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Mathematics

1 answer:

miv72 [106K]3 years ago

5 0

Answer:

Step-by-step explanation:

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Use an equation to find the value of k so that the line passing through (−4,k) and (6,−7) has a slope of −1/5.

Virty [35]

Answer:

k = -5

Step-by-step explanation:

Hi there!

$m=\displaystyle \frac{y_2-y_1}{x_2-x_1}$ where the two points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given information:

$\displaystyle -\frac{1}{5}= \displaystyle \frac{-7-k}{6-(-4)} \\\\\displaystyle -\frac{1}{5}= \displaystyle \frac{-7-k}{6+4} \\\\\displaystyle -\frac{1}{5}= \displaystyle \frac{-7-k}{10} \\\\\displaystyle -\frac{2}{10}= \displaystyle- \frac{-7-k}{10} \\\\-2=-7-k\\k=-5$

I hope this helps!

3 0

3 years ago

Read 2 more answers

You take measurements of the distance traveled by an object that is increasing its speed at a constant rate. The distance travel

Serhud [2]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Given:

$s_1 = 21 \ \ t_1 = 1\\\\s_2 = 59 \ \ t_2 = 2\\\\s_3 = 141 \ \ t_3 = 4$

All points are on the graph including its quadratic function, in order to install their coordinates to values of x and y with the following values:

$y= ax^2 + bx + c\\\\21=a+b+c$ Inserting the coordinates of the first point

$y= ax^2 + bx + c\\\\59 =4a+2b+c$ Inserting the coordinates of the second point

$y= ax^2 + bx + c\\\\141=16a+4b+c$ Inserting the coordinates of the third point

5 0

3 years ago

-2/2/5divided by -2/2/3

d1i1m1o1n [39]

Answer:

9/10

Step-by-step explanation:

to do this you would want to find a common denominator. then to divide fractions you would want to apply the keep change flip rule. keep the first fraction. change the division sign to multiplication and flip the fraction. then proceed to multiple. then you have your answer.