Answer:
The equation of the perpendicular line would be y = -2/5x - 1
Step-by-step explanation:
In order to find this line, we must first find the slope of the original line. We do this by solving for y.
-5x + 2y = -10
2y = 5x - 10
y = 5/2x - 5
This shows us a slope of 5/2. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negative 5/2 to get -5/2 and then we flip it to get -2/5. Now that we have this, we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 1 = -2/5(x + 5)
y - 1 = -2/5x - 2
y = -2/5x - 1
Answer:
Step-by-step explanation:
Needs $500 Makes 7.50 and works 10 hours week.
7.50*10= $75.00 a week
500/75= 6.6 weeks or 6 weeks and 2/3 of a week. I'd round to 7 weeks.
75(x)=500 X= weeks needed.
75x=500 if you divide 500 by 75
x=20/3 or 6.6
From trigonometry we know that:
if 
then, 
(where 
is an integer)
This can be rewritten in degrees as:
.............(Equation 1)
Now, in our case, 
Therefore, (Equation 1) can be written as:
..........(Equation 2)
Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of 
that match.
For n=2, (Equation 2) gives us: 
.
Thus, 
Now, we know that: 
Let n=-1, then:
Thus, 
Likewise, 
Only the last option 
will never match 
because no integral value of will ever give 
Thus the last option is the correct option.
Answer: Add the number previously added multiplied by 3;
+3x, where x is the number that was added previously
Step-by-step explanation:
3+5=8. That's the first equation, where 5 is x. Then the next equation, 8+3x=23. 8+15=23. It works for all of the equations, so that's the pattern.
Answer:
The constant of proportionality in the equation y=0.41 is 0.41
Step-by-step explanation:
