Pythagorean Theorem: a^2 + b^2 = c^2

Question 6 options:


No. Since 7^2+9^2≠11^2, the triangle cannot be a right triangle.



Yes. Since 7^2+9^2=11^2, the triangle must be a right triangle.



Yes. Since7^2+9^2≠11^2, the triangle must be a right triangle.



No. Since 7^2+9^2=11^2, the triangle cannot be a right triangle.

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Answer:

  No. Since 7^2 + 9^2 ≠ 11^2, the triangle cannot be a right triangle.

Step-by-step explanation:

You may recall that side lengths of 3, 4, 5 make a right triangle. That particular triple has several interesting characteristics. One is that it is the only (reduced) triple that is an arithmetic sequence (has a constant difference between the side lengths). Any right triangle that has sides that differ by a constant amount must be a multiple of 3, 4, 5.

Here, we have sides of length 7, 9, 11—values that differ by 2. They form an arithmetic sequence that is not a multiple of 3, 4, 5, so we know right away they cannot be sides of a right triangle.

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If we want to use the Pythagorean relation to check, we can see if the equation is true:

  7² + 9² = 11²

  49 + 81 = 121

  130 = 121 . . . . . . Not True

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Watch the video of Norman. What type of energy transformation is happening?

Norman sliding his foot across the floor.

A. Electrical energy is created by friction when his foot slides across the floor.
B. The mechanical energy of his foot moving across the floor is transformed into chemical energy.
C. When his foot is sliding across the floor, it creates heat energy through friction.
D.When his foot rubs against the floor, the energy of motion changes into light energy.

help help help help
A city map is laid out on a coordinate grid with City Hall at the origin. Each unit on the grid represents a distance of one city block.

Max spends the day running errands and visiting the following locations before heading back to his apartment.

Location Coordinates
Post Office (–15, –4)
Library (–15, 16)
Police Station (–3, 16)
Bank (–3, 8)
Coffee Shop (4, 8)
Pet Store (4, –4)
Grocery Store (–8, –4)

Which of the following options has a distance of 12 city blocks? Select three that apply.
Library to Police Station
Police Station to Bank
Bank to Coffee Shop
Pet Store to Grocery Store
Coffee Shop to Pet Store
Post Office to Library

Triangles ABC and RST are similar. Find ST.

What are the values of A, B, and C in the equation –4x – 5y = 8?

Please help I do not understand pleasee brainliest!

Need help with question 4 :(

Determine if each solid is a prism, pyramid, cylinder, cone, or sphere.

Figure A is a ______.

O A.) Cone
O B.) Cylinder
O C.) Pyramid
O D.) Sphere

Figure B is a ______.

O A.) Circle
O B.) Cone
O C.) Cylinder
O D.) Sphere

Figure C is a ______.

O A.) Cone
O B.) Cylinder
O C.) Prism
O D.) Sphere

Figure D is a ______.

O A.) Cone
O B.) Cylinder
O C.) Pyramid
O D.) Sphere

Write an equivalent expression using the distributive property.
2x + 6

1. The figure shows a graph of the function of f(x) in the xy-coordinate plane, with the vertex at (1,9) and the zeros
at -2 and 4.
x
5 6 7 8 9
The function g is defined by g(x) = -3x + 2. Which statements are true? Select ALL that apply.
f{-2) is greater than g(-2).
f{-1) is less than g(-1).
f{0) is greater than g(0)
f(1) is less than g(1).
f(2) is greater than g(2).

Can someone help please??/

You have two cards with a sum of 0 in your hand. What two cards could
you have?

Can somebody please help me out with this. We have to do it point slope form.
[tex]y - y_{1} = m( x - x_{1})[/tex]
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Romeo has captured many yellow-spotted.....

The owner of a new coffee shop is keeping track of how much each customer spends (in dollars). One hundred of these amounts are shown in the table below. These amounts will form the population for this question.

dollar amounts

A random number table was used to generate the following numbers: 01, 03, 72, 15, 53, 20, 07, 63, 82, and 91. Use these two digit numbers to select a random sample from the table above. (NOTE: these are NOT dollar amounts. You use these digits to find the dollar amounts.)

Which choice below reflects the random sample of the 10 dollar amounts you found?

Question 3 options:

4.67, 4.06, 4.75, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, and 5.58


4.67, 4.06, 4.94, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, and 5.58


6.18, 4.06, 4.94, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, 5.58


6.18, 4.06, 4.94, 7.09, 4.10, 3.12, 4.86, 4.05, 5.00 and 5.58

please help with this
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Please help with this question,Best answer will be marked as brainliest-
convert the following equations in statement form-
(i) 2x - 1 = 8
(ii) 7y + 3 = 10
(iii) 3y/7 = 1

Please help with this lolll (A, B and, C are NOT answers, they're questions.)

What is the distance between (-2, -3) and (-4, 3)?

HELPPPPPP,
Eva has 10 cups of flour. She needs 2 and 1/3 cups of flour for each cake that she bakes. How many WHOLE cakes can Eva make with amount of flour she has?

Can someone pls help me ASAP

Which choice below reflects the random sample of the 10 dollar amounts you found?

Question 3 options:

4.67, 4.06, 4.75, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, and 5.58


4.67, 4.06, 4.94, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, and 5.58


6.18, 4.06, 4.94, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, 5.58


6.18, 4.06, 4.94, 7.09, 4.10, 3.12, 4.86, 4.05, 5.00 and 5.58

15 point, please help :>

*If there is a decimal, write it to the nearest tenth (1 decimal place)*

Mean:

Median:

Mode:

Range:

this is so hard i need some help ill give brainliest too

Please see image below

Lisa and her 17 classmates are donating money to a local charity. Each student will donate $5.25. How much money are Lisa and her classmates donating altogether?

Jamie took a test. She got 31 correct, and 13 incorrect. Find the percentage of incorrect answers to correct answers. Explain with all steps.

In the equation 32 - b = 3b - 8, what is the value of b?

A.6
B.10
C.20
D.5