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3 years ago

What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)?

Mathematics

1 answer:

zhuklara [117]3 years ago

3 0

Answer:

y = x - 1

Step-by-step explanation:

Slope = 1

b = 5 - (1)(6)

b = -1

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X² - 7x = 9

oee [108]

Answer:

x=7+ the square root of 85 /2 , x = 7- the square root of 85/2

Step-by-step explanation: hope I helped

7 0

3 years ago

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Rs is an altitude of triangle RTE

Liono4ka [1.6K]

Yes Rs is an altitude of triangle RTE. What are you trying to ask

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4 years ago

What is 2.085× 10^6 in standard form?

Lilit [14]

2.085 x 10^6

= 2.085 x 100,000 = 2,085,000

The correct answer is C.

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4 years ago

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.

Let the distance covered be
$d$

When she left the house, she travelled at
$24 \: kph$

We were given the average speed to be
$20 \: kph$

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

Let
$x$
be the speed in the return trip.

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,

$16(t + 0.5)= 24t$

We expand and simplify to obtain;

$16t + 8= 24t$

This implies that,

$8= 24t - 16t$

.
$8= 8t$

$t = 1$

Hence the return trip took,

$t + 0.5 = 1 + 0.5 = 1.5$

hours.

4 0

4 years ago

Solve using the square root property.X^2=-12

Alla [95]

Answer:

x = ± 2i $\sqrt{3}$