Explanation:
A function is a relationship where any one x-value/input only has <u>one </u>corresponding y-value/output. (note: a y-value can have multiple x-values).
> This can be called "assigning one y-value to every x element".
The vertical line test places a line that would connect all y-values of an x-value (that is, if it were to have multiple y-values). If multiple points can be found along the vertical line, it is, therefore, by the definition of a function, not a function. (Because an x-value will have more than one y-value).
So, a graph that fails the vertical-line test does not represent a function because an x-value will correspond with more than one y-value.
hope this helps!!
-4x + 8y = 2
-4x + 4x + 8y = 2 + 4x
8y = 4x + 2
8 8
y = ¹/₂x + ¹/₄
Answer:
<em>angle ABD =</em><u><em>55 degree</em></u>
<em>angle BCD= </em><u><em>125 degree</em></u>
Step-by-step explanation:
angle ABD and angle DBC are supplementary angles.
Hence, angle ABD +angle DBC = 180 --equation 1
angle ABD = (2x+15) ---equation 2
angle BCD = (4x+45) ------equation 3
ABD+DBC=180
(2x+15) + ( 4x+45 ) = 180
2x+4x+15+45=180
6x+60=180
6x=180-60
6x=120
x=120/6=20
angle ABD= 2x+15= 2(20) +15
=40+15= 55 degree
angle BCD= 4x+45 = 4(20) +45
= 80+45= 125 degree
Hence, angle ABD =55 degree
angle BCD= 125 degree
<em>Hope this helps.</em>
Answer:
x=80* y=20* and X=100*
Step-by-step explanation:
If we assume PQ || OR then by alternate interior angles x is equal to 80 degrees and y is equal to 20 degrees.
We know that a triangle adds up to 180 degrees.
Angle ROX and XRO add up to 100 degrees. Leaving RXO equal to 80 degrees. (180-100=80).
By opposite angles, QXP is equal to 80 degrees also.
Then we are left with solving for X.
Supplementary angles add up to 180 degrees.
Subtract angle OXR from 180 and we are left with angle OXP = X = 100 degrees.
