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Tom [10]
3 years ago
13

Are the lines y = -x - 6 and 3x - 3y = 9 perpendicular? Explain

Mathematics
1 answer:
irakobra [83]3 years ago
4 0

Answer:

the lines are perpendicular

Step-by-step explanation:

if they are perpendicular the products of their gradients would be -1

the gradient of y=-x-6 is -1

the second equation needs to written to conform to y=mx+c

hence, 3x-3y=9

3x-9=3y

y=3x-9/3=x-3.the gradient of this line is 1

1x-1=  -1

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The temperature was t°F. It fell 8°F and is now 32°F. What was the original temperature?
e-lub [12.9K]
Its 40 you basically add it kus if it gets colder than the temperature must of been higher so you add
4 0
3 years ago
En una sociedad participan 5 socios, colocando todos capitales iguales, lo unico que el primer socio estuvo 1 año y medio, el se
Mashutka [201]

Answer:

Socio 1 recibirá Q. 10,690, Socio 2 recibirá Q. 5,345, Socio 3 recibirá Q. 13,655, Socio 4 recibirá Q. 11,285 y Socio 5 recibirá Q. 14,255.

Step-by-step explanation:

Dado que en una sociedad participan 5 socios, colocando todos capitales iguales, lo único que el primer socio estuvo 1 año y medio, el segundo 9 meses, el tercero 5 meses mas que el primero, el cuarto 1 año 7 meses y el quinto 2 años, para determinar cuánto le toca a cada socio de una utilidad de Q. 55,230.00 se deben realizar los siguientes cálculos:

Socio 1 = 1.5 años

Socio 2 = 0.75 años

Socio 3 = 1.916 años

Socio 4 = 1.583 años

Socio 5 = 2 años

Total = 1.5 + 0.75 + 1.916 + 1.583 + 2 = 7.75

Socio 1 =

7.75 = 100

1.50 = X

1.50 x 100 / 7.75 = X

19.35 = X

55,230 x 0.1935 = 10,690

Socio 2 =

7.75 = 100

0.75 = X

0.75 x 100 / 7.75 = X

9.68 = X

55,230 x 0.0968 = 5,345

Socio 3 =

7.75 = 100

1.916 = X

1.916 x 100 / 7.75 = X

24.72 = X

55,230 x 0.2472 = 13,655

Socio 4 =

7.75 = 100

1.583 = X

1.583 x 100 / 7.75 = X

20.43 = X

55,230 x 0.2043 = 11,285

Socio 5 =

7.75 = 100

2 = X

2 x 100 / 7.75 = X

25.81 = X

55,230 x 0.2581 = 14,255

Por lo tanto, Socio 1 recibirá Q. 10,690, Socio 2 recibirá Q. 5,345, Socio 3 recibirá Q. 13,655, Socio 4 recibirá Q. 11,285 y Socio 5 recibirá Q. 14,255.

5 0
2 years ago
HELP PLEASE Which expression is equivalent to:
mojhsa [17]

21 V³ 15- 9V³15

= (21-9)V³15

= 12V³15

4 0
2 years ago
Choose the equation below that represents the line passing through the point (1, -4) with a slope of 1/2
tatiyna

For this case we have that by definition, the line equation of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the statement we have:

m = \frac {1} {2}

Thus, the equation is of the form:

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We substitute the given point and find "b":

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Finally, the equation is of the form:

y = \frac {1} {2} x- \frac {9} {2}

Answer:

y = \frac {1} {2} x- \frac {9} {2}

6 0
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Otrada [13]

Answer:

(n-10)

Step-by-step explanation:

Jdjdjdhbejdudjkdff

8 0
2 years ago
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