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Debora [2.8K]
2 years ago
14

A portion of the quadratic formula proof is shown. Fill in the missing statement ( the last answer choice is (x + b/2a = + b^2-4

ac/a)

Mathematics
1 answer:
ahrayia [7]2 years ago
5 0

Answer:

x+\frac{b}{2a}=\pm\frac{\sqrt{b^2-4ac}}{2a}

Step-by-step explanation:

So when it says simplify the right side, all it's doing is distributing the square root across division.

So when we distribute the square root we get the fraction

\frac{\sqrt{b^2-4ac}}{\sqrt{4a^2}}

And it's important to know that you cannot distribute the square root across addition/subtraction, but you can with multiplication.

There's a radical identity that states: \sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab} and this works both ways, so we can use this to combine like radicals or separate them into multiple. In this case we can separate the square root of 4a^2 into two radicals

\frac{\sqrt{b^2-4ac}}{\sqrt{4} * \sqrt{a^2}}

And from here it's pretty easy to see that the square root of 4 is 2, and the square root of a^2 is a, since the square exponent and square root just cancel out.

So we get the following expression on the right side

\frac{\sqrt{b^2-4ac}}{2a}

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Musya8 [376]
Miles has 3.45 acres of land now. You're welcome.

4 0
3 years ago
Compré mi despensa en línea (usando la página de un centro comercial) y en total por los productos que adquirí debía pagar $1600
Mekhanik [1.2K]

Answer:

1.235%

Step-by-step explanation:

Paso 1

Calculamos el costo de envío

= $ 1620 - $ 1600

= $ 20

Paso 2

¿Cuál es el porcentaje de mi compra que me cobraron por los gastos de envío?

Esto se calcula como:

(Costo de envío / Cargos totales) × 100

= 20/1620 × 100

= 1.2345679012%

= Aproximadamente = 1.235%

7 0
3 years ago
Find the value of the expression 2x3 + 3y2 − 17 when x = 3 and y = 4. 26 85 943 1,927
Jet001 [13]

Answer:

85

Step-by-step explanation:

2x^3 + 3y^2 − 17

2(3)^3 + 3(4)^2 − 17

2*27 + 3*16 -17

54  + 48 -17 = 85

4 0
3 years ago
Read 2 more answers
If ac =14 find the value of x then find ab and bc
Igoryamba

Answer:

If B is between A and C, AB = x, BC = 2x + 2, and AC = 14, find the value of x. Then find AB and BC.

Step-by-step explanation:

AB=x

BC = 2x + 2BC=2x+2

AC =14AC=14

Required

Determine x, AB and BC.

Since B is between A and C;

AB + BC = ACAB+BC=AC

Substitute x for AB; 2x + 2 for BC and 14 for AC

x + 2x + 2 = 14x+2x+2=14

3x + 2 = 143x+2=14

Collect Like Terms

3x = 14 - 23x=14−2

3x = 123x=12 '

x = \frac{12}{3}x=

3

12

x = 4x=4

Substitute 4 for x in

AB = xAB=x

BC = 2x + 2BC=2x+2

AB = 4AB=4

BC = 2(4) + 2BC=2(4)+2

BC = 8 + 2BC=8+2

BC = 10BC=10

3 0
2 years ago
270 is 90% of what number?
kakasveta [241]
90\% \ of \ x =270 \\\\ \frac{90}{100}*x=270 \\\\ \frac{9}{10}=\frac{270}{x} \\\\ x=\frac{10*270}{9} \\\\ x=10*30 \\\\ \boxed{x=300}
6 0
3 years ago
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