Answer: The coordinates of the midpoint (1.5, -0.5)
Step-by-step explanation:
For the x-coordinate, find the difference between -1 and 4. That's 5. Take half of 5 and add to -1. So -1+2.5= 1.5
For the y-coordinate, the difference between -6 and 5 is 11. Half of 11 is 5.5. Add -6 + 5.5= 0.5
Answer:
21
Step-by-step explanation:
3 (7) = 21
Answer:

Step-by-step explanation:
7y⁴ = 7y²(z - 3ax)
Divide both sides by 7y².
y² = z - 3ax
Add 3ax to both sides. Subtract y² from both sides.
3ax = z - y²
Divide both sides by 3a.

radical expression - an expression that contains a radicalrationalize - eliminate the radical from the denominator of a fractionradicand - the expression under a radical symbolrational number - a number that can be written as a ratio of two integers in the form a/b where b does not equal 0
Answer:
The factors are: (3a+2b +ab-6)(3a+2b -ab+6)
Step-by-step explanation:

We need to solve the above expression using factorization.
Multiplying (a^2-4)(9-b^2)
9(a^2-4)-b^2(a^2-4) + 24ab
9a^2 -36 -a^2b^2+4b^2 + 24ab
Rearranging:
9a^2 + 4b^2 +24ab -36 -a^2b^2
We try to make perfect square of the form a^2+2ab-b^2
We have 24ab that can be written as 12ab + 12ab
Now, we can arrange the above equation:
9a^2 +12ab+ 4b^2 -(a^2b^2-12ab +36)
(3a)^2 +2(3a)(2b) + (2b)^2 -((ab)^2 -2(ab)(6)+(6)^2)
The perfect square will be:
(3a+2b)^2 - (ab-6)^2
Now We know a^2 - b^2 = (a+b)(a-b)
Here a = 3a+2b , b=ab-6
So,
(3a+2b +(ab-6))(3a+2b - (ab-6))
(3a+2b +ab-6)(3a+2b -ab+6)
So, the factors are: (3a+2b +ab-6)(3a+2b -ab+6)