The correct options are:
A. The scatter plot has an outlier at (15, 2)
B. The scatter plot has a cluster with a range from 2 to 4
<u><em>Explanation</em></u>
Co ordinate of any point can be written in form of (x,y) where first value is the distance across x-axis and second value is the distance across y-axis.
We can see in the plot, that the outlier point is 15 unit across x-axis and then 2 unit across y axis from the origin. So the co ordinate of that point will be (15, 2).
Range means the values across the y-axis. We can see that the cluster starts at y=2 and ends at y=4. That means, the scatter plot has a cluster with a range from 2 to 4.
Answer:
Option c. (x, y) → (y , x)
Step-by-step explanation:
we know that
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places
Remember that each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure
so
The rule of the reflection across the line y=x is
(x,y) → (y,x)
Check the picture below
so.. .hmmm the vertex is at the origin... and we know the parabola passes through those two points... let's use either.. say hmmm 100,-50, to get the coefficient "a"
keep in mind that, the parabolic dome is vertical, thus we use the y = a(x-h)²+k version for parabolas, which is a vertical parabola
as opposed to x = (y-k)²+h, anyway, let's find "a"
now.. .your choices, show.... a constant on the end.... a constant at the end, is just a vertical shift from the parent equation, the equation we've got above.. is just the parent equation, since we used the origin as the vertex, it has a vertical shift of 0, and thus no constant, but is basically, the same parabola, the one in the choices is just a shifted version, is all.
The values of x, y, and z of the parallelogram are -19°, -115° and 27°
<h3>What is a parallelogram?</h3>
A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.
for a parallelogram opposite angles are equal
-4x -1 = 75
-4x = 76
x = 76/-4
x = -19°
sum of adjacent angles are supplementary
(-y-10) + 75 = 180
-y + 65 = 180
-y = 180 - 65
-y = 115
y = -115°
Also
4z - 3 + 75 = 180
4z + 72 = 180
4z = 180 - 72
4z = 108
z = 108/4
z = 27°
In conclusion, the values of x = -19, y = -115, z = 27
Learn more about Parallelogram: brainly.com/question/20526916
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