Answer:
10 square in.
Step-by-step explanation:
The rectangles are similar by a scale factor of 3. We can tell because the quotient of two of the corresponding sides, 18 and 6, is 3 (18/6=3)
That means the width of ABCD is 3 times the width of WXYZ.
Let's say the width of ABCD is x. Then 18*x=90 because that's the area.
x=90/18=5
Now we have the width of ABCD, 5, so to get the width of WXYZ, we divide by 3, which is 5/3.
Now to get the area of WXYZ, we can do 5/3, the width, times 6, the length, which is 30/3=10.
Answer:
1/2 and 4/8 1/2 and 3/8 are not equivalent.
Step-by-step explanation:
Answer: (6a + 5b) • (6a - 5b)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "b2" was replaced by "b^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(36 • (a2)) - 52b2
Step 2 :
Equation at the end of step 2 :
(22•32a2) - 52b2
Step 3 :
Trying to factor as a Difference of Squares :
3.1 Factoring: 36a2-25b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 36 is the square of 6
Check : 25 is the square of 5
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (6a + 5b) • (6a - 5b)
Final result :
(6a + 5b) • (6a - 5b)
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