Answer:
Step-by-step explanation:
The polynomial given for simplification is:
Now, we combine like terms using the commutative property of addition.
The commutative property of addition states that:
So, the order can be shuffled when we add terms.
The terms containing 't' are grouped together and the constant terms are grouped together. This gives,
Now, we group them using associative property and converse of distributive property as:
Simplifying the above expression, we get:
Therefore, the simplified form is
Refer to the attached image.
Given the rectangle ABCD of length 'l' and height 'h'.
Therefore, CD=AB = 'l' and BC = AD = 'h'
We have to determine the area of triangle AEF.
Area of triangle AEF = Area of rectangle ABCD - Area of triangle ADF - Area of triangle ECF - Area of triangle ABE
Area of triangle ADF = 
= 
= 
Area of triangle ECF =
= 
= 
Area of triangle ABE =
= 
= 
Now, area of triangle AEF =
Area of rectangle ABCD - Area of triangle ADF - Area of triangle ECF - Area of triangle ABE
= 
= 
=
=
= 27 units
Therefore, the area of triangle AEF is 27 units.
The answer is 12 , i hope this helped !!
The Answer would be B 30 because the triangles are equal to each other so you divide the 60 by 2
<h3>
Answer with explanation:</h3>
It is given that:
Circle 1 has center (−4, −7) and a radius of 12 cm.
Circle 2 has center (3, 4) and a radius of 15 cm.
Two circles are said to be similar if by some translation and dilation it could be placed over the other to form the same circle.
The circles are similar because the transformation rule ( x,y ) → (x+7,y+11) can be applied to Circle 1 and then dilate it using a scale factor of 5/4
( Since, as the center of circle 1 is (-4,-7)
so,
(-4+7,-7+11) → (3,4)
( Since, the radius of circle 1 is 12 and that of circle 2 is 15 cm.
so, let the scale factor be k .
that means :
)
