Answer:
y=-x+
Step-by-step explanation:
First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find
m=(y2-y1)/(x2-x1)
=(2-(-4))/(-2-1)
=6/-3
=-2
in this equation the slope is 2, and to find the first equation, use y=mx+b
use the point (1, -4) to find b
-4=(2)(1)+b
-4=2+b
b=-6
the first equation of the line is y=2x-6
to find the x intercept of that line substitute 0 for y
0=2x-6
2x=6
x=3
the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2
for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b
y=mx+b
0=(-1/2)(3)+b
b=3/2
thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-x+3/2
Answer:
Step-by-step explanation:
As it is first order nonlinear ordinary differential equation
Let y(x) = x v(x)
2xy/(x²+y²)=2v/(v^2+1)
dy=xdv+vdx
dy/dx=d(dv/dx)+v
x(dv/dx)+v=(2v)/(v^2+1)
dv/dx=[(2v)/(v^2+1)-v]/x
<h2>∫
= ∫
</h2>
u=v^2
du=2vdv
Left hand side:
∫
=∫
=∫
=
=
Right hand side:
Solve for v:
Answer:
I think the answer is D
Step-by-step explanation:
Answer is D, because if you divide 13 and 15 it gives you 0.8125
Answer:
Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph.
- D is ur answer
Step-by-step explanation:
Answer:
0.3694
Step-by-step explanation:
In this question, we are asked to calculate the probability that a golfer scored at least 74 if she played on a particular day.
Given that ,
mean = µ = 73
standard deviation = σ = 3
P(x > 74) = 1 - P(x<74 )
= 1 - P[(x -µ) / σ < (74 -73) /3 ]
= 1 - P(z <0.3333 )
Using z table
= 1 - 0.6305
= 0.3694
probability= 0.3694