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ollegr [7]
2 years ago
13

Z^2 -6z+9=0 Factor and solve

Mathematics
1 answer:
Ymorist [56]2 years ago
8 0
Factor because if we have
yz=0 then we can assume y and/or z=0

so factor
so the easiest way is to find what 2 numbers add to -6 and multiply to get 9 so
we know that they must be both - because we must have x+x=(-) and x^2=+ so therefor they must be negative
factors of 9=3 and 3 so
-3 and -3
-3+-3=-6 perfect

(z-3)(z-3)=0

set each to zero
z-3=0
add 3
z=3


z=3 is the answer
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What is the answer to this -7-(-5)=
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Answer:

-2

Step-by-step explanation:

When You subtract a negative from a negative you get a negative

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2 years ago
Kylie explained that (negative 4 x 9) squared will result in a difference of squares because (negative 4 x 9) squared = (negativ
JulijaS [17]

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression. Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Given information-

The expression for the given problem is,

(-4x+9)^2

<h3>Perfect square trinomial</h3>

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression.

The perfect square trinomial can be given as,

ax^2+bx+c

The given expression can be solved as,

(-4x+9)^2=(-4x+9)\times(-4x+9)\\(-4x+9)^2=-4x(-4x+9)+9(-4x+9)\\(-4x+9)^2=16x^2-36x-36x+81\\(-4x+9)^2=16x^2-72x+81

Hence Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Learn more about the perfect square trinomial here;

brainly.com/question/88561

3 0
2 years ago
The shadow of a 5-foot tall post is 10 feet long. at the same time, a tree casts a shadow that is 22 feet long. what is the heig
FromTheMoon [43]
Because the shadow doubled, the tree is actually only 11 FEET TALL.
3 0
2 years ago
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I have to find out how many quarters and dimes equal $2.05 with 13 total coins
KatRina [158]

Answer:

Step-by-step explanation:

5 dimes and 8 quarters :)

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3 years ago
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un rectangulo tiene 28 cm de perimetro y unos de sus lados mide 4 cm ¿cuantos cuadrados de 2 cm por lado se mecesitan para armar
seraphim [82]

Answer:

10 cuadrados

Step-by-step explanation:

Si uno de los lados de rectangulo es de 4cm entonces el lado parallelo tambien es de 4cm. Eso nos da 8cm del perimetro y nos quedan los otros dos lados que tienen la misma medida. Entonces dividimos el resto del perimetro por 2.

28 - 8 = 20cm

20cm / 2cm = 10cm

Ahora que tenemos todas las medidas podemos multiplicar el largo por el ancho para calcular el area del rectangulo

10cm * 4cm = 40cm^{2}

el cuadrado de 2cm tendra un area de

2cm * 2cm = 4cm^{2}

Ahora simplemente dividimos el area del rectangulo por el area del cuadrado para saber cuantos cuadrados necesitamos para armar ese rectangulo

40cm^{2} / 4cm^{2} = 10 cuadrados

3 0
2 years ago
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