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2 years ago

The product (x) of two numbers is 24 and their sum (+) is 10. What is the value of the largest of the two numbers?

Mathematics

1 answer:

RideAnS [48]2 years ago

4 0

let the two numbers be x and y

From the first sentence,

xy=24

x+y=10

Then make y in equation 2 the subject of the formular and substitute in equation 1

x+y=10

y=10-x

substituting in equation 2

x(10-x)=24

open the bracket

10x-x^2=24

=-x^2+10x=24

Transfer the constant to the left hand side

=-x^2+10x-24=0

Then factorise completely

Look at the photo above

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2 years ago

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3 years ago

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Viktor [21]

Answer:

$x =\sqrt 5$

$y = \sqrt{5$

Step-by-step explanation:

Given

The attached triangle

Required

Solve for x

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$\cos(45) = \frac{y}{\sqrt{10}}$ --- cosine formula i.e. adj/hyp

Solve for y

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In radical form, we have:

$y = \sqrt{10} * \frac{1}{\sqrt 2}$

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Substitute for y

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4 0

3 years ago

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notsponge [240]

Answer:

9×1=9

9×2=18

9×3=27

9×4=36

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9×6=54

9×7=63

9×8=72

9×9=81

9×10=90

It goes down by 1 after multiplying a bigger number.

It goes up by 1 after multiplying a bigger number.

Step-by-step explanation:

hope this helps you and have a great day

4 0

3 years ago