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zhannawk [14.2K]
3 years ago
14

Find the midpoint of the line segment with end coordinates of:

Mathematics
1 answer:
Arisa [49]3 years ago
5 0

Answer:

The midpoint of this line segment is (-1.5, -4.5).

Step-by-step explanation:

In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:

                                             -2 -1

x-coordinate of midpoint = --------- = -3/2 = -1.5

                                                 2

                                              -4 -5

y-coordinate of midpoint = ---------- = -4.5

                                                   2

The midpoint of this line segment is (-1.5, -4.5).

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In the following figure, the square ABCD is inscribed in the circle centered at point P. What is the area of the circle?
Ainat [17]

Answer:

A_{Circle} \approx 39.24\: units^2

Step-by-step explanation:

Square ABCD is inscribed in a circle with center P such that BC = 5 units.

BD will be diagonal of the square as well as diameter of the circle.

BD = BC\times\sqrt 2

\implies BD = 5\sqrt 2

-> Diameter of the circle (d) = 5\sqrt 2

-> Radius of the circle (r) = 2.5\sqrt 2=3.535\: units

A_{Circle} =\pi(r)^2

\implies A_{Circle} =3.14(3.535)^2

\implies A_{Circle} =3.14(3.535)^2

\implies A_{Circle} =39.2381465

\implies A_{Circle} \approx 39.24\: units^2

8 0
3 years ago
Someone who actually knows what they doing please ‍♀️
mariarad [96]

Answer:

5/9 (F-32) = 25

Step-by-step explanation:

5/9 (F-32) = C

Multiply each side by 9/5

5/9 * 9/5 (F-32) =9/5 C

F -32 = 9/5 C

Add 32

F -32 +32 = 9/5 C +32

F = 9/5 C +32

We want 25 C to Fahrenheit

F = 9/5 *25 +32

F = 9*5 +32

F = 45+32

F = 77

5 0
3 years ago
Evaluate each logarithm. Do not use a calculator. ln ^3 square root e^4
Alona [7]

Answer:

\large\boxed{\ln\sqrt[3]{e^4}=\dfrac{4}{3}}

Step-by-step explanation:

\text{Use}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^\frac{4}{3}=\dfrac{4}{3}\ln e=\dfrac{4}{3}\cdot1=\dfrac{4}{3}

6 0
3 years ago
Alexander says that 3x + 4y is equivalent to (3)(4) + xy because of any order, any grouping. Is he correct why or why not
snow_lady [41]

Answer:

Alexander is incorrect because the expressions are not equivalent.

Step-by-step explanation:

If the expression is evaluated for any value of x, y; the result will not be same.

For instance, let assume x = 1 and y = 2

3x + 4y = 3 + 4 = 7

(3)(4) + xy = (3)(4) + (1 * 2) = 12 + 2 = 14

So, the expressions are not the same and Alexander is incorrect.

3 0
3 years ago
What is the length of the right triangle below in inches?​
k0ka [10]

Answer:

6in

Step-by-step explanation:

Using the pythagerous thereom,

10^2 = 8^2 + b^2

b^2 = 10^2-8^2

b^2 = 100-64

b^2 = 36

b = 6

<em>Feel free to mark this as brainliest :D</em>

8 0
3 years ago
Read 2 more answers
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