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Tpy6a [65]
4 years ago
13

Which expression is equivalent to

Mathematics
1 answer:
TiliK225 [7]4 years ago
3 0
x^2+3x+3+\dfrac{2x^2+13x+15}{x+5}=x^2+3x+3+\dfrac{2x^2+10x+3x+15}{x+5}=\\\\\\=
x^2+3x+3+\dfrac{2x(x+5)+3(x+5)}{x+5}=\\\\\\=x^2+3x+3+\dfrac{(2x+3)(x+5)}{x+5}=x^2+3x+3+2x+3=\\\\\\=\boxed{x^2+5x+6}

Answer B.
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Find the area of the given figure.<br> show your work please!
ICE Princess25 [194]

Answer:

30.3m^2

Step-by-step explanation:

I started off by finding the area of the semi circle. The formula πr^2 divided by 2. The radius of the circle is 2 because it is half of the diameter which is 4. So π(2)^2 divided by 2 is 6.3.

Next I broke apart the the shape into a rectangle and a triangle for simplicity sake.  So doing this I had to know where to cut and if you look at the top of the figure it shows 2m for the length at the top. So I put a vertical line there. Thus changing the 10m on the bottom to a 8m section and a 2m section. So the rectangle's area will be the length times the height which is 2x4=8.

The triangle's area can be found with the equation BH/2 and we the 8 base we found and a height of 4 it is 8x4/2. Which ends up as 16.

Finally you add up all three area's that you found 8+16+6.3=30.3

6 0
3 years ago
(8.4 times 10 to the 2 power)(2.5 times 10 to the 6 power)
Lelu [443]
8.4*10^2*2.5*10^6\to\boxed{21*10^8}
4 0
3 years ago
Read 2 more answers
Why negative integers are not in solution set
Lady bird [3.3K]
Negative numbers aren't in a solution set because in equations and inequalities you have to multiply and divide and a positive number divided by a negative number will be a negative number. Positive divided by positive will be positive. Negative divided by negative will be positive. So that's why negative numbers aren't a solution to any set or equation. 

hope this helps
5 0
4 years ago
1. Find the value of the variable x.<br><br> A) 7 √2/2<br> B) 7 √3/2<br> C) 14 √3<br> D) 14/3
Simora [160]

Answer:

\frac{ \sqrt{7} }{2}

Step-by-step explanation:

The triangle is an isosceles triangle. Because the triangle is an isosceles triangle, the height and base of the triangle are equal to eachother.

a² + b² = c²

right now we have c² which is 7

a² + b² = 7

\frac{ \sqrt{7} }{2}

because a² and b² are = to eachother

now im lost dony listen to me lol.

6 0
3 years ago
What is the range of the shoe sizes?
maria [59]

Answer:

The answer will be 9 and the frequency will be 18

3 0
3 years ago
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