The question says that KN bisects JKL. This means that the angles are exactly equal. Thus, we can set the angles equal to each other to solve for x:
x + 30 = 3x - 50
30 = 2x - 50
80 = 2x
x = 40
Your answer is B. 40.
Point slope form: y - y1 = m (x - x1)
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first you need to find the slope(m) by using the slope formula (seen below)
y2 - y1
m= ---------
x2 - x1
9 - 15
m= ---------
1 - (-2)
-6
m= --------- = -2
3
then choose either one of the coordinates you'd like and plug it in.
Im gonna use (-2, 15)
(y - 15) = -2 (x - (-2))
or
(y - 15) = -2 (x + 2)
slope intercept form: y = mx + b
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you can use the slope formula to find that the slope(m) is -2
y = -2x + b
you can then plug in a coordinate to find b (the y-intercept)
I'll use (-2,15)
15 = -2(-2) +b
15 = 4 + b
-4 -4
---------
11 = b
in conclusion:
the slope(m) = -2
when (-2,15) is used
x = -2
y = 15
b = 11
standard form: ax + by = c
----------------------------------------
using the same coordinate (-2,15)
-2a + 15b = c
(x+3)(x-1/4)=x^2+11/4-3/4
Answer:
If
or
, there is only one solution to the given quadratic equation.
Step-by-step explanation:
Given a second order polynomial expressed by the following equation:

This polynomial has roots
such that
, given by the following formulas:



The signal of
determines how many real roots an equation has:
: Two real and different solutions
: One real solution
: No real solutions
In this problem, we have the following second order polynomial:
.
This means that 
It has one solution if




We can simplify by 8

The solution is:
or 
So, if
or
, there is only one solution to the given quadratic equation.
The parts of algebraic expressions related to polynomials are variables and coefficients.
<h3>What are the parts of algebraic expressions?</h3>
The parts of algebraic expressions are;
- Variables which are letters that represent numbers
- Coefficients are numbers that multiply the variables
- Constant is a number that is not multiplied by any variable
Polynomials are algebraic expressions composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, and multiplication
Polynomials consists of variables and coefficients. The variables in polynomials are also called indeterminates. The coefficients also multiply this variables.
Thus, the parts of algebraic expressions related to polynomials are variables and coefficients.
Learn more about algebraic expressions here:
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