More points for easy questions

Mathematics

2 answers:

Dmitrij [34]3 years ago

8 0

Answer:

sum ; cube

Step-by-step explanation:

(6x)³ is the cube of 6x

(6x)³ + 2 is the sum of cube of 6x and 2

Veseljchak [2.6K]3 years ago

6 0

Answer:

"the sum of the cube of 6x and 2"

Step-by-step explanation:

We see that only the expression of 6x is being cubed, not the entire expression of (6x)³ + 2.

The first blank must apply to both these terms 6x and 2, so the word can't be cubed. Instead, because we're finding the sum of these two, the word should be "sum".

The second blank should apply to only the 6x because we've already described the relationship of 6x and 2. So, since we are cubing 6x, the word here should be "cube".

The final sentence should read:

"the sum of the cube of 6x and 2"

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Find the equation of a line through the points (2,4) and (3,-8)

pashok25 [27]

Answer (<u>assuming it can be in slope-intercept form)</u>:

$y = -12x+28$

Step-by-step explanation:

1) First, find the slope of the line by using the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(-8)-(4)}{(3)-(2)} \\m = \frac{-8-4}{3-2}\\m = \frac{-12}{1}\\m = -12$

So, the slope is -12.

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute real values for $m$ , $x_1$ and $y_1$ .

Since $m$ represents the slope, substitute -12 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, choose one of the given points (any one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (2,4), as seen below.) Finally, isolate y to put the equation in slope-intercept form to find the following answer:

$y-4 = -12(x-2)\\y-4 = -12x+24\\y = -12x+28$