km to meters.
2.12 km = 2,120 meters.