Pls help with these questions!

Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical va

pentagon [3]

Answer:

The answer is " $\frac{A}{(x-2)} + \frac{B}{(x+3)}$ "

Step-by-step explanation:

Let the given value is: $\frac{x-6}{x^2+x-6}$

$\to \frac{x-6}{x^2+x-6}=\frac{x-6}{x^2+(3-2)x-6}\\\\$

$=\frac{x-6}{x^2+(3-2)x-6}\\\\ =\frac{x-6}{x^2+3x-2x-6}\\\\ =\frac{x-6}{x(x+3)-2(x+3)}\\\\ =\frac{x-6}{(x+3)(x-2)}\\\\=\frac{A}{(x-2)} + \frac{B}{(x+3)}$

3 0

3 years ago

Fill in the common equivalents.<br> 1.) 662/3% = ?/?

baherus [9]

3% is the same as 0.03
Therefore, 662/3% = 662/0.03

5 0

3 years ago

4 Consider the triangle below.

Maurinko [17]

<h2>=>> <u>Solution (part A</u>) :</h2>

Given :

▪︎Triangle AMG is an isosceles triangle.

▪︎Measure of segment AM = (x+1.4) inches

▪︎Measure of segment MG = (2x+0.1) inches

▪︎Measure of segment AG = (3x-0.4) inches

▪︎segment AG is the base of triangle AMG.

Since AG is the base of the isosceles triangle AMG, segment AM and segment MG will be equal.

Which means :

$= \tt x + 1.4 = 2x + 0.1$

$= \tt x + 1.4 - 0.1 = 2x$

$= \tt \: x + 1.3 = 2x$

$= \tt 1.3 = 2x - x$

$\color{plum} \hookrightarrow \tt x = 1.3$

Thus, the value of x = 1.3

Therefore :

▪︎The value of x = 1.3

<h2>=>> <u>Solution (Part B)</u> :</h2>

We know that :

▪︎The value of x = 1.3

Which means :

The length of the leg AM :

$= \tt x + 1.4$

$= \tt 1.3 + 1.4$

$\color{plum} \tt leg \: AM= 2.7 \: inches$

Thus, the length of the leg AM = 2.7 inches

The length of leg MG :

$= \tt 2x + 0.1$

$= \tt2 \times 1.3 + 0.1$

$= \tt 2.6 + 0.1$

$\color{plum} \tt\: leg \:MG = 2.7 \: inches$

Thus, the length of the leg MG = 2.7 inches

Since the measure of the two legs are equal (2.7=2.7), we can conclude that we have found out the correct length of each leg.

Therefore :

▪︎Measure of leg AM = 2.7 inches

▪︎Measure of leg MG = 2.7 inches

<h2>=>> <u>Solution </u><u>(</u><u>part C</u><u>)</u> :</h2>

We know that :

Value of x = 1.3

Then, measure of the base AG :

$= \tt 3x - 0.4$

$= \tt 3 \times 1.3 - 0.4$

$= \tt 3.9 - 0.4$

$\color{plum}\tt \: Base \: AG = 3.5 \: inches$

Thus, the measure of the base = 3.5 inches

Therefore :

▪︎ the length of base AG = 3.5 inches.

6 0

3 years ago

Chen is growing vegetable plants. His bean plant is 6 centimeters tall. His tomato plant is 5 times as tall as his bean plant. w

Alinara [238K]

Answer:

6*5=30cm (Height of tomato plant)

Step-by-step explanation:

bean plant is 6 centimeters tall

tomato plant is 5 times as tall as his bean plant

6*5=30cm

6 0

3 years ago

Find the value of x plz i will mark brainliest

irinina [24]

Answer:

x=30

Step-by-step explanation:

Angle sum in a triangle=180

x+3x+2x=180

6x=180

x=30

4 0

2 years ago

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