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3 years ago

Given the following sets.

Mathematics

1 answer:

fenix001 [56]3 years ago

4 0

It is an empty set because nothing relates the two subsets

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una ventana rectangular tiene l metros de ancho y h metros de altura, con un perímetro de 6 metros y un área de 2m² ¿cuál es la

seropon [69]

Answer:

The formula for calculating the width of the window is

$w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}$

Step-by-step explanation:

The question in English is

A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?

we know that

The perimeter of the window is equal to

$P=2(l+w)$

we have

$P=6\ m$

$6=2(l+w)$

simplify

$3=(l+w)$

isolate the variable l

$l=3-w$ ----> equation A

The area of the window is equal to

$A=lw$

we have

$A=2\ m^2$

$2=lw$ ----> equation B

substitute equation A in equation B

$2=(3-w)w$

solve for w

$2=3w-w^2$

$w^2-3w+2=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$w^2-3w+2=0$

$a=1\\b=-3\\c=2$

substitute in the formula

$w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}$ ---> formula for calculating the width of the window

$w=\frac{3(+/-)\sqrt{1}} {2}$

$w=\frac{3(+/-)1} {2}$

$w=\frac{3(+)1} {2}=2\ m$

$w=\frac{3(-)1} {2}=1\ m$

7 0

3 years ago

What is the value of x when h(x)=-3? -7

Pachacha [2.7K]

Answer:

○ -1

Step-by-step explanation:

Looking closely at this piecewise function, when the line on the left-hand side intersects at -3 = y, x is -1.

I hope this helps, and as always, I am joyous to assist anyone at any time.

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2 years ago

Please help me factorize this x(a- <img src="https://tex.z-dn.net/?f=x%28a%20-b%29%20%2B%20a%20-%20b" id="TexFormula1" tit

Nostrana [21]

I’m not sure but I think it’s:
(a-b)(x+1)

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3 years ago

Which data set has the widest spread? A. data set A: 1, 1, 2, 1, 2, 1 B. data set B: 2, 2, 4, 4, 3, 3 C. data set C: 1, 1, 2, 2,

OlgaM077 [116]

Answer:

Step-by-step explanation:

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3 years ago

Sheldon wants to access the money in this checking account. Which of the following will work?

bulgar [2K]

D. he can access it by taking it out of his account

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2 years ago