Answer:
.
Step-by-step explanation:
Given homogeneous equation


Substitute y=ux , 

Now,




Integrating both side we get
lnu=-2lnx+lnC
Where lnC= integration constant


Cancel ln on both side

Substitute 
Then we get
xy=C
.
Answer:
.
Step-by-step explanation:
first you have to solve for x
35x - 5=50
35-35x-5= 50-35
x-5=15
x- 5÷5=15÷5
x=3
Now we have to substitute x into the equation.
35×(3)-5=
175-5=170
angle UVW= 170
to find angle HUW instead of solving the equation just subtract 170 from 50 and you will get 120.
angle UVH=50
angle HUW=120
angle UVW=170
I hope this helps srry it took so long but gn and gl.
The length of the first two sides of a triangle must be greater than the length of the last side. If the longest length were 18, the first two sides would be too short. 36-18=18, 18 is equal not greater than 18 which means the sum of the first two sides are too short.
Answer:
Step-by-step explanation:
In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:
and
3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and
So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):
* and
and
so
** and, in standard form:
4y = -3x + 29 and
3x + 4y = 29***
* : point-slope form
** : slope-intercept form
*** : standard form
Answer: 97.72%
Step-by-step explanation:
Given : A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal curve.
Let x be the random variable that represents the shoe sizees.
Also, The population mean =
; Standard deviation: 
Formula for z:-

Put x= 8, we get

Now, the probability that the male shoe sizes are greater than 8 :-

Hence, the percent of male shoe sizes are greater than 8 is 97.72%.