Answer:
(a + 4)(a + 6)
Step-by-step explanation:
f(a) = a² + 10a + 24
I think you are asking us to factor the quadratic.
1. Multiply the leading coefficient and the constant
1 × 24 = 24
2. Find two numbers that multiply to give 24 and add to give 10.
Possible pairs are 1, 24; 2, 12; 3, 8; 4, 6
Start with the numbers near the end of the list.
By trial and error, you will find that 4 and 6 work:
4 × 6 = 24 and 4 + 6 = 10
3. Rewrite 10a as 4a + 6a
a² +4a + 6a +24
4. Factor by grouping the first two and the last two terms
a(a + 4) + 6(a + 4)
5. Distribute the a + 4
(a + 4)(a + 6)
a² + 10a + 24 = (a + 4)(a + 6)
Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.
Anyway, it means that the area is given by

Since AB is a horizontal segment and AC is a vertical segment, their length is given by the absolute difference of the non-constant coordinate: points A and B share the same x coordinate, so we subtract the y coordinates:

The opposite goes for AC: points A and C share the same y coordinate, so we subtract the x coordinates:

So, the area is

Answer:
4
Why?
Any number divided by one is itself. Think of it this way. If I had four cookies and was sharing it amongst one person (hopefully myself) I'd get all the cookies!
Answer:
d
Step-by-step explanation:
Answer:
I might be wrong but I think this is the answer 10460353203
Step-by-step explanation: