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ozzi
2 years ago
15

Factor: m^2 - 20m - 21

Mathematics
1 answer:
Anton [14]2 years ago
4 0

Answer: (m-21)(m+1)

Step-by-step explanation:

To factor this trinomial, find two numbers that multiply to -21 and add to -20:

(-21)(1)=-21

-21+1=-20

They are -21 and 1.

Add -21 and 1 to m to get both factors:

(m+(-21)) and (m+1)

(m-21) and (m+1)

Multiply them to get the answer:

(m-21)(m+1)

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Given the point (2,3) and the slope of 4 ,find y when x=22
Mariulka [41]
Y - y₁ = m(x - x₁)
 y - 3 = 4(22 - 2)
 y - 3 = 4(20)
 y - 3 = 80
   + 3  + 3
     y = 83
4 0
3 years ago
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The blue segment below is a diameter of OO. What is the length of the radius of the circle? O A. 2.95 units O B. 11.8 units O c.
Archy [21]

Answer:

The length of the radius is <u><em>2.95 units </em></u>

6 0
2 years ago
PLEASE HELP I HAVE NO IDEA HOW TO ANSWER THIS :(
dolphi86 [110]

The other 2 angles of given right angles are 61.93° and 28.072°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

Step-by-step explanation:

The given is,

                 Right angled triangle,

                 Side lengths are 8, 15, and 17  

Step:1

                The given triangle is right angle triangle by the converse of Pythagorean theorem, so the trigonometric ratio,

               Ref the attachment,

               For angle a,

                            ...................................................(1)

                 Where,  Opp - 8

                                Hyp - 17

                 From equation (1),

                                      

                                      = 0.470588

                                      (0.470588)

                                   a = 28.072°

                    For angle b,

                                  ...................................................(1)

                 Where,  Opp - 15

                                Hyp - 17

                 From equation (1),

                                      

                                      = 0.882352

                                      (0.882352)

                                   b = 61.93°

Step:2

          Check for solution for right angle triangle,

                        90 ° = Other 2 angles

                        90 ° = a + b

                        90 ° = 28.072° + 61.93°

                        90 ° = 90 °

Result:

          The other 2 angles of given right angles are 61.93° and 28.07°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

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Answer:uh what?

Step-by-step explanation:

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