Which is the right answer?
2 answers:
Answer is (-2,1) the second choice
Reason
Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, it’s not a function
There are two -2 x values (-2,1) and (-2,-3) so one has to go
The choices say to eliminate ( -2, 1)
There is also a vertical line test, if a vertical line goes over a point more than once, it is not a function.
See attachment.
Reason
Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, it’s not a function
There are two -2 x values (-2,1) and (-2,-3) so one has to go
The choices say to eliminate ( -2, 1)
There is also a vertical line test, if a vertical line goes over a point more than once, it is not a function.
See attachment.
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Answer:
890 beads can be fitted in the triangular prism.
Step-by-step explanation:
If we can fill the spherical beads completely in the triangular prism,
Volume of the triangular prism = Volume of the spherical beads
Volume of triangular prism = Area of the triangular base × Height
From the picture attached,
Area of the triangular base =
=
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
(13)² = 5² + BC²
169 = 25 + BC²
BC² = 144
BC = 12
Area of the triangular base =
= 30 cm²
Height of the triangular prism = 18 cm
Volume of the triangular prism = 30 × 18
= 540 cm³
Volume of one spherical bead =
=
= 0.606 cm³
Let there are 'n' beads in the triangular prism,
Volume of 'n' beads = Volume of the prism
540 = 0.606n
n = 890.90
n ≈ 890
Therefore, 890 beads can be fitted in the triangular prism.
