Answer:
540 ft^2.
Step-by-step explanation:
The area of the trapezoid = h/2 (10 + 18) = 14h.
By Pythagoras the height h = √(5^2 - 4^2) = 3.
So the area of the 2 trapezoidal bases = 2 * 14*3
= 84 ft^2.
Now we calculate the area of the four lateral rectangular sides:
= 10*12 + 18*12 + 2*5*12
= 456 ft^2.
Total area = 456 + 54
= 540 ft^2.
Yesterday, Jake laid down 2/3 yards of duct tape on his tile floor. His friends wanted the line to be longer. Jake laid down 2/3 yards more duct tape. How long is the line of duct tape now?
Answer: PQ = 18
Step-by-step explanation:
You would divide 21/14 to see what the size difference in the triangles is to get 1.5. 1.5x12=18
Answer:
Step-by-step explanation:
If you plot these points on a coordinate plane, you see that they are on the same horizontal line, y = 7, with the focus 1 unit to the right of the vertex. This means that the parabola is a sideways opening parabola, to the right, to be more specific. That means that it has the basic vertex form

where p is the distance in units from the vertex to the focus, h is the first coordinate in the vertex, and k is the second coordinate in the vertex. For us, p = 1, h = 6, and k = 7. Now we will just fill the vertex form of the equation in with our values:

We will solve this for x now by dividing each side by 4 and adding over the 6:

Step-by-step explanation:
x=2 y=0
x= -2 y= -4
y=mx+b
b= 2
-4 = -2m +2
-2m= -6
m=3
y= 3x +2
.......
x=0 y=4
x=2 y= 2
y=mx+b
b=4
2=2m+4
2m= -2
m= -1
y = -x +4