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MariettaO [177]
3 years ago
11

2x + y = −3 −2y = 6 + 4x Write each equation in slope-intercept form.

Mathematics
1 answer:
Zanzabum3 years ago
6 0

slope intercept form is y=mx+b

so solve for y


2x+y=-3

minus 2x both sides

y=-2x-3


-2y=6+4x

divide both sides by -2

y=-3-2x

y=-2x-3

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For the triangles to be congruent by HL, what must be the value of x?
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11. Write the equation in slope intercept form that has a slope of -23 and passes through the point (-1, 2).
insens350 [35]
11. y = -23x - 21

You can get this by starting with y = mx + b (slope intercept form). Then put in all the knowns and solve for the b. 

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2 years ago
A light bulb consumes 1440 watt-hours per day. How many watt-hours does it consume in 4 days and 18 hours.
dimaraw [331]

Answer:

6840

Step-by-step explanation:

Well we know there's 24 hours in a day so dividing that by 1440 we get 60. Now we know that it consumes 60 watts ever hour. so now we just have to figure out how many hours there are and times that by 60. So there are 96 hours in 4 days plus 28=114. So times that by 60 ( watts) 114×60=6840

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6 0
2 years ago
En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rec
elixir [45]

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².  

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁  (1)  

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):      

l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm  (2)            

a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm   (3)    

El perímetro del rectángulo interno es:

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Introduciendo la ecuación (2) y (3) en (4):

P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm  

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

 

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

l_{2} = 2a_{2}     (5)

Introduciendo (5) en (4):

P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}

a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm

l_{2} = 2a_{2} = 2*12 cm = 24 cm

Entonces el área es:

A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².      

Espero que te sea de utilidad!  

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