9514 1404 393
Answer:
see attached
Step-by-step explanation:
Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change) and "rise" (vertical change) between the marked points.
In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.
The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.
If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)
Answer: a = 4
Step-by-step explanation: Area of a triangle is calculated as: .
The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.
The points on the x-axis are the roots of the quadratic equation:
a(x-3)(x+2)=0
(x-3)(x+2)=0
x - 3 = 0
x = 3
or
x + 2 = 0
x = -2
So, base is the distance between (-2,0) and (3,0).
Since they are in the same coordinate, distance will be:
b = 3 - (-2)
b = 5
Area of the triangle is 10. So constant a is
5a = 10.2
a = 4
The constant a of the function y = a(x-3)(x+2) is 4.
Answer:
.545454545
Step-by-step explanation:
I used my calculator for it I am terribly sorry if it's wrong
Answer:
The answer to your question is FJ = 18
Step-by-step explanation:
Data
FG = 30
FH = 12
HE = 8
JH ║GE
These triangles are similar, so we can use proportions to find the length of FJ.
Substitution
Simplification
Solve for FJ
Result
FJ = 18
Answer:
The volume of the box is 41.21 inches cube.
Step-by-step explanation:
Given,
Width of the box inches
inches
Length of the box inches
inches
Height of the box inches
inches
The box is in cuboid form.
The volume of cuboid is given by (length × breadth × height ).
So,
volume of the box is × ×
=
inches cube
The volume of the box is 41.21 inches cube.