All categories

3 years ago

Katrina said that the lines y=-2/3x + 5 and y = -3/2x + 2 are perpendicular. Explain Katrina's error.

Mathematics

2 answers:

Elis [28]3 years ago

8 0

There shouldn't be a negative in front of one of the equations.

Vika [28.1K]3 years ago

7 0

Answer:

product of gradients of the two lines = 1 does not imply the lines being perpendicular, the product of gradients have to instead be equal to -1.

You might be interested in

Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th

lord [1]

Answer:

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?

Let us convert time taken into hours as:

$\text{Days}=5\times 12=60$

$\text{Minutes}=60\times 45$

1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

$\text{Hours}=\frac{60\times 45}{60}=45$

Now, we will divide 1800 by 45 to find average rate in laps per hour as:

$\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}$

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Therefore, Sebastian's average rate is 40 laps per hour.

6 0

2 years ago

Cameron and Cadena go out to eat for lunch. Part A If their food and beverages cost $22.50 and there is a 9% meals tax, how much

Elan Coil [88]

Answer:

24.53

Step-by-step explanation:

9% of 22.50 = 2.03

22.50 + 2.03 = 24.53

4 0

2 years ago

Read 2 more answers

What is bigger . 17 or . 165 meters? And why?

Vadim26 [7]

.17 because there is a zero behind the 7! .170 and .165. .17 is bigger

7 0

2 years ago

A farmer has enough feed to last his 15pigs for 20days. How long would the feed last if he had 10pigs

ddd [48]

40/3 days, (13.33 days)

Step-by-step explanation:

Set up the equation, 15/20 = 10/x, and then use cross mutiply to solve it.

10 * 20 = 15x, x = 200/15 = 40/3

Why?

b/c if each pig eats the same amount of food, then the ratio between the number of pigs and days should remain constant.

5 0

2 years ago

Which of the following is equal to the fraction below? (3/4)^-5

DaniilM [7]

Answer:

4.21399176955

Step-by-step explanation:

$\frac{3}{4}^{-5}$

$0.75^{-5}$

4.21399176955

6 0

2 years ago