Hello from MrBillDoesMath!
Answer: The relationship is linear. The equation is y = 2x + 19
Discussion:
When x changes from -7 to -5 ( and increment of of +2), y changes from 5 to 9 ( an increment of +4). When x changes from 5 to -3 (an increment of +2) , y changes from 9 to 13 (an increment of +4)... and so on.....
So far, when x changes by 2, y changes by 4. This means the data falls on a line (so is linear). In fact,
(change in y) / (change in x) = 4/2 = 2 = slope of line.
so y = 2x + b. As the line passes through the point ( -7, 5)
5 = 2 (-7) + b or
5 = -14 + b or ( adding 14 to both sides)
5 + 14 = 19 = b.
Hence the equitation the line is y = 2x + 19
Thank you,
MrB
Step-by-step explanation:
step 1. The circumference (c) of a circle is the diameter of a circle x pi. c = d(pi) = 14pi.
step 2. The area (A) of a circle is the radius of a circle squared x pi. The radius of a circle is 1/2 x the diameter. A = (14/2)^2(pi) = 49pi.
If we solve this equation:
<span>8.9=logx+7.9
</span>
we get:
<span>logx=<span>1</span></span>
Answer:
The sum of the money shared is $1372
Step-by-step explanation:
The given ratio is
Albert:Michael:Moses=3:5:6
The total ratio is 3+5+6=14
Let the sum of money shared be $x.
Then Albert's share = 3/14 x 
= 3/ 14
Michal's Share = 5x/14
If Michael received $196 more than Albert, then the difference between their share is the $196.
Answer:
Height = 19mm.
Step-by-step explanation:
Area of a regular polygon = (A * P) / 2 where A = side / (2 * Tan (π / N)) where, N = Number of sides, A = Apothem, P = Perimeter.
Here A = 5, P = 5*12 = 60 so
Area of the base = (5 * 60) / 2 = 150 mm^2.
Volume = area base * height so
Height = volume / area of base
= 2850 / 150
= 19 mm.
