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Maurinko [17]
3 years ago
6

What is the equation in point slope form of the line that is parallel to the given line and passes through the point (4,1)

Mathematics
1 answer:
Kobotan [32]3 years ago
6 0
The slope will be the same, so we know the equation will be y=-2x+b. But there is a different b.

For x=4, y will be 1 because the point (4,1) is given.

So 1=-2*4 + b => b = 9

So the equation of our parallel line is y=-2x+9

If we subtract 1 from both sides, we get y-1 = -2x + 8
Then factor out -2 on the right hand side: y-1 = -2(x - 4)

That's answer A!
You might be interested in
The length of a rectangular floor is twice its width. The floor is partially covered by a rectangular carpet whose length is the
r-ruslan [8.4K]

Answer:

Option C is correct.

Step-by-step explanation:

Let the length be L

Let the width be W

The length of a rectangular floor is twice its width.

So, we get L=2W

The length of the carpet is L

Carpet width is 2 feet less than the room, so W=W-2

Area of the carpet = 160 sq feet

We get :

L(W-2)=160

As L=2W, we get

2W(W-2)=160

=> 2W^{2} -4W=160

Equating to zero, we have

2W^{2} -4W-160=0

Taking out 2 common

W^{2} -2W-80=0

=> W^{2} -10W+8W-80=0

=> W(W-10)+8(W-10)=0

We get roots as : (W-10) and (W+8)

Hence, W = 10 and W = -8(neglect this negative value)

Now, the width = 10 feet

Length = 2(10)=20 feet

Hence, option C is the answer.

7 0
3 years ago
Mario vende dos autos a 30 000 dólares cada uno. En la venta de uno ganó el 20% y en la
Mariana [72]

Answer:

Mario perdió dinero, perdió 2500 dólares

Step-by-step explanation:

En el primer caso, Mario está vendiendo su carro en 30 000 dólares. En otras palabras, el precio de venta es 30 000. Te dice que en el primer carro ganó 20%, o sea que su precio de venta es una incógnita que llamaremos x y gano 20% de x. Podemos expresarlo de esta manera

x = precio de compra carro 1

x + (20% de x) = 30 000

x = 100 % de x

(100% de x) + (20% de x) = 30 000

120% de x =30 000

120% = 1.2

1.2x = 30 000

x = 25 000

El segundo caso es bastante parecido. Te indica que el precio de venta sigue siendo el mismo, pero el precio de compra es diferente. El precio de venta sigue siendo 30 000, pero el precio de compra del segundo carro esta vez será "y". En este caso, pierde 20% del precio de compra, o osea, pierde 20% de y. Se puede expresar de la siguiente manera:

y = precio de compra carro 2

y - (20% de y) = 30 000

y = 100% de y

(100% de y) - (20% de y) = 30 000

80% de y = 30 000

80% = 0.8

0.8y = 30 000

y= 37 500

Entonces tenemos que el precio de compra del carro uno es 25 000 dólares y el precio de compra del carro dos es de 37 500. Si sumamos ambas cantidades, tenemos que ambos carros costaron 62 500 dólares. Como vendió esos dos autos a 30 000 dólares cada uno, recibió 60 000 dólares. El precio por el que vendió los autos (60 000) es menor al precio del que los compro (62 500), por lo que eso representa una perdida.

Para hallar la cantidad que ganó o perdió (en este caso perdió) debes restar el precio de venta menos el precio de compra.

60 000 - 62 500 = -2 500

Como es un número negativo, representa una perdida.

6 0
3 years ago
What is the measure of angle B?
SCORPION-xisa [38]

Answer:

m<B: 56

Step-by-step explanation:

All triangles add up to 180

<B = x

x + 34 + 90 = 180

x + 124 = 180

x = 56

5 0
3 years ago
Read 2 more answers
The quotient of 12 divided by the difference of 3 times d minus 3
ale4655 [162]

Answer:

12

Step-by-step explanation:

12 divided by 3 is 4 and 4 times 3 is 12

8 0
4 years ago
Which of these myths do you think is probably believed by more people?
Sholpan [36]

Answer:

European explorers, like Christopher Columbus, were the first to cross the great oceans of the world.

5 0
4 years ago
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