Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
so convert the equation -x + y = 5 into slope intercept form by adding x to both sides
(-x + x) + y = 5 + x
0 + y = 5 + x
y = 5 + x
To match the slope intercept formula switch the x and 5 around
y = x + 5
If lines are parallel then they have the same slope (m) but they have different b
This means that the slope of the line will be 1 (in front of the x is an invisible 1 which would be m)
This is what we have so far...
y = x + b
Now we must find b
To do that you must plug in the point the line goes through in the x and y of the equation.
(2, -5)
-5 = 1(2) + b
-5 = 2 + b
-7 = b
y = x + (-7)
y = x - 7
Hope this helped!
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The answer is A. $14,523.60
The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.
<h3>What is
trigonometric ratio?</h3>
Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.
Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:
Angle = 90 - 67 = 23°
Using trig ratio:
tan(23) = d/1143
d = 485.2 feet
The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.
Find out more on trigonometric ratio at: brainly.com/question/24349828
The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
We are given that:
2nd term of geometric progression = 1 / 18
5th term = 4 / 243
Now, we can also write it as:
2nd term = a r ( where r is the common ratio and a is the initial term.)
a r = 1 / 18
5th term = a r⁴
a r⁴ = 4 / 243
Now divide 5th term by 2nd term, we get that:
a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )
r³ = 72 / 243
r³ = 8 / 27
r = ∛ (8 / 27)
r = 2 / 3
3rd term = a r²
a r² = a r × r
= 1 / 18 × 2 / 3
3rd term = 1 / 27
Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
Learn more about geometric progression here:
brainly.com/question/24643676
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Your question was incomplete. Please refer the content below:
The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term
Answer:
do u want them all answered
Step-by-step explanation:
