Answer:

General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Alg I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (2, 6)
Point (1, 9)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract:

- Divide:

Answer:
Domain is x and Range is y
Step-by-step explanation:
Domain-(16,-15,22,-1,-6)
Range-(5,-17,-16,-4,-14)
Answer:
look at my Step-by-step explanation
Step-by-step explanation:
The perpendicular bisector of a line segment
open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.
Call the two points where these two arcs meet C and D. Draw the line between C and D.
CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.
Proof. top.
Y = -1/2x - 6......u have a slope of -1/2....u have a y int of -6 or (0,-6)
the x int can be found by subbing in 0 for y and solving for x
0 = -1/2x - 6
1/2x = -6
x = -6 * 2
x = -12.....so ur x int is -12 or (-12,0)
so go ahead and plot ur intercepts.....(0,-6) and (-12,0)...well...u cant really plot ur x axis because ur graph is not big enough....so start at (0,-6)...and I know the slope is -1/2....and u would usually start at (-12,0)...but that is not on the graph....so start at (0.-6)....and go up 1 and to the left 2, plot that point....then up 1 and to the left 2...plot that point......u would eventually cross the x axis at (-12,0).
or u could just go to desmos....its a graphing calculator...and see for urself
Answer:
To the nearest cm
Width of the rectangle = 224cm
Step-by-step explanation:
Imagine a rectangle shape,
both opposite sides are equal, ie both lengths are equal and also applicable to the widths
Length is 2m
It's diagonal is 3m
The diagonal is a line that crosses from one length of a side to the other slantly, ie from one edge to the other, dividing the rectangle into two right angled triangles
The longest line will be the diagonal which is 3m
And the base length will be the length which is 2m
The width is what we are looking for which is represented with x
To solve this problem, we use Pythagoras' rule
x^2 = a^2 + b^2
Let x be diagonal side
a be length
b be the unknown width
Inserting into the formula
x^2 = a^2 + b^2
3^2 = 2^2 + b^2
9 = 4 + b^2
9 - 4 = b^2
5 = b^2
Square root of 5
b = 2.24m
The width = 2.24m
According to the question, we are asked to give the answer in nearest cm
Since 1cm = 0.01m
x cm = 2.24m
Then we cross multiply
1cm * 2.24m = xcm * 0.01m
x = 2.24 / 0.01
x = 224cm