the volume of cuboid is given by length*breadth*height
the volume of above cuboid is 6*12*125=864cubic in.
volume of below cuboid is 18*10*8=1440 cubic in.
totoal volume = 1440+864l=2304 cubic in.
You wouldn’t because 3 is the base number and cannot be simplified anymore
Answer:
![y=\frac{7}{2}x-20](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B7%7D%7B2%7Dx-20)
Step-by-step explanation:
Let the equation of the line be
where, 'm' is its slope and
is a point on it.
Given:
The equation of a known line is:
![y=-\frac{2}{7}x+9](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B2%7D%7B7%7Dx%2B9)
A point on the unknown line is:
![(x_1,y_1)=(4,-6)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%284%2C-6%29)
Both the lines are perpendicular to each other.
Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is ![m_1=-\frac{2}{7}](https://tex.z-dn.net/?f=m_1%3D-%5Cfrac%7B2%7D%7B7%7D)
When two lines are perpendicular, the product of their slopes is equal to -1.
Therefore,
![m\cdot m_1=-1\\m=-\frac{1}{m_1}\\m=-\frac{1}{\frac{-2}{7} }=\frac{7}{2}](https://tex.z-dn.net/?f=m%5Ccdot%20m_1%3D-1%5C%5Cm%3D-%5Cfrac%7B1%7D%7Bm_1%7D%5C%5Cm%3D-%5Cfrac%7B1%7D%7B%5Cfrac%7B-2%7D%7B7%7D%20%7D%3D%5Cfrac%7B7%7D%7B2%7D)
Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,
![y-(-6))=\frac{7}{2}(x-4)\\y+6=\frac{7}{2}x-14\\y=\frac{7}{2}x-14-6\\\\y=\frac{7}{2}x-20](https://tex.z-dn.net/?f=y-%28-6%29%29%3D%5Cfrac%7B7%7D%7B2%7D%28x-4%29%5C%5Cy%2B6%3D%5Cfrac%7B7%7D%7B2%7Dx-14%5C%5Cy%3D%5Cfrac%7B7%7D%7B2%7Dx-14-6%5C%5C%5C%5Cy%3D%5Cfrac%7B7%7D%7B2%7Dx-20)
The equation of a line perpendicular to the given line and passing through (4, -6) is
.
The answer is C
You find this by dividing Y by X
Answer:
68 hours
Step-by-step explanation:
Going by the time frame and date attached to this question, if school holidays should begin by Saturday 9 am, then from 1pm today we are 68 hours away from holiday.