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2 years ago

PLEASE HELP!!!

Mathematics

2 answers:

barxatty [35]2 years ago

5 0

Answer: the correct answer is “ incorrect; Jason must also prove that all sides are congruent by using the distance formula.

Step-by-step explanation:

Ratling [72]2 years ago

3 0

B)correct rhombus has two pairs of parallel sides......

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What is the antiderivative of 3x/((x-1)^2)

Maslowich

Answer:

$\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

Step-by-step explanation:

Given

$\int \:\:3\cdot \frac{x}{\left(x-1\right)^2}dx$

$\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx$

$=3\cdot \int \frac{x}{\left(x-1\right)^2}dx$

$\mathrm{Apply\:u-substitution:}\:u=x-1$

$=3\cdot \int \frac{u+1}{u^2}du$

$\mathrm{Expand}\:\frac{u+1}{u^2}:\quad \frac{1}{u}+\frac{1}{u^2}$

$=3\cdot \int \frac{1}{u}+\frac{1}{u^2}du$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx$

$=3\left(\int \frac{1}{u}du+\int \frac{1}{u^2}du\right)$

$\int \frac{1}{u}du=\ln \left|u\right|$ ∵ $\mathrm{Use\:the\:common\:integral}:\quad \int \frac{1}{u}du=\ln \left(\left|u\right|\right)$

$\int \frac{1}{u^2}du=-\frac{1}{u}$ ∵ $\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1$

$=3\left(\ln \left|u\right|-\frac{1}{u}\right)$

$\mathrm{Substitute\:back}\:u=x-1$

$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)$

$\mathrm{Add\:a\:constant\:to\:the\:solution}$

$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

Therefore,

$\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

4 0

2 years ago

PLEASE HELP IK ITS SO HARD TO UNDERSTAND FOR MEEE

Minchanka [31]

Answer: 15

Step-by-step explanation:

First step is to find the slope of the line given

y = -x - 2

y = mx + c where m is the slope of the line so the slope of the line is -1

If 2 lines are perpendicular to one another, the product of the slopes is -1 so the slope of the perpendicular line is -1/-1 = 1

y = 1x + c or y = x + c

As the line passes through the coordinate (-5,10), we can substitute the x and y value of the coordinates into the equation

10 = -5 + c

c = 15

So the equation of the line is y = x + 15

4 0

1 year ago

Perform the operation. Enter your answer in scientific notation. 7 × 102 − 5.6 × 102 =

Zarrin [17]

The answer is 142.8

3 0

2 years ago

Allison ate 7 of her 20 apples. What percent of the apples did she eat?

Brrunno [24]

Answer:

Percentage of apples ate by Alison = 35 %

Explanation:

Percentage of a process = (Number of process in favor / Total number of processes) x 100

Total number of apples in the hand of Alison = 20

Total number of apples ate by Alison = 7

Percentage of apples ate by Alison = ( Total number of apples ate by Alison/Total number of apples in the hand of Alison) x 100

$=\frac{7}{20} *100=35%$

Percentage of apples ate by Alison = 35 %

3 0

2 years ago

Write an equation that represents the line.<br> Use exact numbers.

Alja [10]

y=1.5x+3

Observing the graph

Let,

A(0,3) -----> this point is the y-intercept of the line

B(2,6)

We know that

The equation of the line into slope intercept form is equal to

y = mx + c

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem

b=3

Find the slope of the line m

The formula to calculate the slope between two points is equal to

m = y2-y1 / x2-x1

substitute the values

m = 6-3 / 2-0

m = 3/2

m = 1.5

The equation of the line is

y= 1.5x+3

To know more about Slope

Refer this link:

brainly.com/question/3493733

#SPJ1

8 0

5 months ago