Use the vertical line test to determine if the graph below represents a function. If it is not a function, tell where the vertic
al line test fails.
2 answers:
Answer:
see attached
Step-by-step explanation:
The vertical line test for a function passes when, if you draw a vertical line which intersects the graph, the line intersects the graph at ONLY ONE point.
It is quite clear that for all positive values of X, any vertical line will intersect the graph at 2 points, thereby failing the vertical line test for a function.
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Answer:
∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.
Step-by-step explanation:
1. units
units
units
units, then
2. and
are right angles - given
3. two right angles are always congruent.
4. by SAS similarity theorem.
SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
x=3.95
Explanation
From the given information we find that the triangle is right angled at C. CB is the base,AC is the height and AB is the hypotenuse.
Given that D is the hypotenuse of the hypotenuse AB.
BC=6
BD=4.2
AD=x
the height and the base of the triangle is given.
Using pythagoras theorem, we can find the hypotenuse AB.
D is the midpoint of AB
therefore AD=AB/2=
=3.905
x=3.905 cm