Answer:
y = (-1/ 8)x - 10
Step-by-step explanation:
in slope intercept form we write the equation of a line as
y = mx + c
where m is the slope
and c is the intercept made on te y-axis
therefore, just putting the values in place
y = (-1/ 8)x - 10
therefore write -1/ 8 in the first blank and
10 in the other
330 km/hr
Step-by-step explanation:
To find speed of the plane against the headwind;
600 km / 2 hours = 300 km/hr
Speed of plane with the wind in its back;
600 km / 5/3 hours = 600 * 3/5 = 360 km/hr
We can create a simultaneous equation from this data.
Assume the speed on pane in still air is x km/h
Assume the speed of wind is y km/h
Therefore;
x – y = 300
x + y = 360
Solving the simultaneous equation by elimination gives us;
x – y = 300
-
x + y = 360
=
-2y = - 60
y = 30
x = 330
The speed of the plane without wind is;
= 330 km/hr
The wind speed is;
= 30 km/hr
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Start off by finding the slope of the line with the formula .
Substitute the values.
Subtract.
Simplify.
is the slope of the line.
Now, use the point-slope formula to create an equation, where is the slope and is a known point on the line.
Substitute the values.
Simplify.
Move the to create the final equation in slope-intercept form.
9514 1404 393
Answer:
not tangent
Step-by-step explanation:
AB will be tangent to circle O if AB ⊥ BO. That can be tested by checking to see if AB, BO, and AO satisfy the Pythagorean theorem.
According to the Pythagorean theorem, the length of the hypotenuse of a right triangle with legs 3.75 and 8 will be ...
hypotenuse = √(3.75² +8²) = √78.0625 ≈ 8.835
The length of AO is somewhat greater than that, so AB cannot be a tangent to the circle.
__
The angle ABO is obtuse.
Answer: -3/-1 or 3/1 is the rate of change
Step-by-step explanation:
(0,2)
(3,3) 0-3==-3
2-3= -1
-3/-1