find the equation of the line that passes through the point of intersection of 3x-y=10 and 4x+2y=10, and that is perpendicular to 2x-6y+24=0

Answers

Answer 1

Answer: Hello,

1) we must find the point of intersection of the 2 lines

3x-y=10
4x+2y=10
==>10x=30 ==>x=3 and y=3*3-10=-1
(3,-1)

2) we must find the slope of the line:

2x-6y+24=0==>y=x/3+4 slope=1/3
The perpendicular has as slope m*1/3=-1==>m=-3

The equation of the line is y+1=-3(x-3) or y=-3x+8

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what is the difference between dependent variable independent variable vs response variable explanatory variable?

Answers

Answer:

Step-by-step explanation:

we are to distinguish between

dependent variable independent variable

response variable explanatory variable

An independent variable is one which is not affected by any other variable for example, the amount we spend, the time we study ,etc.

An explanatory variable is a type of independent variable but not fully independent but depends on some factors.

Though explanatory and independent variables are practically used interchangeably the main difference is explanatory variable is not independent but explains the variations in the response varaible.

1. El tamaño de un glóbulo blanco de aproximadamente es de aproximidamente 0,000012 metros, mientras que el tamaño de un glóbulo rojo es de 0.0000065m. ¡Cuál es la diferencia entre el tamaño de un glóbulo blanco y el tamaño de un glóbulo rojo?.Expresar el resultado en Notación Científica.

Answers

Answer:

The difference between the size of white blood cells and the size of red blood cells in scientific notation is $5.5 * 10^(-6)$ m.

Step-by-step explanation:

we are given that the size of white blood cells is 0.000012 metres and the size of red blood cells is 0.0000065 metres.

And we have to find the difference between the size of both cells in scientific notation.

SO, Size of White blood cells = 0.000012 m

Size of Red blood cells = 0.0000065 m

Now, Difference between both cell sizes = Size of white blood cells - Size of Red blood cells

= 0.000012 m - 0.0000065 m

= 0.0000055 m

Now, in scientific notation it is represented as = $5.5 * 10^(-6)$ m

Hence, the difference between the size of white blood cells and the size of red blood cells in scientific notation is $5.5 * 10^(-6)$ m.

What is the answer for 4x+3=36

Answers

$4x + 3 = 36\n4x = 36 - 3\n4x = 33\nx = (33)/(4)$

A car enters an interstate highway 20 mi north of a city. The car travels north at an average speed of 58 mph. Which equation models the car’s distance d from the city after traveling for h hours?

Answers

the answer would be 20 d = h + 58

You sell pies at a farmers' market for $7.50 each. Five people want to share a pie by splitting the cost equally. How much will each of them need to pay to buy a whole pie together?