Answer:
(x-4)^2 + (y-5)^2 = 20
Step-by-step explanation:
Rearrange the line equation of 5x - 2y + 6 = 0
So y = 5/2x +3
The y-intercept of the line equation is 3 as when x=0, y=3.
We know the Circle has the formula 
from the question but with the intercept, we can find the entire equation as the y-intercept is (0,3) so we can substitute it into the equation to find the full equations so:
This simplifies to:
= 
16 + 4 = 20 =
The answer is 20 so the equation of the circle is 
Use this formula: A = P(1 + r/n)^nt, where A is the amount after interest (what you are solving for), P is the amount you invested originally, r is the rate at which it was invested in decimal form, n is the number of times the compounding occurs each year, t is the time in years it is invested. It would look like this: A = 500(1 + [.06/12])^12*5. Do inside the parenthesis first to get 1 + .005 = 1.005. Now raise that to the 60th power (12 times 5 is 60) to get 1.34558. Now multiply that by the 500 out front to get a total amount of $674.43
Since y equals the product of the factors, any value for x which makes any factor equal to zero is a point where the graph touches the x-axis.
x=-5 and 2 (technically the points (-5,0) and (2,0))
A) What's the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!
By definition we have that the volume of a rectangular prism is given by:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height
We then have to replace the values:
V = (7) * (5.5) * (2.5)
V = 96.25 in ^ 3
Equivalently:
V = 96 1/4 in ^ 3
B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.
No, this fish tank could not hold 100 in³ of water.
This is because the prism volume (part A) is less than 100 in ^ 3.
In other words;
96 1/4 in ^ 3 <100 in ^ 3
Answer:
2) y = 0.95x + 4
3) slope: height increases by 0.95 units as x increases by 1 unit
intercept: initial height
Step-by-step explanation:
Using (20,23) and (40,42)
Slope: (42 - 23)/(40 - 20)
0.95
y = 0.95x+ c
23 = 0.95(20) + c
c = 4
y = 0.95x + 4
