A company owes a bank $3600. Beginning with month 1, the company repays the bank $300 each month.

Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

Read 2 more answers

mr. pollack's biology class observed the growth of pea plants. if 5 pea plants grew to 30 cm and 15 pea plants grew to 50 cm, wh

rodikova [14]

U do 5 times 30 and get 150 then take 15 times 50 and get 750 last take 750 plus 150 and u get 900 cm

7 0

3 years ago

A bank charges a service fee of 70.50 per month for a checking acount

timurjin [86]

The months till the account stability is terrible is 1.3 months.

<h3>What is account stability?</h3>

In banking, the account stability is the amount of coins you have were given available on your checking or economic financial savings account.
Your account stability is the net amount available to you anyways deposits and credit score had been balanced with any costs or debits.
Your economic organization account balance suggests you methods a brilliant deal coins you have were given on your account.
That coins is there for you withdraw or depart in place, likely with a view to collect interest payments on it.
The answer isn't always truely yes, though, because of the truth your balance might not be exactly what it seems.
The available balance can be taken out of the account in cash at an ATM or with a economic organization teller.
The debit card transfers coins from the coins inside facet the checking account.

To learn more about account stability from the given link:

brainly.com/question/13387881

#SPJ13

4 0

1 year ago

Match the terms to their definition.1 . an open sentence of the form Ax + By + C < 0 or Ax + By + C > 0 linear inequality2

ra1l [238]

Answer:

1 . An open sentence of the form Ax + By + C < 0 is a linear inequality.

2 . An equation containing more than one variable is a literal equation.

3 . A statement formed by two or more inequalities is a compound inequality.

Step-by-step explanation:

A linear Inequality contains one inequality sign (> or <) sign, In Ax + By + C < 0, Ax + By + C is less than 0.

A literal equation contains more than one variable and equates to a number. An example is Ax + By = 0.

A compound inequality uses OR and AND to join two linear inequalities. When AND is used, it indicates that the values of the variables are true in both inequalities.

6 0

3 years ago

Each of three friends Lynn Jada and Andre has the goal of raising $40 how much money did each person raise according to the foll

kenny6666 [7]

Answer:

is it 60$

Step-by-step explanation:

because if its 100% than it would be 40+40+40

due to 50% = 120 ÷50%

= 60

8 0

2 years ago