HELP ME PLS I NEED SOME HELP

I’m confused on what’s going on here, so if someone could explain it I would be super grateful.

pshichka [43]

<h2>Range of x </h2><h3> $-\frac{1}{5}$ and x>6</h3><h3>Step-by-step explanation:</h3>

Given AB = 4x + 5, BC = 3x - 2 and AC 9x -5

The sum of the length of any two sides of a triangle is greater than the length of third side.

Case I

AB + BC > AC

⇔4x +5 +3x -2 > 9x -5

⇔7x + 3 >9x - 5

⇔ 7x -9x > -5 -3

⇔-2x > -8

⇔x <4

Case II

if AB+AC > BC

4x +5 +9x -5> 3x -2

⇔13x >3x -2

⇔ 13x -3x> -2

⇔10x > -2

⇔x > $-\frac{1}{5}$

Case III

AC+BC > AB

⇔9x - 5 +3x - 2 > 4x +5

⇔6x -7 > 4x +5

⇔6x -4x >5+7

⇔2x > 12

⇔x > 6

8 0

3 years ago

For what values of q are the two vectors A = i + j + kq each other and B-iq-23 + 2kg perpendicular to

Sloan [31]

Answer:

The value of q are 0.781,-1.281.

Step-by-step explanation:

Given : Two vectors $A=i+j+kq$ and $B=iq-2j+2kq$ are perpendicular to each other.

To find : The value of q ?

Solution :

When two vectors are perpendicular to each other then their dot product is zero.

i.e. $\vec{A}\cdot \vec{B}=0$

Two vectors $A=i+j+kq$ and $B=iq-2j+2kq$

$(i+j+kq)\cdot (iq-2j+2kq)=0$

$(1)(q)+(1)(-2)+(q)(2q)=0$

$q-2+2q^2=0$

$2q^2+q-2=0$

Using quadratic formula,

$q=\frac{-1\pm\sqrt{1^2-4(2)(-2)}}{2(2)}$

$q=\frac{-1\pm\sqrt{17}}{4}$

$q=\frac{-1+\sqrt{17}}{4},\frac{-1-\sqrt{17}}{4}$

$q=0.781,-1.281$

Therefore, The value of q are 0.781,-1.281.

6 0

3 years ago

Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cum

Sergeeva-Olga [200]

The dividends per share on each class of stock for each of the four years for Seventy-Two Inc. are as follows:

<h3>Cumulative Preferred Stock:</h3>

Year 1 Year 2 Year 3 Year 4

Distributed Dividends $32,000 $40,000 $36,000 $36,000

Outstanding shares 60,000 60,000 60,000 60,000

Dividend per share $0.53 $0.67 $0.60 $0.60

<h3>Common Stock:</h3>

Year 1 Year 2 Year 3 Year 4

Distributed Dividends $0 $32,000 $44,000 $64,000

Outstanding shares 400,000 400,000 400,000 400,000

Dividend per share $0 $0.08 $0.11 $0.16

<h3>Data and Calculations:</h3>

3% Cumulative Preferred Common Stock

Outstanding shares 60,000 400,000

Par Value $20 $25

Total value $1,200,000 $10,000,000

Annual dividend $36,000 ($1,200,000 x 3%)

Year 1 Year 2 Year 3 Year 4

Distributed Dividends $32,000 $72,000 $80,000 $100,000

Cumulative Preferred $32,000 $40,000 $36,000 $36,000

Common Stock $0 $32,000 $44,000 $64,000

Learn more about dividends at brainly.com/question/25845157

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3 0

2 years ago

S n o g is ann01ng it w4rn3d me for asking a normal question i had because of my h0m3w0rk

8090 [49]

?.?.......?????????????........????????????

5 0

3 years ago

Read 2 more answers

Can I get help please?

irina1246 [14]

Answer:

Round to a number that is not a decimal.

4 0

3 years ago