Answer:
y = - x +
Step-by-step explanation:
The angle between the tangent and the radius at point P is 90°
Calculate the slope of the radius m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (8, 15)
m = =
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = - , thus
y = - x + b ← is the partial equation
To find b substitute (8, 15) into the partial equation
15 = - + b ⇒ b = 15 + =
y = - x + ← equation of tangent
Answer:
a scalene triangle
Step-by-step explanation:
<h3>hello!</h3>
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Parallel lines have the same slope.
So if the given line has a slope of 3, then the line parallel to it has the same slope (3)
Now, let's write the equation of the line in Point-Slope Form.
Remember, point-slope form looks like so:-
Where
y₁ is the y-coordinate of the point that the line passes through
m is the slope
x₁ is the x-coordinate of the point that the line passes through
In this case,
y₁ is equal to -8
m is equal to 3
x₁ is equal to 1
Plug in the values:
Simplify:
and we're done!
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<h3>note:-</h3>
Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Answer:
8/49
Step-by-step explanation:
Given data
Sample space
4 red marbles
8 blue marbles
2 green
Sample size
4+8+2 = 14
Pr(picking a red)
Pr(red)= 4/14= 2/7
With replacement
Pr(picking a blue)
Pr(blue)= 8/14= 4/7
Hence the probability of picking a red marble, replacing the item, and then picking a blue marble
= 2/7*4/7
= 8/49
Answer:
5/7
Step-by-step explanation:
We are given two points so we can find the slope by using
m = (y2-y1)/(x2-x1)
= (15-5)/(21-7)
=10/14
5/7