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
ra1l [238]
3 years ago
15

If 9x²+Px+25 is a perfect square, then find the value of P​

Mathematics
2 answers:
kvv77 [185]3 years ago
8 0
30 is the value of P
Steps:
A perfect square follows the pattern a^2+2ab+b^2\\\boxed{a=3,b=5}\\\boxed{2ab=30}
lorasvet [3.4K]3 years ago
6 0

Answer:

P = 30

Step-by-step explanation:

A perfect square of the form

(ax + b)² = a²x² + 2abx + b²

9x² = (3x)² ⇒ a = 3 and 25 = 5² ⇒ b = 5

2abx = 2 × 3 × 5x = 30x

9x² + 30x + 25 = (3x + 5)² ← a perfect square

P = 2ab = 30

You might be interested in
For a science project, James needs to fill a tennis ball with sand but he doesn't know how much he will need. He measured the di
klio [65]
Do not go to that link it is a virus and if you go to “goggle” and press the camera icon on the top right and take a picture of the question you should get the answer there
8 0
2 years ago
Jacie can swim 3/4 of a mile in 3/8 of an hour.how far can she swim in one hour?
Vladimir [108]

Answer:

2 miles

Step-by-step explanation:

convert 3/4 into 6/8. With this you have a ratio of 6/8 miles to 3/8 hours. Meaning 2/8 mile is equal to 1/8 of an hour. With this you can find that Jacie can swim 2 miles in a hour



8 0
3 years ago
3) The sum of three consecutive numbers is 72. What are the smallest of these numbers?
34kurt

Answer:

23

Step-by-step explanation:

23 + 24 + 25 = 72

6 0
3 years ago
Evaluate the following expression.
melisa1 [442]

Answer:

40

Step-by-step explanation:

y = 4

z = 2

8y + 12 - 2z

8(4) + 12 - 2(2)

32 + 12 - 4

44 - 4

40

8 0
3 years ago
Read 2 more answers
Aaron has a triathlon. Sunday he bikes 12 5/8 miles and swims 5 2/3 miles. Monday, he runs 6 3/8 miles. How many total miles Aar
Alla [95]
Let’s put these into one fraction each:

Biking:
= (12*5)/8 miles
= 60/8 miles
This can be reduced to,
= 15/2 miles

Swimming:
= (5*2)/3 miles
= 10/3 miles

Running:
= (6*3)/8 miles
= 18/8 miles
This can be reduced to,
= 9/4

Now we add all the distances up:
= (15/2) + (10/3) + (9/4)

Now we just can add the numerators and the denominators. We must find the lowest common factor (LCF) for our 3 denominators (2,3,4). Our LCF turns out to be 12. *Remember what we do to the denominator we must do to the numerator. So:
= (15/2) + (10/3) + (9/4)
= [(15*6)/12] + [(10*4)/12] + [(9*3)/12]
= (90/12) + (40/12) + (27/12)
= (157/12)
Therefore Aaron Ran 157/12 miles or 13.08 miles.

Hope this helps!
4 0
3 years ago
Other questions:
  • What is cos A?
    6·1 answer
  • If 200 guests were invited to a wedding and only 154 attended the wedding what percent of the invited guests attending the weddi
    15·2 answers
  • There are 30 students in Jenna's class. Jenna brought in 13 cupcakes. Which equation can be used to find the number of cupcakes
    7·2 answers
  • 2. How many 4-digit even numbers greater then 4,999 can be made(using the digits 0-9?
    8·1 answer
  • If Greg spent half as much money and bought twice as many packs of cards how much did he spend on each pack. Explain your answer
    14·1 answer
  • Organisms are present in ballast water discharged from a ship according to a Poisson process with a concentration of 10 organism
    15·1 answer
  • At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are
    8·1 answer
  • Need help with my homework ​
    8·1 answer
  • The thermostat for a house is set to 68 °F, but the actual temperature may vary
    7·1 answer
  • Determine which value is the greatest, explain why, please and thank you!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!