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Elena-2011 [213]
2 years ago
15

Find two positive numbers whose difference is 9 and whose product is 2950.

Mathematics
1 answer:
Naddika [18.5K]2 years ago
5 0

The two positive numbers whose difference is 9 and whose product is 2950 are 50 and 59

<h3>How to determine the positive numbers?</h3>

As a general rule, it should be noted that positive numbers are numbers that have their value greater than 0

So, we start by representing the two positive numbers with x and y.

So, we have the following equations

x - y = 9

xy = 2950

Make x the subject in the first equation x - y = 9

x = y + 9

Substitute y + 9 for x in the second equation

(y + 9) * y = 2950

Expand the equation

y^2 + 9y - 2950 = 0

Using a graphing tool, we  have the solution of the above equation to be

y = 50

Recall that:

x = 9 + y

So, we have:

x = 9 + 50

Evaluate

x = 59

Hence, the two positive numbers whose difference is 9 and whose product is 2950 are 50 and 59

Read more about positive numbers at:

brainly.com/question/1782403

#SPJ1

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Answer:

±90

Step-by-step explanation:

√(-225) · √(-36) = (15i)·(6i) = 90i² = 90·(-1) = -90

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On the other hand, ...

... √(-225) · √(-36) = √((-225)·(-36)) = √8100 = 90

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If you consider all the roots at each stage, the result is ±90. Since you're working with complex numbers here, it is reasonable to recognize every number has two square roots.

... √(-225) = ±15i

... √(-36) = ±6i

... √(-225) · √(-36) = (±15i)·(±6i) = ±90i² = ±90

7 0
3 years ago
choose all expressions that are equal to 2.65 + 3.78. A. 2.56 + 3.86 B. 3.78 + 2.65 C. 10 - 3.67 D. 9.51- 3.08 E. 8.21 - 2.78.
GrogVix [38]

2.65 + 3.78 = 6.43

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Answer:

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Step-by-step explanation:

7 0
2 years ago
If a segment has an endpoint at (3, 2) and the midpoint at (-1, 2), what are the coordinates of the other endpoint?
Paraphin [41]
The other endpoint would have to be (-5,2), going off the definition of a midpoint. Since 3 is for units to the right of -1, that would mean that the other end point would have to be 4 units to the left, which is -5.
3 0
3 years ago
Read 2 more answers
I need help been stuck for an hour now will mark the brainliest 40 points!
GenaCL600 [577]
A) x + y = 110
x - y = 40
B) Melvin swims for 35 minutes every day.
C) It is not possible
Step-by-step explanation:
Step 1:
Let x denote the duration for which Melvin plays tennis and y denote the duration for which he swims
Step 2 :
Part A :
Given that the total duration for which he plays and tennis is 110 minutes
so we have x + y = 110
Also given that he plays tennis for 40 minutes more than he swims
So, x = y+ 40 =>x-y = 40
So the linear pair of equations are
x + y = 110
x-y = 40
Step 3 :
Part B
Solving the above 2 equations we have
y+40+y = 110 = > 2y+ 40 = 110 = > y = 2y = 70 = >35
x = y+40 = 35+ 40 = 75
So Melvin plays tennis for 75 minutes and swims for 35 minutes every day.
Step 4 :
Part C
Given he plays and swims for 110 mins exactly, i.e x + y = 110
If Melvin plays tennis for 70 minutes , then x = 70, then the time for which he can swim is 110 - 70 = 40 mins.
He gets only 40 mins for swimming which is not 40 mins more than he plays tennis .
So this case is not possible.
4 0
3 years ago
Read 2 more answers
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