The answer for this problem is 6
Answer:
The value of a=6[/tex]
Step-by-step explanation:
<u>step 1:- </u>
<u>col linearity of three points :- </u>
We know that slopes of two parallel lines are equal.If two lines having the same slope pass through a common point ,then two lines will coincide . Hence ,If A,B,C are three points in the X Y- plane, then they will lie on a line,
that is three points are col linear if and only if Slope of AB= slope of BC
<u>step 2:-</u>
Since the given three points are col-linear, we have
Slope of AB= slope of BC
given points are A(2,-2) ,B(-6,2) and C(a,-4)
<u>Step 3 :-</u>
Slope of AB= slope of BC


Answer:
The height of the container is 4 feet.
Step-by-step explanation:
A container has the format of a rectangular prism.
It has three dimensions: width(w), length(l), height(h).
The volume is:

In this question:

We have to find the height(length and width are in feet, volume in cubic feet, so the height will be in feet).




The height of the container is 4 feet.
If you evaluate your polynomial at x= - 3, the polynomial = 0. So, that means ( x + 3 ) is a factor. Either using long division, or synthetic division, you'll find out that 2x^3 - 9x^2 + 3x + 4 remains. Then if you try x = 4 on that remaining polynomial, it will = 0. Use long division or synthetic division to find out that 2x^2 - x - 1 is left over. That trinomial factors into ( 2x + 1 ) ( x - 1 ).
factored form is ( x+3 )( x - 4 )( 2x + 1 )( x - 1 )