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3 years ago

1. Consider the following system. If you used the substitution method, what

Mathematics

1 answer:

wolverine [178]3 years ago

8 0

The first step would be :

E) 3x + (2x + 4) = -7

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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

$P=6\ m$

$6=2(l+w)$

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 are two equivalent ratios for 8:4

Ivenika [448]

4:2 and 2:1 are equivalent ratios to 8:4

8 0

3 years ago

Read 2 more answers

plz help me but only the top two and plz show ur work and sorry if its blurry and nu,ber one says Write an expression for this a

allsm [11]

I hope this helps you

3 0

3 years ago

Read 2 more answers

(1Q) Describe how to transform the graph of g(x) = lnx into the graph of f(x)= ln(x-4)+3?

xxMikexx [17]

Answer:

Step-by-step explanation:

The correct answer is to go 4 units right (the direction is opposite to the sign) and 3 units up. The up and down direction is the same number as after the function.

Red: Parent Function y = ln(x)

Blue: 4 units right. 3 units up.

Answer: B

6 0

3 years ago

Identify the vertex of the function, f(x) = 3(x - 1)2 + 5.

Softa [21]

I believe it is (1,5)

6 0

3 years ago