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
BabaBlast [244]
3 years ago
15

If q is directly proportional to (p-1)^2 and q=20 when p=3,find the values of p when q=80​

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0

Answer:

p = 17 and -15

Step-by-step explanation:

If q is directly proportional to (p-1)², this can be written as;

q = k(p-1)²

If q = 20 when p = 3

20 = k(3-1)²

20 = 2²k

20 = 4k

k = 5

To get p wen q = 80

80 = 5(p-1)²

16 = (p-1)²

p-1 = ±√16

p-1 = 16 and p-1 = -16

p = 17 and p=-16+1

p = 17 and -15

You might be interested in
Evaluate 8(6+5)/2²+6(2)​
klemol [59]

Answer:

34

Step-by-step explanation:

1. Add 6 and 5 and that multiplies with 8 which would be 88

2. Then divide by 4, leaving you with 22.

3. Add that with 6(2), 12, and that gives you 34

7 0
3 years ago
Read 2 more answers
Starting at noon, the temperature dropped steadily at a rate of 0.08 degrees Celsius every hour.
dangina [55]

Answer:

a. 55 hours

b. 1.9 degrees C

Step-by-step explanation:

This means for each hour the temperature drops 0.08. This is the expression 0.08x where x is number of hours.

a.) If the temperature has dropped 4.4, then 4.4 = 0.08x. Solving for x will give the number of hours it takes to drop 4.4.

4.4 = 0.08x

4.4 / 0.08 = x

55 = x

b.) If the temperature after 55 hours and dropping 4.4 is -2.5, then the temperature at the start would be -2.5 + 4.4 = 1.9. The temperature at noon was 1.9 degrees celsius.

6 0
3 years ago
A triangle has side lengths 2.83 m, 4 m, and 2.24 m. The angles measures are 45°, 63°, and 72°.
vagabundo [1.1K]

Answer:

  • D) acute scalene

Step-by-step explanation:

<h3>What are the definitions?</h3>

  • Obtuse triangle - the triangle with angle greater than 90°;
  • Acute triangle - the triangle with all interior angles under 90°;
  • Isosceles triangle - the triangle with a pair of equal sides;
  • Scalene triangle - the triangle with all three sides (or angles) of different measure.

<h3>What we have?</h3>

  • All sides are different and all angles are under 90°.

<h3>Which option is correct?</h3>

  • D) acute scalene

7 0
2 years ago
3x+8=2x+21<br> X=?<br> (all working out needed)
Dahasolnce [82]

Answer:

x=13

Step-by-step explanation:

3x=2x+21−8

3x=2x+13

3x−2x=13

x=13

8 0
3 years ago
Read 2 more answers
Whats bigger 6/10 or 13/21
lidiya [134]

Answer: 13/21

Step-by-step explanation:

can i get brainiest pls

5 0
3 years ago
Other questions:
  • What is the approximate area of a circle with a radius of 15 ft?
    12·1 answer
  • If a company has 245 shares of common stock and 275000 To be distributed to its holders, how many would Each share receive
    6·1 answer
  • Find the sum: (3x2 + 5x − 8) + (5x2 − 13x − 5)
    13·2 answers
  • What are the coordinates of the vertex of y = –x2 – 12x – 32?
    6·1 answer
  • Which matrix does not have an inverse?
    11·1 answer
  • We started working with 3D shapes in math, and my homework says to find 6 real life examples of a RIGHT rectuaglur prism in real
    9·1 answer
  • I need the answer and a explanation. simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B18%7D%20%7D%7B%5Csqrt%7B81%7
    9·1 answer
  • HELP TwT
    7·1 answer
  • Which expression is equivalent to one over four n − 16? (4 points)
    11·2 answers
  • Using the table below, find the mean and median of the set of data.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!