Answer:
Table A
Step-by-step explanation:
The constant of proportionality is the ratio of y to x.
A: 6/8 = 3/4 . . . . this is the table you want
B: 1/4 = 1/4 . . . . . constant is not 3/4
C: values are not proportional
The length of side x in simplest radical form with a rational denominator is 8√3
<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>
The given parameters are:
Triangle type = Equilateral triangle
Height (h) = 12
Missing side length = x
The missing side length, x is calculated using the following sine ratio
sin(60) = Height/Missing side length
This gives
sin(60) = 12/x
Make x the subject of the formula
So, we have
x = 12/sin(60)
Evaluate the quotient
So, we have
x = 12/(√3/2)
This gives
x = 24/√3
Rationalize
x = 24/√3 * √3/√3
Evaluate
x = 8√3
Hence, the length of side x in simplest radical form with a rational denominator is 8√3
Read more about triangles at
brainly.com/question/2437195
#SPJ1
See attached picture for the answers:
Answer:
4 right; 4 up
Step-by-step explanation:
The difference between the two points is ...
P'(1, 5) -P(-3, 1) = (1-(-3), 5-1) = (4, 4)
The translation is 4 units to the right and 4 units up.
