What is the answer to this?

Mathematics

1 answer:

Dahasolnce [82]3 years ago

6 0

You stick the number of x into the function to produce the answer so

x=-8, y=-4
x=-4, y=-3
x=0, y=-2
x=4,y=-1
x=8,y=0

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Find the slope of the line perpendicular to the line passing through the given points: (-4, 8) and (-2, 5)

frozen [14]

Answer:

$\frac{3}{2}$

Step-by-step explanation

The slope of a perpendicular line would be (-x) if the slope of the original line was (x).

The formula for finding slope is:

$\frac{y_2-y_1}{x_2-x_1}$

Inserting your problem would make the equation look like:

$\frac{5-8}{-2+4}$

Simplify:

$\frac{-3}{2}$

That is the slope of the given line, to find the slope of the line perpendicular to that one, we would put into (-x)

Answer:

$\frac{3}{2}$

4 0

3 years ago

Which operation results in a binomial? (3y ^ 6 + 4) (9y ^ 12 - 12y ^ 6 + 16)

AleksAgata [21]

Step-by-step explanation:

Given the expression, $(3y ^ 6 + 4) (9y ^ {12} - 12y ^ 6 + 16)$ , we want to know which sign placed in between the two polynomial will produce a binomial.

Using a plus (+) sign to check:

$= (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\= (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\collect \ like \ terms\\= 9y^{12} +3y^6 - 12y^6 + 16+ 4\\= 9y^{12} - 9y^6 + 20\\$

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.

Using a plus (-) sign to check:

$= (3y ^ 6 + 4) - (9y ^ {12} - 12y ^ 6 + 16)\\= 3y ^ 6 + 4 - 9y ^ {12} + 12y ^ 6 - 16\\collect \ like \ terms\\= -9y^{12} +3y^6 +12y^6 + 4-16\\= -9y^{12} +15y^6 -12\\$