Answer:
Step-by-step explanation:
Area of the shaded region = area of the large rectangular - area of the small rectangle
Area of rectangle is given as l*w
Area of the large rectangle = 
Expand
Area of large rectangle 
Area of small rectangle = 
Area of small rectangle = 
Area of shaded region = 
Collect like terms
What is the Pythagorean Theorem?
The PyTheorem states that -- actually, why not just simplify things and make it a formula?
where a and b are legs of a triangle and c is the hypotenuse of a triangle.
It is only true applying to right triangles.
Now what are the legs of a triangle?
The sides that are NOT opposite the 90 degree angle!
Now, all you have to do is find the LENGTHS of the three triangles!
Rise over run, remember?
Let's take the triangle in the top right of the coordinate plane for example.
A=(1,1)
B=(4,4)
unnamed point=(4,1)
Rise, or length of unnamed point to B?
(4,1) to (4,4)
(x,y), remember!
So? 4-1=3!
Run, or length of unnamed point to A?
(1,1) to (4,1)
Remember (x,y)?
So, 4-1=3!
The triangle has legs of 3 and 3.
Square em and add!
9+9=18
That's for length of AB!!
Now do the same for the remaining lengths!
Hope this helps!
<span>Choices:
y=4x-1
y=2/7x
y=7/2x
y=7/x
(2,7) </span>⇒ x = 2 ; y = 7
y = 4x - 1 ⇒ y = 4(2) - 1 ; y = 8 - 1 ; y = 7
y = 2/7x ⇒ y = 2/7(2) ; y = 2/14 ; y = 1/7
y = 7/2x ⇒ y = 7/2(2) ; y = 7/4 ; y = 1 3/4
y = 7/x ⇒ y = 7/2 ; y = 3 1/2
Among the choices, only y = 4x - 1 is the direct variation that contains the ordered pair (2,7)
The 3rd side would have to be at least 1 foot (4 minus 3) and no longer than 7 feet (4 plus 3).
Answer:
x=12
Step-by-step explanation:
