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Degger [83]
2 years ago
6

What is the equation of a line that is parallel to the given line and passes through the point (-2,2)

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
3 0

The equation of the line will be y = \dfrac{1}{5}x + \dfrac{12}{5}

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

First, we need to find the equation of the line that is given:

We can use the formula,

m = \dfrac{y_1 - y_2}{x_1-x_2}

m=\dfrac{-3-(-4)}{0-(-5)}=\dfrac{1}{5}

So the equation for this line is  

y = (1/5) x - 3

This means that the equation for the line we are trying to find has a slope of as well

Let's put the points in the equation and try to find the y-intercept:

2 = \dfrac{1}{5} ( -2 ) + b

\dfrac{15}{5} = b

So the final equation for the line we are trying to find is y = \dfrac{1}{5}x + \dfrac{12}{5}

To know more about equations follow

brainly.com/question/2972832

#SPJ1

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X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to
Cerrena [4.2K]

Answer:

7

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

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P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7

5 0
3 years ago
B - (- 7) =-1<br> what is b?
irina1246 [14]

B-(-7)= -1

First negative multiply by negative is POSITIVE.

So: B+7= -1

Subtract 7 from both sides

B= -7-1

B= -8.

Answer: -8.

To Check Answer: Plug in the variable of B in the original equation.

So: -8-(-7)= -1

-8+7= -1

-1= -1

If the Solution works out the answer is right.

4 0
3 years ago
Read 2 more answers
5. (09.06 MC)
polet [3.4K]

Answer:

12.566

Step-by-step explanation:

A = ∫1/2(r)^2dtheta from a - b = 0 to 2π

∫1/2(sin^2theta-4sintheta+4)dtheta

[9/4theta+2costheta-1/8sin2theta] from 0 to 2π…

when you solve this you get 14.137 without taking out the cos(2theta+3)

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2 years ago
La casa de prestamos la mejor cobra el 7% de interes mensual.Es decir por cda 100 paga solo 7 pesos
Marizza181 [45]

Responder:

Por favor, consulte la explicación.

Explicación paso a paso:

Dado que :

Los mejores cargos por préstamos hipotecarios:

Interés mensual = 7%

Intereses pagados sobre capital de 100 pesos

Intereses pagados = principal * tasa de interés

Intereses pagados = 100 * 7%

Intereses pagados = 100 * 0.07

Intereses pagados = 7 pesos

De ahí que los intereses pagados por un préstamo de 100 pesos sean 7 pesos

3 0
2 years ago
Please please answer What is 4328 divided by 4
Lerok [7]
It is 1082. 

I hope it helps, you can do more on a calculator. :)))
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