Answer:
The answer is
<h2>y + 2x = 2</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
The original line is 2x + y = 1
We must first write the equation in the general form above
That's
y = - 2x + 1
Comparing with the general equation above
Slope = - 2
Since the lines are parallel their slope are also the same
Slope of parallel line = - 2
So the equation of the line using point
( - 1 , 4) and slope - 2 is
<h3>
</h3>
We have the final answer as
<h3>y + 2x = 2</h3>
Hope this helps you
Step-by-step explanation:
Let's say b is the rate of the boat in still water, and c is the rate of the current.
Distance = rate × time
Going upstream:
100 = (b − c) (5)
20 = b − c
Going downstream:
100 = (b + c) (2)
50 = b + c
Solve the system of equations using substitution or elimination. Using elimination, add the equations together:
70 = 2b
b = 35
c = 15
The boat's speed is 35 km/h, and the current's speed is 15 km/h.
Answer:
Yes
Step-by-step explanation:
Triangle inequality theorem states that a triangle can exist if
a + b > c; a + c > b; b + c > a
a = 2; b = 10; c = 11
2 + 10 = 12; 12 > 11.
2 + 11 = 13; 13 > 10.
10 + 11 = 21; 21 > 2.
Answer:
$9261
$1261
Step-by-step explanation:
Principal: $8000
Interest rate: 5% PA compounded annually
Time: 3 years
- Sum = $8000*(1.05)³ = $9261
- Interest = $9261 - $8000 = $1261
Always do brackets first
a) -40/10 = -4
b) 36/4 -2 = 7
c) -2 x 7 = -14