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3 years ago

Find xy if x + y=3, x^2 + y^2 = 5

Mathematics

1 answer:

Vesna [10]3 years ago

8 0

Answer:

mark me

Step-by-step explanation:

x+y=3

x=3-y

putting the value of x

in this

x²+y²=5

(3-y) ²+y²=5

9-6y+y²+y²=5

2y²-6y+9-5=0

2y²-6y+4=0

2y²-4y-2y+4=0

2y(y-2)-2(y-2)=0

(2y-2) (y-2) =0

2y-2=0 or y-2=0

y=1 or y=2

so x=2 or 1

so x×y=2×1 or 1×2=2

I HOPE THIS WILL HELP YOU MARK ME BRAINLIEST

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Find the distance between the two points rounding to the nearest tenth (if necessary) (-1,-2) and (5,2)

Ivan

Answer:

Distance between the two points

AB = √52 = 7.2111

Step-by-step explanation:

Explanation:-

Given points are (-1,-2) and (5,2)

Distance formula

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

$= \sqrt{(5-(-1) )^{2} +(2 -(-2))^{2} }$

$= \sqrt{(6 )^{2} +(4)^{2} }$

= √36+16

=√52

= 7.2111

Final answer:-

Distance between the two points

AB = √52 = 7.2111

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3 years ago

A bottle rocket is launched straight up. Its height in feet (y) above theground x seconds after launch is modeled by the quadrat

bazaltina [42]

The eqution of height y in terms of the time x is

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We are asked when the rocket will strike the ground, so that is the same that sayin when will the rocket's height will be zero again, that is, y=0. so we have to solve

$-16x^2+116x+7=0.$

the solutions of this equations are

$x=\frac{-116\pm\sqrt[]{116^2-4(-16)(7)}}{2(-16)}=\mleft\{\begin{aligned}-0.05 \\ 7.3\end{aligned}\mright.$

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Step-by-step explanation:

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Step-by-step explanation:

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