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Dimas [21]
3 years ago
12

Find the distance between the points (13, 20) and (18, 8). 13 7 11

Mathematics
1 answer:
Lana71 [14]3 years ago
5 0

Answer:  13

Step-by-step explanation:

See attached graph.

A third point (18,20) may be added to the two given points to form a right triangle with sides 5 and 12.  The distance, x, between the original two points is given by x^2 = 5^2 + 12^2

x^2 = 25 + 144

X^2 = 169

x = 13

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Please explain how to do it because im very confused please and thank you!!!!!!!
mezya [45]

Answer:

<u>108°</u>

Step-by-step explanation:

Formula :

<u>Degree Measure = Arc length / radius x 180/π</u>

Solving :

Degree Measure = 3π/5 x 180/π

Degree Measure = 3 x 36

Degree Measure = <u>108°</u>

4 0
2 years ago
Read 2 more answers
Factor the expression and then evaluate without a calculator:
ivanzaharov [21]
The answer to the question

4 0
3 years ago
1. Given the equation (x – 3)2 – 32 = 17 a)
m_a_m_a [10]
We know that

The square root property<span> is one method that is used to find the solutions to a quadratic equation.  This method involves taking the square roots of both sides of the equation.  
</span>(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> <span>will take the square root of each side
</span>so
√(x – 3)²=(+-)√7²------> <span>notice the use of the </span> sign (+-), this will give us both a positive and<span>  a negative root
</span>
then

x-3=7--------> x=10
x-3=-7-------> x=-4

the answer Part a) is
x=10
x=-4

Part b) Explain why the given equation has two solutions.

the answer part b) is
Because exist<span> the possibility of two roots for every square root, one positive and one negative</span>
6 0
3 years ago
OPTIONS:
kondor19780726 [428]

You have to combine like terms (terms that have the same variable(x,y....) and power/exponent)²³

(4x³ - 4 + 7x) - (2x³ - x - 8)        Distribute -1 into (2x³ - x - 8)

(4x³ - 4 + 7x) + (-)2x³ - (-)x - (-)8   (two negative signs cancel each other out and become positive)

(4x³ - 4 + 7x) - 2x³ + x + 8    Now combine like terms

4x³ - 2x³ + 7x + x - 4 + 8     (I rearranged for the like terms to be next to each other)

2x³ + 8x + 4       It is equivalent to B

(-3x^2+x^4+x)+(2x^4-7+4x)       Combine like terms

-3x^2+x^4+2x^4+x+4x-7    (I rearranged for the like terms to be next to each other)

-3x^2+3x^4+5x-7    It is equivalent to D

(x² - 2x)(2x + 3)      Distribute x² into (2x + 3) and distribute -2x into (2x + 3)

(x²)2x + (x²)3 + (-2x)2x + (-2x)3

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together

2x³ + 3x² - 4x² - 6x      Combine like terms

2x³ - x² - 6x         It is equivalent to A

[Info]

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together. (You can combine the exponents only if they have the same variable)

For example:

x^{2} (x^3)=x^{(2+3)}=x^5

(y^3)x^2=y^3x^2         (You can't combine them because they have different exponents of y and x)

(5^2)(5^4)=5^{(2+4)}=5^6=15,625

7 0
3 years ago
Which two inequalities to compare |-5| and 4?
lilavasa [31]

Answer:

|-5|>4

Step-by-step explanation:

Negative 5 in absolute value is 5 since any number in absolute value turns out positive or at the very least 0. 5 is greater than 4, so |-5|>4.

7 0
3 years ago
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