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
Marrrta [24]
3 years ago
5

Two positive numbers have a difference of 4 and a product of 96. What are the numbers?

Mathematics
2 answers:
dolphi86 [110]3 years ago
7 0

Answer:

A. 12 and 8

Step-by-step explanation:

Let x be the larger positive number and y be the smaller positive number.

Since, the difference between these number is 4,

⇒ x - y = 4,

⇒ x = 4 + y ------(1)

Also, the product of these number is 96,

⇒ xy = 96

From equation (1),

(4+y)y = 96

4y+y^2=96

y^2+4y-96=0

y^2+12y-8y-96=0

y(y+12)-8(y+12)=0

(y-8)(y+12)=0

By zero product property,

y-8=0 or y+12=0

y = 8 or y = - 12( not possible )

Again from equation (1),

x = 4 + 8 = 12,

Hence, the numbers are 12 and 8,

Option A is correct.

Pavel [41]3 years ago
5 0
It'd be A.. You first would find which of them have a difference of 4. Which, is A, C, and D. Then, you'd multiply to see which of those three equal 96. 12*8=96
You might be interested in
What is the square root of 72 simplified
Ket [755]

Answer: 6√2

Step-by-step explanation:

8 × 9 is 72.

8 can be simplied to 4 × 2.

And 4 can be simplified to 2 × 2.

So far there are three 2s and a 9.

9 can be simplified down to 3 × 3.

Theres a pair of 2s and a pair of 3s, so you multiply 2 × 3 and thats 6 so you put 6 on the outside of the radical. Theres one 2 leftover from all the simplifying so that goes inside the radical to give you 6√2

6 0
3 years ago
Read 2 more answers
1) A research team is planning to use an ice drill at the top of a glacier. The team plans to use the drill for 10 hours each da
MaRussiya [10]

Answer:

Answer is 50 trust me

Step-by-step explanation:

7 0
3 years ago
A circle has a radius of 5. Express in term of pi the circumference of the circle
Natalka [10]
Circumference of a circle = 2pir
2pi(5) = 10pi 
3 0
3 years ago
Olivia are two times as much salad as Reagan. If Reagan ate R salad, which equation can be used to find the amount of salad Oliv
mina [271]
<h3>Answer: B) 2r = v</h3>

================================================

Explanation:

r = amount of salad Reagan ate

v = amount of salad Olivia ate

"Olivia ate twice as much as Reagan", meaning

amount Olivia ate = 2*(amount Reagan ate)

v = 2*r

v = 2r

2r = v

6 0
3 years ago
Help please thank you if u do!
dmitriy555 [2]
I think d but i might be wrong :( sorry
7 0
3 years ago
Read 2 more answers
Other questions:
  • A jet flew at a constant of 350 miles per hour for 6 hours and 30 minutes. What distance did the jet travel?
    13·2 answers
  • P varies directly as q. When q = 31.2, p = 20.8. Find p when q = 15.3.
    5·2 answers
  • Log(8)a/2. Expand the logarithmic expression.
    10·1 answer
  • Musical notes are classified by frequency. The note middle C has a frequency of 262 hertz. The note C above middle C has a frequ
    9·1 answer
  • I'm so confused. If you answer, please explain.
    9·1 answer
  • What is the similarity ratio of PQR to VXM?
    12·1 answer
  • Z1 and Z2 are vertical angles. Z2 has a measure of 31º.<br> What is the measure of Z1
    12·1 answer
  • It’s real simple just answer it
    7·2 answers
  • Luis was called to go up to the board and solve the following equation: 2x -12 =5. What should Luis' final answer be?
    12·2 answers
  • 2.6 m wide. What's the area of a<br> single panel?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!