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3 years ago

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a line passes through point (-2,5) and has a slope of 2/3 points A(x,3) and B (-2,y) lie on the line. whats the value of x and w

hats the value of y

1 answer:

Ivenika [448]3 years ago

5 0

Answer:

23

Step-by-step explanation:

idk how i got that but i guess search it up

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(6x - 3) - (-3x + 2)

nadezda [96]

Answer:

Step-by-step explanation:

Simplifying

6x + -3 = (3x + -2)

Reorder the terms:

-3 + 6x = (3x + -2)

Reorder the terms:

-3 + 6x = (-2 + 3x)

Remove parenthesis around (-2 + 3x)

-3 + 6x = -2 + 3x

Solving

-3 + 6x = -2 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-3 + 6x + -3x = -2 + 3x + -3x

Combine like terms: 6x + -3x = 3x

-3 + 3x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0

-3 + 3x = -2 + 0

-3 + 3x = -2

Add '3' to each side of the equation.

-3 + 3 + 3x = -2 + 3

Combine like terms: -3 + 3 = 0

0 + 3x = -2 + 3

3x = -2 + 3

Combine like terms: -2 + 3 = 1

3x = 1

Divide each side by '3'.

x = 0.3333333333

Simplifying

x = 0.3333333333

6 0

2 years ago

Please, I need help in this ??

nignag [31]

Answer:

$\int\frac{x^{4}}{x^{4} -1}dx = x + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1)-\frac{1}{2} arctanx + c$

Step-by-step explanation:

$\int\frac{x^{4}}{x^{4} -1}dx$

Adding and Subtracting 1 to the Numerator

$\int\frac{x^{4} - 1 + 1}{x^{4} -1}dx$

Dividing Numerator seperately by $x^{4} - 1$

$\int 1 + \frac{1}{x^{4}-1 }\, dx$

Here integral of 1 is x +c1 (where c1 is constant of integration

$x + c1 + \int\frac{1}{(x-1)(x+1)(x^{2}+1)}\, dx$ ----------------------------------(1)

We apply method of partial fractions to perform the integral

$\frac{1}{(x-1)(x+1)(x^{2}+1)}$ = $\frac{A}{x-1} + \frac{B}{x+1} + \frac{C}{x^{2} + 1}$ ------------------------------------------(2)

$\frac{1}{(x-1)(x+1)(x^{2}+1)} = \frac{A(x+1)(x^{2} +1) + B(x-1)(x^{2} +1) + C(x-1)(x+1)}{(x-1)(x+1)(x^{2} +1)}$

1 = $A(x+1)(x^{2} +1) + B(x-1)(x^{2} +1) + C(x-1)(x+1)$ -------------------------(3)

Substitute x= 1 , -1 , i in equation (3)

1 = A(1+1)(1+1)

A = $\frac{1}{4}$

1 = B(-1-1)(1+1)

B = $-\frac{1}{4}$

1 = C(i-1)(i+1)

C = $-\frac{1}{2}$

Substituting A, B, C in equation (2)

$\int\frac{x^{4}}{x^{4} -1}dx$ = $\int\frac{1}{4(x-1)} - \frac{1}{4(x+1)} -\frac{1}{2(x^{2}+1) }$

On integration

Here $\int \frac{1}{x}dx = lnx and \int\frac{1}{x^{2}+1 } dx = arctanx$

$\int\frac{x^{4}}{x^{4} -1}dx$ = $\frac{1}{4} ln(x-1)$ - $\frac{1}{4} ln(x+1)$ - $\frac{1}{2} arctanx$ + c2---------------------------------------(4)

Substitute equation (4) back in equation (1) we get

$x + c1 + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1) - \frac{1}{2} arctanx + c2$

Here c1 + c2 can be added to another and written as c

Therefore,

$\int\frac{x^{4}}{x^{4} -1}dx = x + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1)-\frac{1}{2} arctanx + c$

4 0

3 years ago

Can u please help me with this

Art [367]

Answer:

Acute angle, 85 degrees. That's my guess I hope it helps.

7 0

2 years ago

A researcher is interested in estimating the average salary of police officers in a large city. She wants to be 95% sure that he

inn [45]

Answer:

The sample size is 183.

Step-by-step explanation:

Given:

σ = $1050, ppulatin standard deviation

99% confidence interval

Accuracy = +/- $200

The accuracy is given by

z*(σ/√n)

where

z* = 2.576 for 99% confidence level (from tables)

n = sample size

Therefore

2.576(1050/√n) = 200

√n = (2.576*1050)/200 = 13.524

n = 182.9

<em>The sample size is 183</em>

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6 0

3 years ago

Help please thank you

Artist 52 [7]

Answer:

uahabsihsb

Step-by-step explanation:

shahabajwnznjsiay
znsbsk
sksisn

7 0

2 years ago