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PSYCHO15rus [73]
3 years ago
10

What is the "k" value of the following function? Is it 3, -2, -3, or 2?

Mathematics
1 answer:
snow_tiger [21]3 years ago
5 0

Answer:

-3

Step-by-step explanation:

we khow that the vertex form of a function is written this way :

f(x)=a(x-h)²+k

  • the coordinates of the vertex are (h,k) so from the graph we can deduce that k = -3

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\bf \begin{array}{|cc|ll} \cline{1-2} h&km\\ \cline{1-2} \underline{0.000}&0.0\\ 0.024&1.2\\ 0.051&2.8\\ 0.084&4.2\\ \underline{2.34}&16.34\\ \cline{1-2} \end{array}~\hspace{10em} (\stackrel{x_1}{0.000}~,~\stackrel{y_1}{0.0})\qquad (\stackrel{x_2}{2.34}~,~\stackrel{y_2}{16.34}) \\\\\\ \stackrel{\textit{average rate of change}}{slope = m\implies} \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16.34-0.000}{2.34-0.0}\implies \cfrac{16.34}{2.34}~~\approx ~~6.98~\frac{km}{h}

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Read 2 more answers
Three lines are described below. Write an equation in slope-intercept form for each line.
grigory [225]

a. Equation in slope-intercept form of a line parallel to y = 2/5x +1 will be: y = 2/5x + 5

b. Equation in slope-intercept form of a line perpendicular to y = 2/5x +1 will be: y = -5/2x + 1

c.  Equation in slope-intercept form of a line that is neither parallel nor perpendicular to y = 2/5x +1 will be: y = 3x + 1

<h3>Slope-intercept Equation of Parallel and Perpendicular Lines</h3>
  • Slope-intercept equation, where b is the y-intercept and b m is the slope is represented as y = mx + b.
  • Equations of parallel lines have the same slope.
  • Equations of perpendicular lines will have slope that are negative reciprocal of each other.
  • If two lines are neither parallel nor perpendicular, their equation will have different slopes, and the slope of one is not the negative reciprocal of each other.

Therefore:

a. Equation in slope-intercept form of a line parallel to y = 2/5x +1 will be: y = 2/5x + 5

b. Equation in slope-intercept form of a line perpendicular to y = 2/5x +1 will be: y = -5/2x + 1

c.  Equation in slope-intercept form of a line that is neither parallel nor perpendicular to y = 2/5x +1 will be: y = 3x + 1

Learn more about slope-intercept form on:

brainly.com/question/25826868

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