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3 years ago

Who is good at geometry that can help me?

Mathematics

1 answer:

lina2011 [118]3 years ago

7 0

Answer: d. 3

Step-by-step explanation:

By the The intersecting chords theorem,

$x(x+3) = 2\times 9$

$\implies x^2+3x=18$

$\implies x^2+3x-18=0$

$\implies x^2+6x-3x-18=0$

$\implies x(x+6)-3(x+6)=0$

$\implies (x-3)(x+6)=0$

$\text{ if }x-3=0\implies x = 3$

or $\text{ if }x+6=0\implies x = -6$ ( can not possible)

Hence, x = 3

⇒ Option d is correct.

You might be interested in

What numbers make this expression undefined x^2+3/x^2-11x-12

marusya05 [52]

$\frac{ {x}^{2} + 3}{ {x}^{2} - 11x - 12}$

Because which numbers will make the expessions undefined. We will focus on the denominator only.

Factor the terms.

$(x - 12)(x + 1)$

Now which 2 numbers that will make these terms become 0?

12 and - 1 of course.

So these 2 numbers that will make the expressions undefined are 12 and - 1

5 0

3 years ago

El precio de costo de “x” artículos es 60x + 4 000, además el precio de venta de los mismos es 80x. Determinar la cantidad de ar

Citrus2011 [14]

Answer:

800 artículos.

Step-by-step explanation:

Sea x = la cantidad de artículos vendidos

De la pregunta,

Precio de costo = 60 x + 4000

Venta (precio de venta) = 80x

También nos dieron ganancias como S12000

Para determinar la ganancia

Precio de venta: precio de costo = beneficio (cuando el precio de venta es más alto que el precio de costo)

Por lo tanto,

12,000 = 80x - (60x + 4000)

12,000 = 80x - 60x - 4000

Recolectando términos similares

12,000 + 4,000 = 80x - 60x

16,000 = 20x

x = 16,000 / 20

x = 800

Por lo tanto, la cantidad de artículos que se venderán si desea obtener una ganancia de S12,000 es de 800 artículos.

7 0

3 years ago

Solving Two Step Linear Equations. SHOW YOUR WORK.

AysviL [449]

Answer:

1. x=0

2. m=5

3. x=8

4. x=-8

5. x=49

6. x=-133

Step-by-step explanation:

1. 9x=0

2. -20=-4m, 20=4m

3. 2x=16

4. x/8=-1, x=-1x8

5. x/7=7

6. After simplifying: −1/19(x)=7

Hope this helped, I just simplified all the steps for the step by step explanation. Have a great day and stay safe, happy, and healthy!

5 0

3 years ago

One gallon of gasoline in buffalo, New York costs $2.29. In Toronto, Canada, one liter of gas costs $0.91. There are 3.8 liters

Solnce55 [7]

<u>Answer:</u>

The cost of one gallon of gas in Toronto, Canada is $3.458.

<u>Solution: </u>

Given, One gallon of gasoline in buffalo, New York costs $2.29.

In Toronto, Canada, one liter of gas costs $0.91.

There are 3.8 liters in one gallon.

We have to find how much does one gallon of gas cost in Toronto?

Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.

Cost of one gallon of gas = 0.91 x 3.8 = 3.458

Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.

3 0

3 years ago

g Two teams compete in the NBA (National Basketball Associa- tion) championshipseries. The team who wins four games out of seven

Firlakuza [10]

Answer: The required probability is 0.32.

Step-by-step explanation:

Since we have given that

Probability of winning team A over B = 0.7

Probability of losing team A over B = 0.3

Number of matches = 7"

So, using the "Binomial distribution" :

We get that

$P(X=5)=^7C_5(0.7)^5(0.3)^2=0.32$

Hence, the required probability is 0.32.

4 0

3 years ago