Answer:
acute triangle
Step-by-step explanation:
We have 3 angles that are not equal to each other
They are all smaller than 90 degrees which means they are acute angles
There are many polynomials that fit the bill,
f(x)=a(x-r1)(x-r2)(x-r3)(x-r4) where a is any real number not equal to zero.
A simple one is when a=1.
where r1,r2,r3,r4 are the roots of the 4th degree polynomial.
Also note that for a polynomial with *real* coefficients, complex roots *always* come in conjugages, i.e. in the form a±bi [±=+/-]
So a polynomial would be:
f(x)=(x-(-4-5i))(x-(-4+5i))(x--2)(x--2)
or, simplifying
f(x)=(x+4+5i)(x+4-5i)(x+2)^2
=x^4+12x^3+77x^2+196x+164 [if you decide to expand]
Answer:
$110
Step-by-step explanation:
We are looking for the decrease in money per desk purchased. Because the x-axis is the number of desks purchased, what we have to find is the (opposite) of the slope. The formula to represent slope can be written as:

We can substitute the points given, (2, 480) and (5, 150) and simplify:

We would multiply by -1 because we are asking for the decrease, and negative increase is decrease. -1 * -110, gives us $110
A midpoint divides a line segment into equal halves.
The value of x is 3.4
Given that:


Since M is the midpoint, then:

So, we have:


Collect like terms


Solve for x

<em>Hence, the value of x is 3.4</em>
Read more about midpoints at:
brainly.com/question/2441957
Answer:
Step-by-step explanation:
Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons