Answer:
$0.5
Step-by-step explanation:
Given data
Cost of 5 pencils= $2.50
Required
The cost per pencil
The cost per pencil is
Cost of 5 pencils divided by 5
=2.5/5
=$0.5
This is the constant of proportionality
For any number of pencils x
The cost is
Cost =0.5x
Hence the cost of one pencil is $0.5
I used a little trig, the opposite and adjacent were being used so I used tan... I used it to find h and then plugged it in the a=bh
The equation is 4x+8=-12 so you subtract 8 from both sides to give you 4x=-20, then you divide by 4 to get x=-5
We know that
the equation of a circle is(x-h)²+(y-k)²=r²
for the circle 1---------> (x-6)²+(y-8)²=8²
for the circle 2---------> (x-6)²+(y+3)²=2²
using a graph tool
see the attached figure
What transformations can be applied to Circle 1 to prove that the circles are similar?
we know that
r2/r1---------> 2/8------> 1/4
to prove that the circle 1 and circle 2 are similar, the radius of circle 1 must be multiplied by (1/4) and translate the center of the circle 1 (11) units down
<span>the answer is
The circles are similar because you can translate Circle 1 using the transformation rule (x,y)--------------> ( x , y-11 ) and thendilate it using a scale factor of (1/4)</span>