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professor190 [17]
3 years ago
5

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:

<u><em>The question in English is</em></u>

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

so

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

so

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

so

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 <em>-</em><em>3</em><em> </em><em>=</em><em> </em><em>y</em><em>,</em><em> </em><em>x</em><em> </em>is -1.

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

7 0
2 years ago
Please help me factorize this<br>x(a-<br><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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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:

C

Step-by-step explanation:

7

4 0
3 years ago
Sheldon wants to access the money in this checking account. Which of the following will work?
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