Answer:
-8
Step-by-step explanation:
-4 (1)^2 -(1) -3
-4-1-3=-8
Equation of this line is K = -2J + 28
<u>Step-by-step explanation:</u>
Step 1:
The equation can be written in slope intercept form which is y = mx + b
Step 2:
Calculate slope of the line, m = (y2 - y1)/(x2 - x1)
⇒ m = (24 - 20)/(2 - 4) = 4/-2) = -2
Step 3:
Find y-intercept of the line
⇒ b = 28
Step 4:
Substitute values in the equation
⇒ K = -2J + 28
Side AB is 72 cm long.
Explanation:
To find the length of side AB you have to use this formula:

*Remember there are two legs (a and b) and a hypotenuse (c) on a triangle. The longest side will be the hypotenuse and the other two will be the legs. For this triangle the hypotenuse is side BC while the legs are sides CA and side AB.
Plug in the numbers into the equation.

For this triangle, you were given the hypotenuse (c) and one leg (a). To find the last length solve the equation and balance it so only b is left, like this:


Soo...

Then to get the side length, square root 5184.

So the length of the last side is 72 cm.
The answer is 21
By comparing the 4 vertices you can determine the rectangle x-length and y-length. The coordinate for the vertice is:
1,+4i
-2, +4i
-2, -3i
1, -3i
From the coordinate, you can see there are 2 x coordinate(1 and -2) and 2 y coordinate(4i and -3i) that used.
The x-length would be: 1 - (-2)= 3
The y-length would be: 4i- (-3i)= 7i
Then the area of the rectangle would be:
area= x-length * y-length= 3*7=21
Answer:
A: 8x-12
B: 5(n+3)
Step-by-step explanation:
A) Distribute 4 to the numbers inside the parenthesis.
4 x 2x= 8x
4 x -3= -12
8x-12
B) 5 is divisible to 15, so you can divide it with both numbers.
5/5=1
15/5=5
5(n+3)