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Margaret [11]
2 years ago
7

Pablo and Nadia are playing a game on a coordinate grid. Pablo puts a playing piece at point (-2, 3) and Nadia puts a playing pi

ece at (3, -1). What is the distance between the two playing pieces?
Mathematics
1 answer:
7nadin3 [17]2 years ago
5 0

Answer:

The distance between the two playing pieces is of 6.4 units.

Step-by-step explanation:

Suppose we have two points:

A = (x_{1}, y_{1})

B = (x_{2}, y_{2})

The distance between these points is:

D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}

Distance between:

A(-2,3) and B(3,-1)

D = \sqrt{(3 - (-2))^{2} + (-1 - 3)^{2}} = \sqrt{41} = 6.4

The distance between the two playing pieces is of 6.4 units.

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Evaluate 10m +\dfrac {n^2}410m+ 4 n 2 ​ 10, m, plus, start fraction, n, squared, divided by, 4, end fraction when m=5m=5m, equal
Readme [11.4K]

Answer: 54

Step-by-step explanation:

Given the following expresion provided in the exercise:

10m+\frac{n^2}{4}

You can follow these steps in order to evaluate it when m=5 and n=4:

1. You need to substitute m=5 and n=4 into the given expression:

10(5)+\frac{(4)^2}{4}

2. Now you can solve the mutiplication:

=50+\frac{(4)^2}{4}

3. Since 4^2=4*4, you get:

=50+\frac{16}{4}

4. You must solve the division. Divide the numerator 16 by the denominator 4. Then:

=50+4

5. And finally, you must solve the addition. So, you get this result:

=54

3 0
2 years ago
Plato explains that we know geometry by _________.
sasho [114]

<span>Plato explains that we know geometry by our gain knowledge through recollection. Our soul is what recollects this place hence we came where there exist unchanging truths. Delivered the theory of Forms, according to which the world people know by means of the senses is just an imitation of the eternal, pure, eternal, and fixed world of the Forms.</span>

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2 years ago
True or false: the regression sum of squares (ssr) can never be greater than the total sum of squares (sst).
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8 0
2 years ago
In the equation below, a and b are constants. If a = b, what is the value of x in terms of y ? 2xa=8yb Select one:
Bas_tet [7]

Answer: x=4y

Step-by-step explanation:

The equation is 2xa=8yb.

To find the value of the variable "x" in terms of "y", you need to apply the Division property of equality and divide both sides of the equation by "2a". Then:

\frac{2ax}{2a}=\frac{8yb}{2a}

x=\frac{8yb}{2a}

You know that the costants "a" and "b" are equal (a=b), then:

 \frac{b}{a}=1

Knowingt this, you can simplify.

Therefore, you get that the value of "x" in terms of "y" is:

x=4y

7 0
2 years ago
When a water tank is $30\%$ full, it contains 27 gallons less than when it is $20\%$ empty. How many gallons of water does the t
aksik [14]

Answer:

54 gallons

Step-by-step explanation:

Let x represent the volume of the full tank.

When the water tank is 30% full;

= 30% of x = 0.30x

when it is 20% empty:

= x - 20% of x = x - 0.20x = 0.80x

The difference is given as 27.

So, we can represent the question on an equation as;

0.80x - 0.30x = 27

Solving the equation, we have;

0.50x = 27

x = 27/0.50

x = 54 gallons

The tank can hold 54 gallons when it is full.

3 0
2 years ago
Read 2 more answers
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