Answer: The graph is shown below
The solution to the system is (x,y) = (2,3)
=============================================================
Explanation:
To graph 
, we need two points. Generating any (x,y) point involves picking a random x value to find its paired y value. For instance, if you plugged in x = 0, you should get to y = -2 which is the y intercept. Then trying something like x = 2 will lead to y = 3. This line goes through (0,-2) and (2,3). This line is shown in red below.
The blue line is horizontal and goes through 3 on the y axis. Every point on this horizontal line has the same y coordinate of 3. The x value doesn't matter, so it's not part of the equation y = 3.
The intersection of the red and blue line is the solution to the system. That intersection occurs at (x,y) = (2,3). This means x = 2 and y = 3 pair up together to make both original equations true.
Since this system has at least one solution, we consider it a consistent system.
Use the slope-intercept form y=mx+b
In the given diagram, the value of AC is 24. The correct option is B. 24
<h3>Properties of rectangle </h3>
From the question, we are to determine the value of AC
From one of the properties of a rectangle, we have that
The diagonals of a rectangle are equal and bisect each other.
Then, in the given diagram
AC = DB
Thus,
3x - 6 + 3x - 6 = 2x + 2x
6x -12 = 4x
6x - 4x = 12
2x = 12
x = 12/2
x = 6
In the diagram,
AC = 3x - 6 + 3x - 6
AC = 3(6) -6 + 3(6) - 6
AC = 18 - 6 + 18 - 6
AC = 24
Hence, the value of AC is 24. The correct option is B. 24
Learn more on the Properties of a rectangle here: brainly.com/question/23008020
#SPJ1
10)
60in=60in × (1ft/12in) = 5ft
30in= 30in × (1ft/12in) = 2.5ft
12in = 12in × (1ft/12in) = 1ft
answer is = 5ft × 2.5ft× 1ft =12.5 ft^3 = a
11)
dozen = 12 hammers
12 hammers = 20 pounds
therefore 1 hammer= 20/12 = 1.6666 lb
21 hammers ×1.666 = 35 = c
12)
convert qt to gal
600 gal × 4 qt/gal = 2400 qt
2400 qt ÷ 120 qt/min
=20 min = d
13)
Carla is 12
rob is 12+5= 17
cousin is 12-7 = 5
12+17+5= 34 =a
15)
convert 60ft into yards
60 ft × 0.333 yd/ft =20 yd
diameter = 20 yd
area of circle = (pi/4)×d^2
(pi/4)×20^2= 314.16 = b
A. 3 T-shirts, take 19 times 3, you get 57 dollars
