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3 years ago

Are the graphs of the lines in the pair parallel? Explain. y=2\3x-17 4x-6y=-7

1 answer:

6 0

y=2\3x-17and 4x-6y=-7 implies - 6y= - 4x -7, and then y= (-4/-6)x +7/6 and so
y=2/3x+7/6

but when we have y=ax+b and y=a'x+b', the two lines are parallels if a=a', in our case 2/3=2/3 the lines are parallel

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lara31 [8.8K]

All you need to do is multiply the two together
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3 years ago

A boat took 5 h to travel 60 km up a river, against the current. The return trip took 3 h. Find the speed of the boat in still w

Dafna11 [192]

Answer:

Correct answer: V₁ boat = 16 km/h and V₂ current = 4 km/h

Step-by-step explanation:

If we take speed (velocity) of the boat as V₁ and speed of the current V₂

Let us form equations:

Traveling down the current V₁ + V₂ = 60/3 = 20 km/h

Traveling against the current V₁ - V₂ = 60/5 = 12 km/h

V₁ - V₂ = 12

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If we add up the left and right sides of the equations we get:

2 V₁ = 32 => V₁ = 32/2 = 16 km/h

from the second equation we get:

V₂ = 20 - V₁ = 20 - 16 = 4 km/h

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3 years ago

2x+5y=-7 7x+y=-8 Substitution Algebra 1

melomori [17]

{x,y} = {-1,-1}

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3 years ago

Help! what is the surface area of the prism? 128in^2, 768in^2, 384in^2, or 480in^2

Nimfa-mama [501]

Option C: $384 \ in^2$ is the surface area of the prism

Explanation:

Given figure is a triangular prism.

We need to determine the surface area of the triangular prism.

The formula to find the surface area of the triangular prism is given by

$S A=b h+(s 1+s 2+s 3) H$

where b is the base of the triangle,

h is the height of the triangle,

$s1,s2,s3$ are the three sides of the triangle and

H is the height of the prism.

Let us substitute the values $b=16$ , $h=6$ , $s1=16$ , $s2=10$ , $s3=10$ and $H=8$ in the formula, we get,

$SA=16(6)+(16+10+10)(8)$

Simplifying, we get,

$SA=96+(36)(8)$

Multiplying the term, we get,

$SA=96+288$

Adding the terms, we have,

$SA=384 \ in^2$

Thus, the surface area of the prism is $384 \ in^2$

Hence, Option C is the correct answer.

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3 years ago

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Step-by-step explanation:

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3 years ago

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