Answer:
Yes, parallelogram OABC is a rectangle.
Step-by-step explanation:
The vertices of a parallelogram are O(0,0), A(-4,1), B(-3,5) and C(1,4).
A parallelogram is a rectangle if its any two adjacent sides are perpendicular to each other.
product of slopes of two perpendicular lines is -1.
Formula for slope is
Using the formula we get
It means OA is perpendicular to AB.
Since two adjacent sides are perpendicular, therefore the given parallelogram OABC is a rectangle.
10 is not a perfect square however 100 is. This is because a square is defined as numbers that are the product of another whole number when multiplied by itself. So, 10x10=100, making 100 a perfect square. However, no number multiplied by itself equals 10, meaning 10 is NOT a perfect square.
Answer:
45 cm^2
Step-by-step explanation:
Dividing the shape into the two separate components of a square and a triangle makes it easier.
The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.
Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.
Which would be 1/2*6*3=9cm^2.
Adding the two, 9+36= 45cm^2.
Answer:
A special relationship where each input has a single output. Example: f(x) = x/2 the fuction of x is x divided by 2")
Step-by-step explanation:
perimeter = length + length + width + width
P = 2L + 2W
2L + 2W = P
2L + 2(6.5) = 34
2L + 13 = 34
If all you need is the equation, then the answer is the line just above.
If you need to find the length, then we solve the equation for L as shown below.
2L = 21
L = 10.5
Answer: The length is 10.5 units.