Answer:
see attached.
Step-by-step explanation:
kindly see attached.
Answer:
160 days
Step-by-step explanation:
If it takes 8 days with 10 women to make 3 tree houses, then the rate of woman per tree house is 3/80. Multiplying this by 6 and dividing by 36, you get a rate of 1/160 or 160 days. Hope this helps!
X=25
4x-10=90
Add 10 to both sides
4x=100
Divide both sides by 4
Step-by-step explanation:
To get the inverse, swap the x- and y-variables, then solve for y. We should have the equation: ![x = 2y^2 - 8](https://tex.z-dn.net/?f=x%20%3D%202y%5E2%20-%208)
Solving for y:
because
or ![x =\sqrt\frac{y + 8}{2}](https://tex.z-dn.net/?f=x%20%3D%5Csqrt%5Cfrac%7By%20%2B%20%208%7D%7B2%7D)
So on interchanging the variable, we get the equation:
<u>ANSWER</u>
The line that is parallel to
through
is
.
<u>EXPLANATION</u>
The equation that is parallel to the line
has a slope that is equal to the slope of this line.
By comparing this equation to the general slope intercept form,
,this line has slope
.
Hence the line parallel to this line also has slope
.
Let
be the equation of the line parallel to the line
![y=4x-6](https://tex.z-dn.net/?f=y%3D4x-6)
We can substitute
to obtain;
![y=2x+b](https://tex.z-dn.net/?f=y%3D2x%2Bb)
If the line passes through the point
,then this point must satisfy its equation.
We substitute
and
to obtain;
![10=2(12)+b](https://tex.z-dn.net/?f=10%3D2%2812%29%2Bb)
We this equation for
.
![\Rightarrow 10=24+b](https://tex.z-dn.net/?f=%5CRightarrow%2010%3D24%2Bb)
![\Rightarrow 10-24=b](https://tex.z-dn.net/?f=%5CRightarrow%2010-24%3Db)
![\Rightarrow -14=b](https://tex.z-dn.net/?f=%5CRightarrow%20-14%3Db)
We substitute this value of
in to
to get;
.
Hence the equation of the line that is parallel to
through
is
.