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Natali [406]
2 years ago
15

The difference of 2 numbers is 20 and their product is 125

Mathematics
2 answers:
KATRIN_1 [288]2 years ago
4 0

Answer:

The two numbers are ;

<h2>x = 25</h2><h2>y = 5</h2><h3>I Hope It Helps :)</h3>

Step-by-step explanation:

Let -the -unknown- numbers-be-x-and-y\\x-y =20    (1)\\xy = 125   (2)\\On -equation (1) make-x -the- subject-of-the-formula\\x  = 20+y\\Substitute, 20+y in- equation- for x\\y(20+y)=125\\20y +y^{2} =125\\Arrange-in-general-form-of-a-quadratic-equation=\\ax^{2} +bx +c =0\\y^{2} +20y-125=0\\Using -factorization -method\\Find-two-factors- when - added- give +20 and -when- multiplied give-125\\Factors=+25y and  -5y\\y^{2} +25y-5y-125=0\\factorize- y -out \\y(y+25)-5(y+25)=0\\(y+25)(y-5)=0\\

(y+25)=0- or -(y-5)=0\\y = 0-25  -or- y = 0+5\\y = -25 , y= 5\\ y- cannot -have- a- negative- value \\y = 5\\substitute 5 for y in equation (1) -or-(2)\\x-y = 20    (10\\x-5 = 20 \\x = 20 +5\\x = 25

Semenov [28]2 years ago
3 0

Answer:

ans= 25, 5

Step-by-step explanation:

Guess a number that you can the difference as 20 and when you multiply you get 125. For imstance in my case the difference between 25 and 5 is 20 and their product is 125

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4 0
2 years ago
Line segment AB is shown on a coordinate grid:
Roman55 [17]

Answer:

The statements which describe A'B' is:

A'B' and AB are equal in length ⇒ (B)

Step-by-step explanation:

Let us take about reflication:

⇒ Reflections are mirror images, means the shape or the size of

   the figure does not affect by reflection, think of "folding" the

   graph over the y-axis or the x-axis

⇒ On a grid, you used the formula (x, y) → (-x, y) for a reflection in

    the y-axis and used the formula (x, y) → (x, -y) for a reflection in

    the x-axis.

In our question segment AB, where A = (1, 3) and B = (5, 3) is

reflected about the y-axis

By using the rule above

∴ A' =(-1, 3)

∴ B' = (-5,3)

∵ Reflection does not change the shape or the size of the original figure

∴ Line segment A'B' has the same length of line segment AB

The correct answer is:

A'B' and AB are equal in length

You can check your answer by finding the lengths of AB and A'B'

∵ The length of AB = 5 - 1 = 4 units

∵ The length of A'B' = -1 - (-5) = -1 + 5 = 4 units

∴ AB = A'B'

<u><em>Note</em></u><em>:</em>

<em>If the y-coordinates of two points are equal, then the line joining them is horizontal and its length is the difference between the x-coordinates of the two points.</em>

4 0
3 years ago
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