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3 years ago

A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?

Mathematics

1 answer:

natka813 [3]3 years ago

4 0

Answer: a = 6

Step-by-step explanation:

The slope of the line is -1/2 so if y = -4, x = 6. In your case, x is a.

Hope this helps!

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Solve the system of equations by graphing. x+y=-9 4x+y=-19

shutvik [7]

For this case we have the following system of equations:

$x + y = -9\\4x + y = -19$

We multiply the first equation by -4:

$-4x-4y = 36$

We have the following equivalent system of equations:

$-4x-4y = 36\\4x + y = -19$

We add the equations:

$-4x + 4x-4y + y = 36-19\\-3y = 17\\y = - \frac {17} {3}$

We find the value of the variable "x":

$x = -9-yx = -9 - (- \frac {17} {3})\\x = -9 + \frac {17} {3}\\x = \frac {-27 + 17} {3}\\x = - \frac {10} {3}$

Thus, the solution of the system is:

$(x, y): (- \frac {10} {3}, - \frac {17} {3})$

See the graphic in the attached image

ANswer:

$(x, y): (- \frac {10} {3}, - \frac {17} {3})$

See the graphic in the attached image

4 0

4 years ago

What are the equations for the asymptotes of this hyperbola

Fofino [41]

Answer:

its d

Step-by-step explanation:

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3 years ago

A series consists of some numbers such that the summation of the divisors of any number of that series is 1 less than twice of t

dezoksy [38]

Answer:

The 9th term is 17179869184

Step-by-step explanation:

Here we have that;

The divisors of 1 = 1 which is 1 less than 1*2

The sum of the divisors of 2 = 1 + 2 = 3 which is 1 less than 2*2

The sum of the divisors of 4 = 1 + 2 + 4 which is 1 less than 4*2

The sum of the divisors of 8 = 1 + 2 + 4 + 8 which is 1 less than 8*2

The sum of the divisors of 32 = 1 + 2 + 4 + 8 + 16 + 32 which is 1 less than 32*2

The sum of the divisors of 256 = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 which is 1 less than

The next numbers are therefore,

32 × 256 = 8192

256 × 8192 = 2097152 and the 9th term is therefore;

8192 × 2097152 = 17179869184.

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3 years ago

{y≤ -3x+5

Aliun [14]

Answer:

A.) For the first inequality (y<=-3x+5) the ordered pairs are (0,5) and (1,2).

For the second inequality(8x-4y<24) the ordered pairs are (0,-6) and (1,-4).

B. (0,-7) is a solution to both inequalities.

C. (0,6) is not a solution to either inequality.

D. (0,0) is a solution for the first inequality, but not the second inequality.

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3 years ago

Which of the following are equal to 25 miles per gallon? Check all that apply

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3 years ago