Answer:
9x
Step-by-step explanation:
hshdhdhdxhhxhxhxhxhxhxhxhhxhxhxhhx
Answer:
c) Length = 12, width = 8 and height = 23.
Step-by-step explanation:
Let the length be x, then the width = x - 4 and the height = 2x - 1.
a) The polynomial is x(x - 4)(2x - 1)
b) x(x - 4)(2x - 1) = 2208
c) x(x - 4)(2x - 1) - 2280 = 0
2x^3 - 9x^2 + 4x - 2280 = 0
I'll use graphical software to find a solution for this. Its easily obtained online.
There is one real root and its x = 12.
So the dimensions of the box are L = 12, W = 8 and H = 23 inches.
The line is drawn at point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.
<h3>What is a line of symmetry?</h3>
It is defined as the line which will make exactly two halves with similar shape and size in geometry. For a two-dimensional shape, there is a line of symmetry, and for three-dimensional shapes, there is a plane of symmetry. In other words, if we make a mirror image of the shape around the line of symmetry, we will get exactly the same half portion.
We have given a figure in the picture.
The figure is a quadrilateral(a kite)
As we know, lines of symmetry make exactly two halves with similar shapes and sizes.
IF we draw a line from Point A to Point C we will get two similar and figures in size and shape.
Thus, the line is drawn point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.
Learn more about the line of symmetry here:
brainly.com/question/1597409
#SPJ1
Answer: option B is correct.
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (- 5, - 2) and (3, - 1),
y2 = - 1
y1 = - 2
x2 = 3
x1 = - 5
Slope,m = (- 1 - - 2)/(3 - - 5) = 1/8
To determine the intercept, we would substitute x = 3, y = - 1 and
m = 1/8 into y = mx + c. It becomes
- 1 = 1/8 × 3 + c
- 1 = 3/8 + c
c = - 1 - 3/8 = - 11/8
The equation becomes
y = x/8 - 11/8
False. Perpendicular lines run beside each other not through each other.
