Answer:
b = y-intercept; The equation is y = mx + b. The x and y variables remain as letters, but m and b are replaced by numbers (ex: y = 2x + 4, slope = 2 and y-intercept = 4). The following video will show a few examples of understanding how to use the slope and intercept from an equation.
Vertex (4, -13) y = x^2 - 8x + 3 x-coordinate of vertex: x = -b/(2a) = 8/2 = 4 y-coordinate of vertex: y(4) = 16 - 32 + 3 = -13 Vertex (4, -13) To find y-intercepts, make x = 0 --> y = 3 To find x-intercepts, solve the quadratic equation y = 0 Use the improved quadratic formula D = d^2 = b^2 - 4ac = 64 - 12 = 52 --> d = +- 2sqrt13 There are 2 x-intercepts (2 real roots): x = -b/(2a) +- d/(2a) = 8/2 +- (2sqrt13)/2 = 4 +- sqrt13 graph{x^2 - 8x + 3 [-40, 40, -20, 20]}
Step-by-step explanation:
Answer:
I'm old and the way I was taught about fraction division was:
INVERT AND MULTIPLY.
SO: (5/8) divided by (1/4) equals
(5/8) multiplied by (4/1) which equals (20/8) or 2.5
Step-by-step explanation:
The area of the composite shape is the sum of the area of the triangle and the area of the rectangle. The area of the composite shape is 53 in².
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The composite is made up of triangles and rectangles.
The area of the composite shape will be the sum of the area of the triangle and the area of the rectangle.
The area of the triangle will be
The area of the rectangle will be
The area of the composite shape is 48 + 5 = 53.
The area of the composite shape is 53 in².
More about the geometry link is given below.
brainly.com/question/7558603
The original cost 35 more than this one. Therefore:
149+
