Answer:
Step-by-step explanation:
The equation 
is a <em>linear equation</em>. By definition, the independent term on this equation (that is, the number that is not being multiplied by 
) is the <em>y-intercept</em>, which is a fancy way of saying "the point where the line crosses the y-axis".
By looking at the equation, we know that our y-intercept is <em>c. </em>By looking at the graph, we can see that the y-intercept is -3. Therefore, 
and we get the complete version of our linear equation:
Now, looking at the graph we can see that the point 
lies on the line of the equation, which means that the point is a solution to our equation. All we have to do is replace and 
by the values of the given point (which are 
and 
, respectively), and then solve for :
And we are done!
The answer is D.
|-4| < 4
4 < 4
|-1| < 0
1 < 0
|-6| = -6
6 = -6
|-14| > 10
14 > 10
Answer:
y = (x+4)^2 +13
Step-by-step explanation:
y=x^2+8x+29
To complete the square take the coefficient of the x term
8
Divide by 2
8/2 =4
Then square it
4^2 =16
y=x^2+8x+16+13
= (x^2+8x+16) +13
= (x+4)^2 +13
By definition, the volume of a sphere is:
Where,
r: sphere radio
Substituting values we have:
Rounding the result to the nearest tenth:
Answer: the sphere's volume is: 
Answer:
A set of parametric equations for the line y = 4x - 5 is;
x = t
y = 4t - 5
Step-by-step explanation:
To find a set of parametric equations for the line y = 4x - 5;
We can assign either variable x or y equal to the parameter t, in this case we can easily let x = t
We then substitute x = t in the original equation;
y = 4t - 5
Therefore, a set of parametric equations for the line y = 4x - 5 is;
x = t
y = 4t - 5
