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3 years ago

1. Evaluate when y=3. 3y + 2 (2y+6) 33 27 3y+12

Mathematics

1 answer:

Aleksandr [31]3 years ago

7 0

Answer:

Step-by-step explanation:

3(3) + 2 (2(3)+6)

=9 + 2 (12)

=9 + 24

=33

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What is the equation of a line perpendicular to

Valentin [98]

Since the given line

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The equation of the line perpendicular to it must have a slope which is the negative reciprocal of ,
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3 years ago

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3 years ago

Read 2 more answers

Christy went on a round-trip bicycle ride starting at her house. When she left, she traveled downhill at a rate of 24 kilometers

vazorg [7]

Since this is a round-trip, Christy covered the same distance in both journey.

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$24 \: kph$

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Meaning if we add the speed in the return journey to 24 kph and find the average , we must obtain 20 kph.

Let
$x$
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Then
$\frac{24 + x}{2} = 20$

We solve for x to obtain;

$24 + x = 40$

$x = 40 - 24 = 16 \: kph$

We were also told that she took half an hour longer in the return trip.

If we let
$t$
represent the time the first journey took, then the return trip will take

$(t + 0.5) \: hours$

Now we have the following:

$First Journey$

$speed = \frac{d}{t}$

$24 = \frac{d}{t}$

$\Rightarrow d = 24t - - - (1)$

$Second Journey$

$16 = \frac{d}{t + 0.5}$

$\Rightarrow d = 16(t + 0.5) - - - (2)$

Now let us equate the two equations to obtain,

$16(t + 0.5)= 24t$

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$16t + 8= 24t$

This implies that,

$8= 24t - 16t$

.
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$t = 1$

Hence the return trip took,

$t + 0.5 = 1 + 0.5 = 1.5$

hours.

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4 years ago