Answer:
The Answer is approximately: 20.22
Step-by-step explanation:
The distance formula is:
d = Sqrt ((x - x1)^2 + (y - y1)2)
The points are (5, -14), (-15, -17)
d = Sqrt ((5 - (-15))^2 + (-14 - (-17))^2)
d = Sqrt ((5 + 15)^2 + (-14 + 17)^2)
d = Sqrt (20^2 + 3^2)
d = Sqrt (400 + 9)
d = Sqrt (409) = 20.22
<h2>
Answer:</h2>
<em>(Check the attached image).</em>
<h2>
Step-by-step explanation:</h2>
<h3>
1. Identify the given information.</h3>
a. We have the slope of the line, 1/4.
b. We also have a point of said line, because when the question states "y-intercept 5..." it's telling us that the lines touches the y intercept on the value y= 5, and this only happens when x= 0. Hence, a given point is (0, 5).
• Formula for constructing linear equations.
Formula: 
; where m is the slope of the function; x1 is the x value of a point the function passes through, and y1 is the y value of a point the function passes through.
<h3>2. Substitute in the formula and calculate the equation of the line.</h3>
<h3>3. Graph the line.</h3>
<em>(Check the attached image).</em>
Answer:
Step-by-step explanation:
B.(10,1)
Answer:
the airplane is 130.56 km south of the airport after 2 hours
Step-by-step explanation:
given data
travel speed = 120
time travel = 2 hour
direction = 260°
solution
we get here direst distance covered by plane in 2 hours that is
distance cover = 120 × 2
distance cover = 240 kilometers
and
the south component of the distance will be here as
distance = 240 × sin(270 - 260) = - 130.56
so the airplane is 130.56 km south of the airport after 2 hours
