Answer:
12,2,3
Step-by-step explanation:
Answer:
Exact Form:
47
2942
Decimal Form:
0.01597552
…
Step-by-step explanation:
Answer:
The lines would be parallel because their slopes are the same and their y-intercepts are different.
Step-by-step explanation:
First, start with the two equations:
y = 7x + 15
y = 7x + 4
So for lines to be parallel, they must have the same slope. For lines to be perpendicular, one of the lines must be the negative reciprocal of the other. In other words, it should be the opposite sign (+ or -) and the reciprocal (flip the numerator and denominator.
In this case, the lines are in slope-intercept form:
y = mx + b
so the slope is already given.
Slope of line 1 = 7x
Slope of line 2 = 7x
Because these lines have the same slope but different y-intercepts, they would be parallel to each other. You can check this by graphing it.
Answer:
N=i
S = -i
E =1
W = -1
Step-by-step explanation:
If facing north is represented by i, then facing south would be the opposite or -i.
We can let facing east be 1 because the magnitude has to be 1, so facing west would be the opposite or -1
Answer:
A linear equation in the slope-intercept form is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Now, we know that the rate of change (the slope) is -5
Then we just replace a by -5
y = -5*x + b
Now we also know that this line passes through a point, and the point is (3, 0)
This means that the point (3, 0) is a solution for the line equation, so when x = 3, we also have y = 0.
Replacing these values in our equation we get:
0 = -5*3 + b
0 = -15 + b
15 = b
Now we know the value of b, so we can replace it in the line equation to get:
y = -5*a + 15
Which is the complete equation of the line.