Hiking on the map, AB represents a trail that you are hiking. You start from the beginning of the trail and hike for 90 minutes
at a rate of 1.4 mph how much farther do you need to hike to reach the end of the trail
1 answer:
Answer:
Distance remaining = 3.1 miles
Step-by-step explanation:
Distance between A(3, 2) and B(8.2, 2) can be calculated by the formula,
d =
AB =
= 5.2 mi
Since you have hiked for "90 minutes or 1.5 hours" at the rate of 1.4 mph,
From the formula,
Speed =
1.4 =
Distance traveled = 1.4 × 1.5
= 2.1 miles
Distance remaining to travel = 5.2 - 2.1
= 3.1 miles
Therefore, distance remaining to travel = 3.1 miles
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Step-by-step explanation:
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We are given time in minutes.
According to given table, we are given times 0 minute, 10 minutes and 15 minutes.
And depths are given 3, 5 and 6.
Times represents x coordinates and depths represents y-coordinates.
First we need to find the depth of the tank in per unit time( in a minute).
In order to find the depth of the tank in per unit time, we need to find th slope between two coordinates.
Let us take first two coordinate made using table (0,3) (10,5)
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Plugging values in slope formula, we get
m=
We got slope m= 1/5=0.2.
We can say that depth of the tank is increasing by rate 0.2 per minute.
From the given table, we can see that for x=0, y value is 3.
Therefore, y-intercept is 3.
Let us write an equation of the line for given table in slope-intercept form y=mx+b.
Plugging values of m and b in slope-intercept form, we get
y= 0.2x+3.
We need to find the depth after 1/2 hours.
1 hour = 60 minutes,
Therefore, 1/2 hours = 60/2 = 30 minutes.
Plugging value of x=30 in above slope-intercept form of the equation, we get
y= 0.2(30)+3.
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y=9
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Answer:
Reflect the parent function over the x-axis, and translate it 8 units to the left.
Step-by-step explanation:
The given function is
The parent function is
Since there is a negative multiply the transformed function, there is a reflection in the x-axis.
Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.
Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.