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What is the length of the straight line of y equals 5x plus 10 that spans the parabola of y equals x squared plus 4 showing all work to 3 decimal places?
1 If: y = 5x+10 and y = x2+4
2 Then: 5x+10 = x2+4
3 So then: x2-5x-6 = 0
4 Solving the above quadratic equation: x = -1 and x = 6
5 Substitution: when x = -1 then y = 5 and when x = 6 then y = 40
6 End points of the line are: (-1, 5) and (6, 40)
7 Distance of the line is the square root of (-1-6)2+(5-40)2 = 7*sq rt of 26
8 Length of line to 3 decimal places: 35.693
What else can I help you with?
How do you create an equation for a parabola?
An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.
Parabola y equals one-fourth x squared?
Yes.
What is the curvature of y equals x squared?
Y = X2 forms a parabola
Can you write 7 squared as a decimal?
Seven squared is 49, or 49.0 in decimal form.
What is the vertex of the parabola y equals 2x squared plus 12x 13?
(-3, -5)
What is the parabola?
A parabola is a type of graph that is not linear, and mostly curved. A parabola has the "x squared" sign in it's equation. A parabola is not only curved, but all the symmetrical. The symmetrical point, the middle of the parabola is called the vertex. You can graph this graph with the vertex, x-intercepts and a y-intercept. A parabola that has a positive x squared would be a smile parabola, and the one with the negative x squared would be a frown parabola. Also, there are the parabolas that are not up or down, but sideways Those parabolas have x=y squared, instead of y = x squared.
The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5 What is the coefficient of the squared term in the parabola's equation?
The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5. The coefficient of the squared term in the parabola's equation is -3.
The vertex of this parabola is at 5 5 When the x-value is 6 the y-value is -1 What is the coefficient of the squared expression in the parabola's equation?
The vertex of this parabola is at 5 5 When the x-value is 6 the y-value is -1. The coefficient of the squared expression in the parabola's equation is -6.
How do you create an equation for a parabola?
An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.
What is Y equals x squared plus 1?
It is the equation of a parabola.
Parabola y equals one-fourth x squared?
Yes.
The vertex of this parabola is at (2, -4) When the y-value is -3, the x-value is -3 What is the coefficient of the squared term in the parabola's equation?
-5
The vertex of this parabola is at 4 -3 When the x-value is 5 the y-value is -6 What is the coefficient of the squared expression in the parabola's equation?
-3
When the parabola concave downward and upward?
If the number in front of the x squared is negative, then the parabola will open upwards. The opposite occurs when the number is positive.
The vertex of this parabola is at (4 -3). When the x-value is 5 the y-value is -6. What is the coefficient of the squared expression in the parabola's equation?
-3
What is the curvature of y equals x squared?
Y = X2 forms a parabola
What are the coordinates of the straight line of y equals 5x plus 10 that meets the parabola of y equals x squared plus 4 at points A and B?
(6, 40) and (-1, 5)
