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3 years ago

What two numbers will you add together that will give 32 and when you multiply it will give 48

Mathematics

1 answer:

motikmotik3 years ago

4 0

Answer:

the two numbers are 30 and 2

Step-by-step explanation:

form two equations ie. a+b=32

a*b=48

express b in terms of a ie. b=32-a

substitute that equation to the equation a*b=48

to form a*(32-a)=48

open the brackets to get 32a-a^2 =48

using the quadratic formula

round off your answer to get 30 and 2

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2 years ago

Find the length of diagonal XU in the hexagon below. Round your solution to 2 decimal points

SpyIntel [72]

Answer:

The length of diagonal XU is 6.40 units

Step-by-step explanation:

* Lets explain how to find the distance between two points

- The rule of the distance between two points $(x_{1},y_{1})$

and $(x_{2},y_{2})$ is:

$d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

* Lets solve the problem

-From the attached figure:

- The coordinates of the vertex X are (2 , 2)

- The coordinates of the vertex U are (-2 , 7)

∴ The point $(x_{1},y_{1})$ = (2 , 2)

∴ The point $(x_{2},y_{2})$ = (-2 , 7)

∴ $x_{1}=2,x_{2}=-2$

∴ $y_{1}=2,y_{2}=7$

∵ $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

∴ $d=\sqrt{(-2-2)^{2}+(7-2)^{2}}=\sqrt{(-4)^{2}+(5)^{2}}=\sqrt{16+25}=\sqrt{41}$

∵ $\sqrt{41}=6.403124$

∴ d = 6.40

* The length of diagonal XU is 6.40 units

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3 years ago