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
satela [25.4K]
2 years ago
6

3. The sum of two numbers 49. The difference of the two numbers is 15. What is the product of the two numbers?

Mathematics
1 answer:
Alborosie2 years ago
3 0

Lets set the two numbers as 'a' and 'b'

Now let us set up some equations based on the information:

  • sum of two numbers 49 -->  a + b = 49
  • difference of the two numbers is 15 --> a -b =15

Equations

 a + b = 49 -- equation 1

 a - b = 15 -- equation 2

Solve:

 (equation 1) + (equation 2)

    2a = 64

      a = 32 -- equation 3

 (equation 3)'s value of a into (equation 2)

  32 - b = 15

    b = 17

The products of 'a' and 'b' is 544

Hope that helps!

 

You might be interested in
Question 7 of 10
Nat2105 [25]

Answer:

D. Balloon Mortgage does not adjust each period

Step-by-step explanation:

A-P-E-X

5 0
2 years ago
Read 2 more answers
Use the cross product property to solve each equation: 5/7 = x/9
enot [183]

Answer:

x = 45/7

Step-by-step explanation:

\frac{5}{7} =\frac{x}{9}

Here, you can more easily see what the fractions look like.

In order to cross-multiply, you have to multiply 5 with 9, and 7 with x.

45 = 7x

Then, you isolate x by dividing 7 on both sides:

45/7 = x

Hope I helped :)

8 0
3 years ago
Identify the values of a, b, and c that would be used in the quadratic formula to solve the equation −9x = 13 − 5x2.
Softa [21]
B. 

You would first have to add 9 to each side so that the equation equaled 0. Then you could pull these numbers. 
8 0
3 years ago
Change from rectangular to spherical coordinates. (let ≥ 0, 0 ≤ ≤ 2, and 0 ≤ ≤. ) (a) (5, 5 3 , 10 3 )
Nikolay [14]

The spherical coordinate that is converted from the given rectangular coordinate is (12.62, 46.67°, 35.3°).

Here, the given rectangular coordinate is (5, 5.3, 10.3).

Therefore, the value of 'x' is 5, the value of 'y' is 5.3 and the value of 'z' is 10.3.

We can convert the rectangular coordinate (x, y, z) into spherical coordinate (ρ, θ, Φ) by the below mentioned method.

We know, ρ² = (x²+y²+z²)

Therefore, ρ

= √(x²+y²+z²)

= √[(5)²+(5.3)²+(10.3)²]

= √(25+28.09+106.09)

= √(159.18)

= 12.62

Again, tan θ = (y/x)

Therefore, θ = tan⁻¹(y/x) = tan⁻¹(5.3/5) = tan⁻¹(1.06) = 46.67°

Similarly, cos Φ = (z/ρ)

Therefore, Φ = cos⁻¹(z/ρ) = cos⁻¹(10.3/12.62) = cos⁻¹(0.816) = 35.3°

Here, the spherical coordinate is (ρ, θ, Φ).

Therefore, the required spherical coordinate for the given rectangular coordinate is (12.62, 46.67°, 35.3°).

Learn more about the conversion of a rectangular coordinate to a spherical coordinate here: brainly.com/question/17185505

#SPJ4

8 0
1 year ago
Find the quotient of 90 over -10
vodka [1.7K]

90/-10

= 9/-1

= -9

So, -9 is the quotient.

3 0
3 years ago
Read 2 more answers
Other questions:
  • What grade does Lamont need to get on the next test to have an average of exactly 90? Explain your answer.
    15·1 answer
  • PLEASE HELP ITS URGENT how can you use an equation to make a prediction from a pattern?
    9·1 answer
  • An electrical heating element produces heat depending on the resistance of the element and the current passed through it. The he
    15·1 answer
  • Where is the circumcenter of this acute triangle located?
    9·1 answer
  • I don't understand this one either
    6·1 answer
  • It costs Beverly $0.50 to produce each bracelet she makes. She sells each bracelet for $20, plus three times the production cost
    15·1 answer
  • Slope from two points: (-15, 2) and (-3, 18)
    5·2 answers
  • Which equation represent the following situation : Andre withdrew
    10·1 answer
  • Is it a function or not a function?
    14·2 answers
  • Evaluate: 7b + 8a b =9 a =6
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!