Answer:
y
−
7
=
−
6
/11
⋅
(
x
+
7
)
Step-by-step explanation:
Find the point-slope form.
Point-slope formula: y-y₁=m(x-x₁)
Answer:
-81t^2 +16
Step-by-step explanation:
(9t-4)(-9t-4)
FOIL
first: -9t*9t = -81t^2
outer : -4*9t = -36t
inner : -4 *-9t = 46t
last = -4*-4 = 16
Add them together
-81t^2 -36t+36t+16
-81t^2 +16
Roots with imaginary parts always occur in conjugate pairs. Three of the four roots are known and they are all real, which means the fourth root must also be real.
Because we know 3 and -1 (multiplicity 2) are both roots, the last root
is such that we can write

There are a few ways we can go about finding
, but the easiest way would be to consider only the constant term in the expansion of the right hand side. We don't have to actually compute the expansion, because we know by properties of multiplication that the constant term will be
.
Meanwhile, on the left hand side, we see the constant term is supposed to be 9, which means we have

so the missing root is 3.
Other things we could have tried that spring to mind:
- three rounds of division, dividing the quartic polynomial by
, then by
twice, and noting that the remainder upon each division should be 0
- rational root theorem
<span>This is an java command program.
String 1 is stands for str1= '' forest '' accepted within quote marks.
String 2 is stands for str1= '' school'' accepted within quote marks
the command compareto will cause the output will display as shown below :
str1.compareto(str2); when run this command
we will get the output like this ;
forest
school
==================================================
the model program is like this;
{
String str1 = " forest " ;
String str2 = "school ";
System.out.println();
System.out.println("String 1: " + str1);
System.out.println("String 2: " + str2);</span>