The answer is number 4. Cube
Use the quadratic equation to solve this (image of the quadratic equation is below)
Remember that quadratic functions are set up like so:
To make the equation 3x² + 4x = -8 into a quadratic function you must bring -8 to the left side of the equation so it equals zero. To do this add 8 to both sides
3x² + 4x + 8= -8 + 8
3x² + 4x + 8 = 0
That means that in this equation...
a = 3
b = 4
c = 8
^^^Plug these numbers into the quadratic equation and solve (Keep in mind that +/- is ±
)
^^^There is no real solution to this equation. You must have an imaginary solution
Simplify
Hope this helped!
~Just a girl in love with Shawn Mendes
Standard equation of a circle: <em>(x-h)² + (y-k)² = r²</em> where <em>(h, k)</em> is the center and <em>r </em>is the radius. In the case of our equation here, <em>(x-5)² + (y+3)² = 25</em>, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.
We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.
Distance =

Distance =

Distance =

Distance =

Distance =

Answer:

Step-by-step explanation:
We have the two points: (0, 11) and (3, 50).
And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.
In simple terms, we want to find the slope between the two points.
So, let's use the slope formula:

Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:

Subtract and reduce:

And we're done!
Answer:
Let x rep the lenght of the shorter one
Then the longer one is 2x+1
Therefore
(2x+1) + x = 16
We now solve for x
2x + 1 + x = 16
Group and evaluate like terms
3x +1 = 16
3x = 16 -1
× = 15/3
x = 5
So the shorter one is 5 ft
The longer one is 2(5)+1= 11