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Ulleksa [173]
1 year ago
14

{(-9,3) (5,-6) (3,-1), (-6,5), ?}Which ordered pair can replace the missing value and make the set if ordered pairs NOT a functi

on? •(-1,-6)•(9,4)•(6,3)•(-6,-9)
Mathematics
1 answer:
Nookie1986 [14]1 year ago
4 0
\text{Slope}=\frac{-1--6}{3-5}=\frac{5}{-2}\begin{gathered} y-y_1=\frac{5}{-2}(x-x_1) \\  \\ y--6=\frac{5}{-2}(x-5) \\  \\ -2(y+6)=5(x-5) \\ -2y-12=5x-25 \\ 5x+2y=25-12 \\ 5x+2y=13 \end{gathered}

The missing values are (-6, -9) ( The last option)

Explanation:

x= - 6 has already produced the value of y as 5, the only pair in the given option the make the given ordered pairs NOT to be a function is (-6, -9) since it will give the value of y to be - 9.

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Write the linear function for the given function values.<br> f(-2)=9 and f(6)=7
BigorU [14]

Answer:

y = -\frac14x + 8.5

Step-by-step explanation:

Hello!

A linear function is written in the form of y = mx + b, where m is the slope and b is the y-intercept.

Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).

<h2>Slope</h2>

Slope can be calculated by the difference in the x-values divided by the difference in the y-values.

Solve

  • \frac{9 - 6}{-2 - 6}
  • \frac{2}{-8}
  • -\frac14

The slope is -1/4.

<h2 /><h2>Y-intercept</h2>

The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.

Solve

  • y = mx + b
  • 9 = -\frac14(-2) + b
  • 9 = 0.5 + b
  • 8.5 = b

<h2>Equation</h2>

We can find the equation by simply plugging in all the values that we found.

Equation: y = -\frac14x + 8.5

6 0
2 years ago
What relationship is formed by a line of symmetry and the line between opposite points in the symmetry
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Answer:

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A line of simmetry splits the figure into two identical halves.

Suppose you have a symmetrical plane figure (like a square or a circle), the line of symmetry divides such figure in two sides: call them the left side and the right side.

The reflection of each point on the right side is a point on the left side along the perpendicular line that joins the two points and the line of symmetry.

For instance, if the line of symmetry is vertical, such as the x-axis, the line between the opposite points in the symmetry is horizontal, i.e. perpendicular to the x-axis (the line of summetry).

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i.e Volume of the water = 45ft³ - 8ft³ = 37ft³

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Answer:

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