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3 years ago

What is the distance, rounded to the nearest tenth, between the points (2,-2) and (6,3)?

Mathematics

1 answer:

galina1969 [7]3 years ago

3 0

Answer:

4.12 units (4.1 units rounded to the nearest tenth)

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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

Divide and simplify 6/7÷(-13/2)

nirvana33 [79]

Answer: -12/91

Step-by-step explanation:

6/7 ×-2/13=-12/91

6 0

3 years ago

I need help please help

goldfiish [28.3K]

Answer:

[6, 18]

Step-by-step explanation:

the first matrix has the dimensions 1 x 2 (1 row, 2 columns). The send has the dimensions 2 x 2. Because of this it is possible to do matrix multiplication and the result will be a 1 x 2 matrix.

Multiply the column -2, 7 by the row 4, 2:

We get (-2)(4) + (7)(2), which simplfies to 6. This is the first element of the 1 x 2 product.

Multiply the column 5, -1 by the row 4, 2: We get (5)(4) + (-1)(2), or 18.

The fourth answer choice is the correct one: [6, 18]

6 0

4 years ago

Elias writes the numbers 1 through 20 on separate slips of paper. There are 16 white slips of paper and four yellow slips of pap

DENIUS [597]

Answer:

odd

Step-by-step explanation:

3 0

3 years ago

UREGENT HELP please quick

Pavlova-9 [17]

Answer:

Step-by-step explanation:

8 0

3 years ago