1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ELEN [110]
4 years ago
9

Jasmine is in a bicycle race. She has already biked 10 miles and is now biking at a rate of 18 miles per hour. Write and equatio

n for this situation. What is the slope , and the y-intercept ?
Mathematics
1 answer:
Dafna1 [17]4 years ago
6 0

Answer:

y = 18x + 10

slope = 18

y-intercept = 10

Step-by-step explanation:

The situation given in the problem is linear and can be represented using slope-intercept form of a linear equation: y = mx + b, where 'm' is equal to the slope, 'b' is equal to the y-intercept, 'x' is the number of hours and 'y' is the total number of miles.  

Given that Jasmine has already biked 10 miles, her initial value, or y-intercept would be 10.  Since she is now biking at a rate of 18 miles per hour, her rate of change, or slope, would be 18.  

Using these values for 'm' and 'b': y = 18x + 10

You might be interested in
An artist can paint 4 paintings in 2 hours. What is the artist's unit rate?
myrzilka [38]
2 paintings in 1 hour
3 0
4 years ago
Read 2 more answers
Please help i don't understand. will mark brainliest
Reika [66]

Answer:

Negative slope.

Step-by-step explanation:

It is a rule in slope.

Hope this helps!  Have a nice day!

5 0
3 years ago
Read 2 more answers
Would appreciate the help ! ​
aleksandr82 [10.1K]

This is one pathway to prove the identity.

Part 1

\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{1}{\tan(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\cot(\theta) = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{\cos(\theta)}{\sin(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)*\sin(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)(1-\cos(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\

Part 2

\frac{\sin^2(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)-\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-(\cos(\theta)-\cos^2(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-\cos(\theta)+\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\

Part 3

\frac{\sin^2(\theta)+\cos^2(\theta)-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1}{\sin(\theta)} = \frac{1}{\sin(\theta)} \ \ {\checkmark}\\\\

As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.

We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity \sin^2(\theta)+\cos^2(\theta) = 1 in the second to last step. I broke the steps into three parts to hopefully make it more manageable.

3 0
3 years ago
The dot plot shows the numbers of pets that students in a class own
Kisachek [45]

Answer:

5 dots above zero

Step-by-step explanation:

Could the question be The dot plot shows the number of pets owned by the students in Jayod’s class.

The center, or the middle value, of the data set is _____.????

If it is that is the answer.

Hope this helps!! :)

5 0
3 years ago
Help!!! which is the correct answer ​
nataly862011 [7]

Answer:

There are no solutions

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Argghhh no ones answering my questions. could SOMEONE please answer theses questions
    14·2 answers
  • The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approxima
    13·2 answers
  • Which angle(s) is Julian describing?
    14·1 answer
  • Jordan is chopping wood for the winter. For 10 days in a row, he follows the same process: In the morning, he chops 20 pieces of
    11·2 answers
  • Please help meeeeeeeeeeeeeeeee
    7·2 answers
  • If S is the midpoint of RT , RS=8x+11 and ST =14x-1 find x
    10·1 answer
  • An image of a rectangular pyramid is shown below: A right rectangular pyramid is shown. Part A: A cross section of the rectangul
    15·1 answer
  • Laura's family is going on a vacation. They would 4180 miles over the next 2 week about how many miles will they drive on averag
    13·2 answers
  • Simplify the fraction 5 divided by 1/2
    10·2 answers
  • Which geometric solids would model the tent?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!