<h3>
Answer: Slope is undefined</h3>
Explanation:
The slope of any vertical line is always undefined. This is because
, and the "run" portion is 0. The run represents the change in x, but we don't have a change in x for vertical lines. The x value is always some constant.
So this is why the run is 0, and it leads to a division by zero error, causing an undefined slope.
Is this a multiple-choice question? I don't see any variables defined to represent length, width, and area.
Using A = area, l = length, w = width, a formula for area would be A = lw.
Some writers use b = base for the length and h = height for the width, in which case A = bh.
Answer: 2.4 UNITS
Step-by-step explanation:
The sine rule :
Sine A / a = Sine B / b = Sine C / c
From the diagram attached :
QR = s = 2.4 ; QS =r = 3.1 ; RS =q =?
We need to find the angle RQS
using Sine rule :
Sine R / r = Sine S / s
Sin 80° / 3.1 = sin S / 2.4
0.9848077 / 3.1 = sin S / 2.4
Sin S × 3.1 = 0.9848077 × 2.4
Sin S = 2.3635386 / 3.1
Sin S = 0.7624318
S = Sin^-1(0.7624318)
S = 49.67°
Therefore, form using ;
A + B + C = 180° ( SUM of angles in a triangle)
SQR = 180° - (QRS + QSR)
= 180° - ( 80 + 49.67)° = 50.33°
Q = 50.33°
THEREFORE,
Sine Q / q = Sin S / s
Sin 50.33° / q = Sin 49.67° / 2.4
0.7697339 / q = 0.7623295 / 2.4
0.7623295q = 0.7697339 × 2.4
q = 1.84736136 / 0.7623295
q = 2.4233108
q = Segment RS = 2.4units
No......you end up with x<3....so there is an open circle at 3
Answer:
2x(x + 3)(2x - 1)
Step-by-step explanation:
Given
4x³ + 10x² - 6x ← factor out 2x from each term
= 2x(2x² + 5x - 3) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to split the x- term
2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )
= 2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term
= (x + 3)(2x - 1)
Thus
4x³ + 10x² - 6x = 2x(x + 3)(2x - 1) ← in factored form