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3 years ago

Determine the slope of the line that is perpendicular to the line y = -7x - 12.

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

4 0

Answer:

None of these answers are correct.

Step-by-step explanation:

Perpendicular lines have opposite and reciprocal slopes, which means that we take the slope and we flip it. After we've done that, we change the sign.

Since the original slope is -7, first we flip it and get -1/7. Now we change the sign and get 1/7. Therefore, the perpendicular slope of this line would be 1/7

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Paul has a stock portfolio worth $21,000. His home is valued at $365,000. His car is valued at $19,000. He owes $362,000 on his

kompoz [17]

Answer:

Paul has negative worth of $2,900

His statement is invalid as he did not consider all assets and debts in aggregate.

Step-by-step explanation:

The net worth of Paul is the total asset owned by him less the total of debts owed by him.

Paul's total assets can computed thus:

Stock portfolio $21,000

Home worth $365,000

Car worth $19,000

Total assets $405,000

Paul's total debts can be computed as follows:

Mortgage loan $362,000

Car loan $16,250

credit card debt $11,750

Student loan $17,900

Total debts $407,900

The amount of debts owed by Paul is $2,900($405,000-$407,900) more than his asset worth,which implies that Paul is indebted to the tune of $2,900,hence has negative worth.

6 0

3 years ago

What is 2/8 x 4/5<br> a.6/40<br> b.8/40<br> c.6/13<br> d.8/13

Leya [2.2K]

The answer is B 8/40

5 0

3 years ago

Read 2 more answers

HELP RIGHT NOW PIZZZ = FASTEST ANSWER BRAINLIEST AND I WILL THANK U

Nuetrik [128]

Answer:

1) The slope of the function $g(x)$ is $0$ and the slope of the function $f(x)$ is $-1$ .

2) The negative slope of the function $f(x)$ shows that it is the line is increasing and the slope $0$ of the function $g(x)$ shows that the line will always have the same y-coordinate.

3) The slope of the function is $f(x)$ is greater than the slope of the function $g(x)$ .

Step-by-step explanation:

For this exercise you need to know that the slope of any horizontal line is zero ( $m=0$ )

The slope of a line can be found with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

You can observe in the graph of the function $g(x)$ given in the exercise, that this is an horizontal line. Then, you can conclude that its slope is:

$m=0$

The steps to find the slope of the function $f(x)$ shown in the table attached, are the following:

- Choose two points, from the table:

$(0,3)$ and $(4,-1)$

- You can say that:

$y_2=-1\\y_1=3\\\\x_2=4\\x_1=0$

- Substitute values into the formula $m=\frac{y_2-y_1}{x_2-x_1}$ :

$m=\frac{-1-3}{4-0}$

- Finally, evaluating, you get:

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

Therefore:

1) The slope of the function $g(x)$ is $0$ and the slope of the function $f(x)$ is $-1$ .

2) The negative slope of the function $f(x)$ shows that it is the line is increasing and the slope $0$ of the function $g(x)$ shows that the line will always have the same y-coordinate.

3) The slope of the function is $f(x)$ is greater than the slope of the function $g(x)$ .

8 0

3 years ago

SAVINGS ACCOUNT

yarga [219]

Answer:

$4000 was invested at 4%, 2500 was invested at 3%

Step-by-step explanation:

First and foremost the question has to be define.

Total amount raised is $6500

Savings account percentage simple interest =3%

Government Bond: 4% simple interest

Equation for amount invested at each rate:

(6500-x)0.03 + 0.04x = 235

195 - 0.03x + 0.04x = 235

0.01x = 40

x = 4000

$4000 was invested at 4%, 2500 was invested at 3%

4 0

3 years ago

1/8÷2= as mixed # if possible

nikdorinn [45]

There is no mix number, it is 1/16.

4 0

2 years ago

Read 2 more answers