Consider the system of equations shown.

Mathematics

1 answer:

8_murik_8 [283]3 years ago

3 0

Answer:

D. There are infinitely many solutions

Step-by-step explanation:

Solving the second equation for y gives you the first equation. This is a dependent system. Any solution of one equation is also a solution to the other one. There are infinitely many solutions.

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Determine whether u and v are orthogonal, parallel, or neither.u = <15,45>

sweet-ann [11.9K]

Take the dot product, if the dot product is zero, they are orthogonal

the dot product here is 15(-5) + 45(12) so the vectors are not orthogonal 

to see if they are parallel, take the dot product again, using the definition 

u dot v = mag u x mag v cos (theta) where mag is the magnitude of the vector and theta is the angle between them 

we know from above that u dot v = 465 

mag u = sqrt[15^2+45^2]=47.43 
mag v = sqrt[5^2+12^2]=13 

so we know: 

cos(theta) = 465/(47.43x13) = 0.75 

so theta = 41 deg

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ladessa [460]

Answer:

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Find the 61st term of -12, -28, -44,

Citrus2011 [14]

Answer:

$a_{61}=-972$

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

$a_n=a_1+(n-1)r$