Answer:
y = - 8 x + 2
Step-by-step explanation:
Use any two pairs to find the slope with
slope = (y2-y1)/(x2-x1)
for example: (0, 2), and (1, -6)
slope = (- 6 - 2) / (1 - 0) = - 8
so the equation should look like:
y = -8 x + b
use point (0, 2) to find b:
2 = - 8 (0) + b
b = 2
Then
y = - 8 x + 2
Answer:
the answer is 9.9997 ft
Step-by-step explanation:
the equation to find the radius is
r = √(3v / πh)
The solution of the linear equations will be ( -2, 4).
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given equations are:-
Solving the equations by elimination method:-
2x +3y = 8
3x+y= -2
Multiply the second equation by 3 and subtract from the first equation.
2x +3y = 8
-9x -3y = 6
----------------
-7x = 14
x = -2
Out of the value of x in any one equation, we will get the value of y.
3x+y= -2
3 ( -2) + y = -2
-6 + y = -2
y = 4
The graph of the equations is also attached with the answer below.
Therefore the solution of the linear equations will be ( -2, 4).
The complete question is given below:-
Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2. Find the value of x and y and draw a graph for the system of linear equations.
To know more about equations follow
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Answer: see below
<u>Step-by-step explanation:</u>
1) Foci is plural for Focus. Since a hyperbola has two focus points, they are referred to as foci. The foci is where the sum of the distances from any point on the curve to the foci is constant.
2) When determining the equation of a hyperbola you need the following:
a) does the hyperbola open up or to the right?
b) what is the center (h, k) of the hyperbola?
c) What is the slope of the asymptotes of the hyperbola?
3) The equation of a hyperbola is:
![\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1\qquad or\qquad \dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=1](https://tex.z-dn.net/?f=%5Cdfrac%7B%28x-h%29%5E2%7D%7Ba%5E2%7D-%5Cdfrac%7B%28y-k%29%5E2%7D%7Bb%5E2%7D%3D1%5Cqquad%20or%5Cqquad%20%5Cdfrac%7B%28y-k%29%5E2%7D%7Bb%5E2%7D-%5Cdfrac%7B%28x-h%29%5E2%7D%7Ba%5E2%7D%3D1)
- (h, k) is the center of the hyperbola
- ± b/a is the slope of the line of the asymptotes
- The equation starts with the "x" if it opens to the right and "y" if it opens up