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)
M’(2, 3)
Work:
x: -1 + 3 = 2
y: 5 - 2 = 3
For this case, we can model the problem as a rectangle triangle.
We know:
Height of the triangle.
Base of the triangle.
We want to know, angle between the hypotenuse and the base of the triangle.
For this, we use the following trigonometric relationship:
Clearing the angle we have:
Answer:
the angle of depression from the spotlight to the bottom of the door is:
A) 39 degrees
Answer:
Step-by-step explanation:
No, thoose two ratios are not equivalent, but I can show you the ones that are equivalent, {You can write 5/7 or 10/14 or 20/28 or 40/56. There! 3 equivalent ratios.}
Answer: y =7/4x
Step-by-step explanation:
The y-intercept is 0. To find the slope, do the change in y over the change in x. At the point on the graph, there is a slope of 14/8 = 7/4
