Answer: The area is 15 square units
Step-by-step explanation: It is helpful to sketch the coordinates on a graph to get an idea of what the triangle looks like so you can see which side will be the base, and where to get the height. You will see that AB is the hypotenuse, it is a right triangle, so AC can be the base and BC is the height.
Use the differences in x-values of points C & A to get the length of the base: 2-(-3) is 5
Use the differences in y-values of points B & C to get the height:
4-(-2) = 6
Area = bh/2
A = 5×6/2 = 30/2
A = 15 square unts
4^x=2×2^x=2×7=14
4^x-1=14-1=13
First you calculate the area of the big rectangle (ignoring the small one the bottom):
A1 = 10 x 6 = 60.
next you calculate the small one:
A2 = 2 x 2 = 4
Now you subtract the small one from the big one and you get:
Area of the figure = A1 - A2 = 60 - 4 = 56
X+10=110-4x
-x from both sides
10=110-5x
subtract 110 from both sides
-100=-5x
divide both sides by -5
x= 20
Answer: y=-5x-2
Step-by-step explanation: If you type all of the options into desmos calculator you will come up with 4 different graphs. Just simply find the graph with your coordinates on it. hope this helped :)
