What is the distance between (-5,4) and (8,-2)

Answers

Answer 1
Answer: The distance between -5 and 8 is 13.

The distance between -2 and 4 is 6.

These two distances, including the hypotenuse which is the distance you want to discover - form a right angled triangle. The adjacent side of this right angled triangle has a length of 13, whilst its opposite side has a length of 6.

If you want to find the distance between (-5, 4) and (8, -2), you simply measure the hypotenuse of this invisible right angled triangle which has been formed. Let's call the length of this hypotenuse "d".

We shall use Pythagoras's theorem to produce our result:

{ d }^( 2 )={ 13 }^( 2 )+{ 6 }^( 2 )\n \n d=\sqrt { { 13 }^( 2 )+{ 6 }^( 2 ) } \n \n \therefore \quad d=\sqrt { 205 }

[*Complete answer derived on a calculator]

This means that the distance between (-5, 4) and (8, -2) is √(205)√(205) is approximately equal to 14.3.

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Find a ratio that compares the relative sizes of the quantities. 46 to 23

Answers

(46)/(23)=(2 * 23)/(1 * 23)=(2)/(1)

The ratio is 2:1.

The image of the point (9,0) under a translation is (7,4). Find the coordinates ofthe image of the point (0,8) under the same translation.

Answers

Answer:

(-2, 12)

Step-by-step explanation:

What comes next 12 17 22 27

Answers

Answer:

32

Step-by-step explanation:

count by fives

What is the answer..........

Answers

Come on, Kat !  The question tells you everything you could
possibly want to know, except what's for dinner tomorrow.

It gives you the formula at the bottom.
The formula is:
                            Interest = (Principle) x (Rate) x (Time) .

Above that, in the story, it gives you 3 of the 4 quantities in the formula:

Interest = $656
Principle = $1,000
Rate = 4.1%  (that's 0.041)

Do you think you could write those numbers into the formula,
and find out what the (Time) is ?

                                   656 = (1,000) x (0.041) x (T)

Divide each side by 41 .

You're welcome.

A rectangular garden has a perimeter of 578 yds.The length is one more than three times the width.
Find the dimensions of the garden.

Answers

Answer:

Width (w) = 72 yds

Length (L) = 217 yds

Step-by-step explanation:

Let L represent the length.

Let w represent the width.

From the question given above:

Perimeter (P) = 578 yds.

Length (L) is one more than three times the width (w). This can be written as. Follow:

three times the width (w) = 3w

Therefore, the length (L) is given by:

L = 1 + 3w

Next, we shall determine the value of length (L) and width (w). This can be obtained as follow:

Recall:

Perimeter of rectangle is given by:

P = 2(L + w)

P = 2L + 2w

Perimeter (P) = 578 yds.

Length (L) = 1 + 3w

Width (w) = w

P = 2L + 2w

578 = 2(1 + 3w) + 2w

Clear bracket

578 = 2 + 6w + 2w

578 = 2 + 8w

Collect like terms

578 - 2 = 8w

576 = 8w

Divide both side by 8

w = 576/8

w = 72

Therefore, the width is 72 yds

L = 1 + 3w

w = 72

L = 1 + 3(72)

L = 1 + 216

L = 217

Therefore, the length is 217 yds.

The dimensions of the garden is given below:

Width (w) = 72 yds.

Length (L) = 217 yds.

Hi can someone help me ty happy holiday days

Answers

Answer:

128 ,  512,  2048

Step-by-step explanation: