<span>1/8(y−5)²=x+3
(y-5)² = 8(x+3)
The formula of parabola in standard form
(y-k)² = 4p(x-h), (h, k) - vertex, (h+p, k) focus
For our parabola
vertex (-3,5)
4p=8
p=2
This is a horizontal parabola because y².
So to find the coordinates of the focus we need to add to x coordinate of vertex.
</span>(-3+2, 5) = (-1,5) focus
Correct answer is (-1,5).<span>
</span>
Well for a Ford Taurus it is 22 miles per gallon, so multiply 22 by 12, and you get 264 miles.
From inspecting the graph, you can identify the y-intercept and the slope of the line shown.
The y-intercept is 200 gallons.
The slope is
75-200
m = ------------- = -12.5 gallons/minute
10 - 0
Thus, y = 200 gallons - [12.5 gallons/minute ]t
To answer the 2nd question, let t = 12 minutes and calculate y(12).
To determine how long it wld take to empty the tank, set the above formula equal to zero and solve the resulting equation for t.
To convert an equation to slope intercept form, you have to isolate the y variable.
-2x + 3y = 15
Add 2x to both sides.
3y = 2x + 15
Divide all terms by 3.
<h3>y = 1.5x + 5 is the original equation in slope-intercept form.</h3>
I hope this answers your question!
The surface area of the stool is 3629.84 square cm
<h3>How to determine the surface area?</h3>
The radius is given as:
r = 34.2
The surface area is calculated using:
A = πr^2
So, we have:
A = 3.14 * 34^2
Evaluate
A = 3629.84
Hence, the surface area of the stool is 3629.84 square cm
Read more about surface area at:
brainly.com/question/6613758
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