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1 year ago

What is the distance between points (-3,2) (7,13)

Mathematics

1 answer:

Gennadij [26K]1 year ago

6 0

Using the formula, the distance between points (-3,2) and (7,13) is of 14.9 units.

<h3>What is the distance between two points?</h3>

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

This formula is derived from the Pythagorean Theorem, as the points form a right triangle in the xy-plane, with the hypotenuse being the distance between them.

For this problem, the coordinates of the points are given as follows:

(-3,2) and (7,13).

Hence we apply the formula to find the distance between them as follows:

$D = \sqrt{(7 + 3)^2+(13 - 2)^2} = 14.9$

The distance is of 14.9 units.

More can be learned about the distance between two points at brainly.com/question/18345417

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The equation V = 16300 (0.94)^t represents the value (in dollars) of a car t years after its purchase. Use this equation to comp

Dafna1 [17]

Solution:

Given:

$V=16300(0.94)^t$

The value of a car after t - years will depreciate.

Hence, the equation given represents the value after depreciation over t-years.

To get the rate, we compare the equation with the depreciation formula.

$\begin{gathered} A=P(1-r)^t \\ \text{where;} \\ P\text{ is the original value} \\ r\text{ is the rate} \\ t\text{ is the time } \end{gathered}$

Hence,

$\begin{gathered} V=16300(0.94)^t \\ A=P(1-r)^t \\ \\ \text{Comparing both equations,} \\ P=16300 \\ 1-r=0.94 \\ 1-0.94=r \\ r=0.06 \\ To\text{ percentage,} \\ r=0.06\times100=6\text{ \%} \\ \\ \text{Hence, } \\ P\text{ is the purchase price} \\ r\text{ is the rate} \end{gathered}$

Therefore, the value of this car is decreasing at a rate of 6%. The purchase price of the car was $16,300.

5 0

1 year ago

Factor completely 4x4 − 24x3 + 36x2.

ipn [44]

The previous answer from another person got deleted, so I'm here to put it back in my own words.

(Edit: The answer is A)

First of all, you can take 4 out of each, so simplify everything by 4.

4(x^4 - 6x^3 + 9x^2)

Next, you can see that you're able to take out x^2

4x^2(x^2 - 6x + 9)

You can see that both x^2 and 9 are perfect squares, meaning you can crunch them together like this

(x+3)^2 or (x-3)^2

Of course, only one would work, and as fate has it, (x-3)^ produces x^2 - 6x + 9

This would turn the now factored equation into :

4x^2(x-3)^2 or 4x^2(x-3)(x-3), this means the answer is A

6 0

3 years ago

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Nuetrik [128]

Answer:

978 in^2

Step-by-step explanation:

the area of the rectangle:

24in X 30in = 720 in^2

the area of the two similar triangles:

12 X 9 / 2 + 12 X 9 / 2 = 108 in^2

the area of the last triangle:

20 in X 15 in /2 = 150in^2

the total area is the sum of the areas:

720in^2 + 108in^2 + 150in^2 = 978in^2.

7 0

3 years ago

??????? ??????<br>??????,?,<br>??????

Nataly [62]

Answer:

Step-by-step explanation:

Plug n the h and j so you get 6-(2-1). Due to PEMDAS you do the parenthesis first then subtract so it become 6-1=5. ( You could use distributive property)

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3 years ago

Read 2 more answers

4) Which pair of triangles is congruent by Angle - Angle- Side?

andrey2020 [161]

Answer:

1. Not equal

2. Equal but not connected

3. Equal

4. Equal

Step-by-step explanation: Sorry if not correct :(

3 0

3 years ago