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
1/10 = .1, and 3/33 = .0909090... it is equivalent if you estimate.
Answer:
If we put all of it together we have the factors :2 x 5 x 5 x 7 = 350.
Step-by-step explanation:
It can also be written in exponential form as 21 x 52 x 71.
Hope this is helpful .
X+ 3y = 1 -----(first equation)
-2x+7 = -23 ---(second equation)
-2x = -23-7
x = 30/2
x = 15
Now, Substitute the value of x in first equation,
15 + 3y = 1
3y = 1 - 15
y = -14/3
In short, Final Answers are: x = 15 & y = -14/3
Hope this helps!
Pyramid
volume=base area times height times 1/3
or
length times widht times height times 1/3
base area=3
3 times height iems 1/3
height=4
3 times 3 times 1/3=4 times 1/3 times 3=4 times 1
each pyramide=4 in volume
so
x pyramids =alabaster volume
divide by pyramids
x=alabaster/pyrimds
alabaster=576
pyramids=4
divide
576/4=144
the artis can make 144 pyramids
