Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
1 answer:
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A + 5 = 
(5a + 25)
First, simplify
to 
/ Your problem should look like: 
Second, multiply both sides by 5. / Your problem should look like:
Third, expand to get rid of parenthesis. / Your problem should look like:
Fourth, both sides are equal, resulting it having infinite solutions.
Answer: infinite solutions
First, simplify
Second, multiply both sides by 5. / Your problem should look like:
Third, expand to get rid of parenthesis. / Your problem should look like:
Fourth, both sides are equal, resulting it having infinite solutions.
Answer: infinite solutions
The bearing of the tree from Q is 296.565°
<h3>How to determine the height of the tree?</h3>The figure that illustrates the bearing and the distance is added as an attachment
The given parameters are:
Base of the tree, b = 50 meters
Angle (x) = 32 degrees
Calculate the height (h) of the tree using:
tan(x) = height/base
So, we have:
tan(32°) = h/50
Make h the subject
h= 50 × tan(32°)
Evaluate
h = 31.24
Hence, the height of the tree is 31.24 meters
<h3>How to determine the distance between Q and the base of the tree?</h3>The distance (d) between Q and the base of the tree
This is calculated using the following Pythagoras theorem
d = √(100² + 50²)
Evaluate
d = 111.80
Hence, the distance between Q and the base of the tree is 111.80 meters
<h3>How to determine the angle of elevation?</h3>The angle of elevation (x) using the following tangent trigonometric ratio
tan(x) = h/d
This gives
tan(x) = 31.24/111.80
Evaluate the quotient
tan(x) = 0.2794
Take the arc tan of both sides
x = 15.61
<h3>The bearing of the tree from Q </h3>This is calculated using:
Angle of bearing = 270 + arctan(50/100)
Evaluate the arc tan
Angle of bearing = 270 + 26.565
Evaluate the sum
Angle of bearing = 296.565
Hence, the bearing of the tree from Q is 296.565 degrees
Read more about bearings at:
#SPJ1
Explanation:
The question requires that we round the given number to Ten-thousand
To do so, we will have to write the place values of the numbers first
Next, we find the digits before the Ten-thousand digits and then approximate the value
One of the principles to use is that
numbers from 0 to 4 are rounded to 0
while numbers from 5 to 9 are rounded to 1
In our case, The thousand digit is 0, so we round down to 0, then we add to the Ten-thousand digits and convert each of the numbers before the Ten-thousand digits to 0
Thus, we will have
Hence, the answer is 1,370,000
