Ask question

Ask question

All categories

3 years ago

6

Add the expression. Write the sum in simplest form 3 /x+2 + x+1 / x^2 + 5x + 6

2 answers:

VladimirAG [237]3 years ago

8 0

Answer:

Step-by-step explanation:

$\frac{3}{x+2} +\frac{x+1}{x^2+5x+6} \\=\frac{3}{x+2} +\frac{x+1}{x^2+3x+2x+6} \\=\frac{3}{x+2} +\frac{x+1}{x(x+3)+2(x+3)} \\=\frac{3}{x+2} +\frac{x+1}{(x+3)(x+2)} \\=\frac{3(x+3)+x+1}{(x+3)(x+2)} \\=\frac{3x+9+x+1}{(x+3)(x+2)} \\=\frac{4x+10}{(x+3)(x+2)} \\=\frac{4x+10}{x^2+5x+6}$

$=\frac{2(2x+5)}{(x+3)(x+2)}$

Over [174]3 years ago

7 0

Answer: ?

Step-by-step explanation:

You might be interested in

For an outdoor concert by the city orchestra, concert organizers estimate that 13,000 people will attend if it is not raining .

Illusion [34]

7800 possibly? I'm not the best at math -.-

3 0

3 years ago

Ivory created a scaled copy of rectangle A.

9966 [12]

The scale factor that Ivory used to create their scaled copy is;

<u><em>Scale is 1 interval on graph represents 4 units of the rectangle. This is 1:4 ratio.</em></u>

From the given image, we can see that the y-axis of the rectangle has 3 intervals while the x-axis has 1 intervals

Now, from the image, we are told that the area of the scaled copy is 48 square units.

What this means is that the area of the triangle she is trying to represent with that graph is 48 square units.

Now, if one interval of the graph is x-units, then it means;

length; y-axis = 3x units

width; x-axis = x units

Area of a rectangle is given by;

Area = Length × width

Thus;

3x * x = 48

3x² = 48

x² = 48/3

x² = 16

x = √16

x = 4

<em>Thus, 1 interval on the graph represents 4 units of the rectangle.</em>

Read more at; brainly.com/question/17182684

8 0

2 years ago

What is the value of

vitfil [10]

Answer:

Can you please write a logical question

4 0

3 years ago

Simplify. 2u^2-2/ u^2-3u+2

aleksley [76]

2u-2u-4uequals 2u-2u+3+u+32

6 0

3 years ago

What is the surface area of this triangular prism? The base of each triangle is 42 m and the height of the triangular base is 20

shutvik [7]

<u>Given</u>:

The base of each triangular base is 42 m.

The height of each triangular base is 20 m.

The sides of the triangle are 29 m each.

The height of the triangular prism is 16 m.

We need to determine the surface area of the triangular prism.

<u>Surface area of the triangular prism:</u>

The surface area of the triangular prism can be determined using the formula,

$SA=bh+(s_1+s_2+s_3)H$

where b is the base of the triangle,

h is the height of the triangle,

s₁, s₂ and s₃ are sides of the triangle and

H is the height of the prism.

Substituting the values, we get;

$SA=(42)(20)+(42+29+29)(16)$

$SA=840+(100)(16)$

$SA=840+1600$

$SA=2440$

Thus, the surface area of the triangular prism is 2440 m²

8 0

3 years ago