Mathematics, 23.07.2020 14:01 Terrilady5

Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.

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Answer from: katiebonar13

$y-3=\frac{12}{5} (x-2)$ or $y=\frac{12}{5}x - \frac{9}{5}$

Step-by-step explanation:

First, rearrange the equation of the given line to the form y=mx+b

This makes it easier to identify the slope

12x-5y=2

5y=12x-2

y= (12x/5)-(2/5)

In this form, it is easier to see that the slope is m= 12/5

Since the lines are parallel, the slope is the same for both equations

Now, use the point-slope equation to find the equation of the parallel line

y-y_1= m (x-x_1)

Substitute the values of the given coordinate point (2,3) in for X1 and Y1

Y1=3

X1=2

Now, substitute the value of the slope into the equation too

The equation now becomes :

$y-3=\frac{12}{5} (x-2)$

The equation can be left in that form or simplified into the y=mx+b form

To simplify:

$y-3=\frac{12}{5} (x-2)$

$y-3=\frac{12}{5}x - \frac{24}{5}$

$y=\frac{12}{5}x - \frac{24}{5}+3$

$y=\frac{12}{5}x - \frac{9}{5}$

Answer from: Quest

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4

The blue segment below is a radius of o. what is the length of the diameter of the circle?

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

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