1. Irrational
2. Irrational
3. Rational
4. Rational
An equation represents a line that passes through (-2, 4) and has a slope of 2/5 is y-4 = 2/5(x+2)
<h3>Equation of a line</h3>
The equation of a line in point-slope form is expressed as;
y-y1 = m(x - x1)
where
m is the slope
(x1, y1) is any pint on the line
Substitute the given parameter
y - 4 = 2/5(x-(-2))
y-4 = 2/5(x+2)
Hence an equation represents a line that passes through (-2, 4) and has a slope of 2/5 is y-4 = 2/5(x+2)
Learn more on equation of a line here: brainly.com/question/13763238
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Answer:
1.75 gallons
Step-by-step explanation:
First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...
2 + 1.75 = 3.75 miles
The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...
3.75 - 0.5 = 3.25 miles
Leaving us with a total hiking distance of
3.75 + 3.25 = 7 miles.
Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.
7 * 0.25 = 1.75 gallons
Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.
Y=-1/2+1
Hope this helps :)
Answer:
Step-by-step explanation:
For this case we know that we have 12 cards of each denomination (hearts, diamonds, clubs and spades) because 12*4= 52
First let's find the number of ways in order to select 5 diamonds. We can use the combinatory formula since the order for this case no matter. The general formula for combinatory is given by:
So then 12 C5 would be equal to:
So we have 792 was in order to select 5 diamonds from the total of 12
Now in order to select 3 clubs from the total of 12 we have the following number of ways:
So then the numbers of ways in order to select 5 diamonds and 3 clubs are:
