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True [87]
2 years ago
15

What that two numbers when multiplied give 600 and when added give 59 ​

Mathematics
1 answer:
ozzi2 years ago
8 0

Answer:

Step-by-step explanation:

Let the 2 numbers be x and y

From the problem we have that

x * y = 600 and x + y = 59

From x + y = 59 -> x = 59 - y

Plug x = 59 - y to x * y = 600 we have

(59 - y) * y = 600

-> 59y - y^2 = 600

-> -y^2 + 59y - 600 = 0

-> y = (59 - \sqrt{1081})/2 or (59 + \sqrt{1081})/2

Then we could plug the answers in and find x because x = 59 - y

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What 2 numbers multiply to be -14 and add to be -3
Svetach [21]
Xy = -14
x + y = -3

xy = -14
\frac{xy}{x} = \frac{-14}{x}
y = \frac{-14}{x}

x + y = -3
x + \frac{-14}{x} = -3
\frac{x^{2}}{x} + \frac{-14}{x} = -3
\frac{x^{2} - 14}{x} = -3
x^{2} - 14 = -3x
x^{2} + 3x - 14 = 0
x = \frac{-(3) \± \sqrt{(3)^{2} - 4(1)(-14)}}{2(1)}
x = \frac{-3 \± \sqrt{9 + 56}}{2}
x = \frac{-3 \± \sqrt{65}}{2}
x = \frac{-3 \± 8.06}{2}
x = -1.5 \± 4.03
x = -1.5 + 4.03    or    x = -1.5 - 4.03
x = 2.53    or    x = -5.53

        x + y = -3
   2.53 + y = -3
 - 2.53         - 2.53
              y = -5.53
        (x, y) = (2.53, -5.53)
         
         x + y = -3
  -5.53 + y = -3
+ 5.53         + 5.53
              y = 2.53
        (x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.
8 0
3 years ago
How is the pythogorean theorem used to determine the distance formula
Fiesta28 [93]

Answer:

The distance formula uses the coordinates of points and the Pythagorean Theorem to calculate the distance between points. If A and B form the hypotenuse of a right triangle, then the length of AB can be found using this formula, leg2 + leg2 = hypotenuse2 (or you can use A squared + B squared = C squared)

Am not a real genius but I hope that answers your question! ^w^

5 0
3 years ago
What is the equation of the line ?
Zielflug [23.3K]

Answer:

y = -2x + 7

Step-by-step explanation:

tbh too lazy to explain

8 0
3 years ago
For an outdoor concert by the city​ orchestra, concert organizers estimate that 16 comma 000 people will attend if it is not rai
Sladkaya [172]

Answer:  13300

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

Work Shown:

A = event that it rains

B = event that it does not rain

P(A) = 0.30

P(B) = 1-P(A) = 1-0.30 = 0.70

Multiply the attendance figures with their corresponding probabilities

  • if it rains, then 7000*P(A) = 7000*0.30 = 2100
  • if it doesn't rain, then 16000*P(B) = 16000*0.70 = 11200

Add up the results: 2100+11200 = 13300

This is the expected value. This is basically the average based on the probabilities. The average is more tilted toward the higher end of the spectrum (closer to 16000 than it is to 7000) because there is a higher chance that it does not rain.

3 0
3 years ago
Find the quotient of 1.2 divided by 251.2 show your work
Natali [406]
Do 1.2 then the division box and inside the box put 251.2 and the answer is <span>209.333333333 with an infinite 3</span>
4 0
2 years ago
Read 2 more answers
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