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
alexandr402 [8]
2 years ago
5

A line has a slope of 9. One of the points on the line is (-2, p). Another point on the line is (2, 2p+1). Determine the value o

f p.
Mathematics
1 answer:
igomit [66]2 years ago
8 0

As we travel from (-2, p) to (2, 2p+1), x increases by 4 and y increases by p+1.  Note that -2 + 4 = 2 (which is correct), and that p + (p+1) = 2p+1 (which is also correct).                                                        

                                                                           p+1

Thus, the slope of this line is m = rise / run = -------- = 9

                                                                               4


Then p + 1 = 36, and p = 35.

You might be interested in
Filip is inviting 6 friends to a party. Each friend wants 5 cookies and each box has 8 cookies. How many boxes should Filip get?
Alecsey [184]
Flip should get 4 boxes.

6*5=30
30/8=3.75
round up for 4.
3 0
1 year ago
write the equation of the line that is perpendicular to the line y=-1/5x+9 and passes through the point (-2,-2)
OLEGan [10]

Answer:y=5x+8

Step-by-step explanation: the perpendicular slope is going to be the negative reciprocal of your given slope. In this case the perpendicular line has a slope of 5, because u flip -1/5 to make -5 and u negate -5 to make 5. This perpendicular slope passes through (-2,-2) and u find the y intercept like this: -2=(5(-2))+b. Therefore the y intercept is 8 and the perpendicular slope is y=5x+8

4 0
3 years ago
(cotx+cscx)/(sinx+tanx)
Butoxors [25]

Answer:   \bold{\dfrac{cot(x)}{sin(x)}}

<u>Step-by-step explanation:</u>

Convert everything to "sin" and "cos" and then cancel out the common factors.

\dfrac{cot(x)+csc(x)}{sin(x)+tan(x)}\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)}{1}+\dfrac{sin(x)}{cos(x)}\bigg)\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg[\dfrac{sin(x)}{1}\bigg(\dfrac{cos(x)}{cos(x)}\bigg)+\dfrac{sin(x)}{cos(x)}\bigg]\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)}{cos(x)}+\dfrac{sin(x)}{cos(x)}\bigg)

\text{Simplify:}\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)+sin(x)}{cos(x)}\bigg)\\\\\\\text{Multiply by the reciprocal (fraction rules)}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)cos(x)+sin(x)}\bigg)\\\\\\\text{Factor out the common term on the right side denominator}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)(cos(x)+1)}\bigg)

\text{Cross out the common factor of (cos(x) + 1) from the top and bottom}:\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)}\bigg)\\\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times cot(x)}\qquad \rightarrow \qquad \dfrac{cot(x)}{sin(x)}

6 0
3 years ago
PLEASE HELP!! im being timed
marshall27 [118]
B is the right hope it help
8 0
3 years ago
An angle that is less than 180 degrees is acute. Always Sometimes Never
gizmo_the_mogwai [7]

Answer:

Sometimes

Step-by-step explanation:

An acute angle is an angle that measures less than 90°

So, an angle that is less than 180° is sometimes acute.

5 0
3 years ago
Read 2 more answers
Other questions:
  • In 1990, the population of the Midwest was about 60 million. During the 1990s, the population of
    14·1 answer
  • -54 over 9= <br> can I have help
    5·2 answers
  • There are 364 students who are enrolled in an introductory biology course. If there are five boys to every eight girls, how many
    8·1 answer
  • On a graph of average speed, what happens to speed when the line is horizontal?
    8·1 answer
  • A construction firm is building a skyscraper, and the height of the skyscraper in yards and feet after certain numbers of days i
    11·1 answer
  • Can anybody please help me out with this question I would really appreciate it so much . Please and thank you .
    14·1 answer
  • J is the midpoint of CT<br> С<br> J<br> T<br> If:<br> CJ = 5x – 3 and<br> JT = 2x + 21<br> Find CT.
    6·1 answer
  • Brad wants to buy flowers for his friend
    13·1 answer
  • Here is a list of numbers: <br> 10, 16, 19, 16, 2, 4, 8 ,16 ,20 <br> State the median.
    11·2 answers
  • Anyone knows the answer?! ​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!