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Angelina_Jolie [31]
2 years ago
13

If A= (6,11), B= (1,5), and C= (7,0), show by means of slopes that ABC is a right triangle. Name the hypotenuse.

Mathematics
1 answer:
nexus9112 [7]2 years ago
6 0

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

<h3>Right angled triangle</h3>

A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.

For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.

Find the slopes of AB, BC and AC

Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5

Slope of BC = 0-5/7-1
Slope of BC = -5/6

Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11

Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

Learn more on right angle triangle here: brainly.com/question/22790996

#SPJ1

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I need help to see if their equivalent help fast pls
Taya2010 [7]
They are <em><u>not</u></em><u> </u>equivalent. When you <em>distribute the 1/4</em>, the <em><u>expressions are different</u></em>. 
8 0
3 years ago
Which graph represents a function? A coordinate plane shows 4 points with the following coordinates: (negative 3, 3), (negative
Jet001 [13]

The ordered pair that represents a function is:

⇒ (-3, 3), (-2, -2), (1, 1), (2, -2)

<u>What are Coordinates?</u>

A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.

The given points are;

(-3, 3), (-3, -3), (-1, 1), (1, 4)

(-3, 3), (-2, -2), (1, 1), (2, -2)

(-3, 3), (-3, -3), (1, -4), (1, 1)

(-4, 4), (-4, 1), (-2, 1), (2, 1)

Now, For an ordered pair to be a function, either of the following must be true:

Each x-value has exactly one corresponding y-value.

More than one x-values have the same corresponding y-values.

And, If any of the following conditions is true, then the ordered pair is not a function,

One x-value has multiple corresponding y-values.

More than one x-values have multiple corresponding y-values.

From the given options, only ordered pair  (-3, 3), (-2, -2), (1, 1), (2, -2) satisfies the condition to be a function.

Because none of its x-values have multiple corresponding y-values.

And, Other ordered pairs are either one-to-many or many-to-many.

So, The ordered pair that represents a function is:

⇒  (-3, 3), (-2, -2), (1, 1), (2, -2)

To learn more about ordered pairs visit:

brainly.com/question/19267542

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4 0
1 year ago
Please answer asap!!<br>​
fredd [130]

Answer:

A

Step-by-step explanation:

6 is about halfway to 16

21 is about halfway to 56

they meet up, which makes the line the most accurate

Yw :D

7 0
2 years ago
What is the length of the hypotenuse of a right triangle with legs or 5cm and 6cm
Oksana_A [137]

Answer:

hypotenuse = squareroot of 61 cm.  which is approximately 7.81025 cm

Step-by-step explanation:

5 squared + 6 squared = hypotenuse squared

square root of (5 squared + 6 squared)= hypotenuse

6 0
2 years ago
Read 2 more answers
the derivative of the function f is given by f'(x)=x^2cos(x^2). How many points of inflection does the graph of f have on the op
Vsevolod [243]
The point of inflection is calculated by equating the second derivative to zero and determining x from there.

f"(x) = -x²2xsinx² + cosx²(2x) = 0

2xcosx² - 2x³sinx² = 0
2x (cosx² - xsinx²) = 0

2x = 0   ⇒  x = 0
cosx² - xsinx² = 0   ⇒ x = 3.82 (if you use shift+solve in your scientific calculator)

Thus, the function only has 1 point of inflection and it is at x = 0.
5 0
3 years ago
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