The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is 
<u>Solution:</u>
Given, expression is 
We have to factorize the given expression completely.
Now, take the expression

Taking
as common term,

Taking "a" as common term,

Taking "6" as common term,

Splitting "3a" as "4a - a" we get,


Hence, the factored form of given expression is 
The answer is D, shape 2's 'tail' is longer than shape 1's
Answer:
The height of rectangle is 5 inches
Step-by-step explanation:
<u><em>The correct question is</em></u>
A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height
Let
x -----> the width of the rectangle in inches
y ----> the height of the rectangle in inches
d ---> diagonal measurement of the rectangle in inches
we know that
Applying the Pythagorean Theorem

we have

so

----> equation A
---> equation B
substitute equation B in equation A

solve for y



solve the quadratic equation by graphing
using a graphing tool
The solution is y=5
see the attached figure
therefore
The height of rectangle is 5 inches
Answer:
72
Step-by-step explanation:
2*-5=-10
-10*-6=60
60-(-12)=60+12=72
Answer:
a = 7
Step-by-step explanation:
I think, what you need to do, is first understand how to find the mean of anything: It's quite simple, actually, just add up all the numbers, then divide that number by the number of numbers. So, let's put it in perspective:
10, 3, 4, a, 6, 9, 10
7 is the mean. 7 is the number of numbers.
If, to find the mean is: 10 + 3 + 4 + a + 6 + 9 + 10= 7a ÷ 7, then: 10 +3 + 4+ 6 + 9 +10= 42
42 plus what divided by 7 is the question now.
42 + a ÷ 7= 7
So, 7 times 7, that's 49 minus 42 and you've got your answer: 7