I’m assuming what you’re asking here is how to *factor* this expression. For that, let’s rearrange the expression into a more familiar form:
-c^2-4c+21
From here, we’ll factor out a -1 so that we have:
-(c^2+4c-21)
Let’s focus on the quadratic expression inside the parentheses. To find our factors (c + x)(c + y), we’ll need to find two terms x and y that multiply together to make -21 and add together to make 4. It turns out that the numbers -3 and 7 work out perfectly for that purpose (-3 x 7 = -21 and 7 + (-3) = 4), so substituting them in for x and y, we have:
(c + (-3))(c + 7)
(c - 3)(c + 7)
And adding back on the negative from a few steps earlier:
-(c - 3)(c + 7)
Please see pic, I'd solved in it.
Answer:
Step-by-step explanation:
we know that
The area of the shaded sections is equal to the area of the circle minus the area of the triangle
so
where
----> the radius is half the diameter
substitute
The number of times planet B can fit into planet A is; 1.15× 10⁷ times.
<h3>Volume divisions</h3>
According to the question;
- The volume of planet A is given to be approximately 1.5 x 10¹⁶ km³ and the volume of planet B is 1.3 x 10⁹km³.
From the problem statement above;
It follows that the number of times planet B can fit into A is;
- No. of times = 1.5×10¹⁶/1.3×10⁹.
Hence, N = 1.15× 10⁷ times.
Read more on division;
brainly.com/question/917110
