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:
The measure of the angle NET is 65 degrees (choice #2)
Step-by-step explanation:
Because ET is tangent, <NTE is 90 degrees. Since we are given <TNG=25 degrees, we can use the fact that the sum of the angles in the triangle ENT is 180 degrees to calculate the remaining <NET:
<NET = 180 - 90 - 25 = 65 degrees
All you have to do to find what number a certain number is a certain percentage of is to divide the known number by the percentage that it is reduced by.
To do this, we must first convert the percentage into a decimal. To do this, we can either divide the percentage by 100, or (my personal shortcut) just shift the decimal point over two places to the left.
40% = 0.4
Now, we divide the known by the percentage/decimal.
72 / 0.4 = 180
72 is 40% of 180.
Hope that helped! =)
Hi there!
Find the perimeter using the formula:
P = 2l + 2w
It is given that the dimensions are 2.8 × 1.9 so plug these number into the equation:
P = 2(2.8) + 2(1.9)
P = 5.6 + 3.8
P = 9.4m
Answer:
2.85 in²
Step-by-step explanation:
Area of triangle = 1/2 x base x height
1/2 x 1.9 x 3 = 2.85 in²
