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earnstyle [38]
3 years ago
10

ABC is a right triangle. If AB = 3 and AC = 7, find BC. Leave your answer in simplest radical form.

Mathematics
2 answers:
aivan3 [116]3 years ago
8 0
1. Suppose that BC is hypotenuse, then by Pythagorean theorem:
BC^2=AC^2+AB^2, \\ BC^2=3^2+7^2, \\ BC^2=9+49, \\ BC^2=58, \\ BC= \sqrt{58}.
2. If BC is not hypotenuse, then BC is a leg and AC is hypotenuse (because AC>AB). Hence by Pythagorean theorem:
AC^2=AB^2+BC^2, \\ 7^2=3^2+BC^2, \\ BC^2=49-9, \\ BC^2=40, \\ BC= \sqrt{40} =2 \sqrt{x10}.
Anna [14]3 years ago
5 0
If AB is the shortest side and AC is not the hypotenuse the answer would be √58.
If AC is the hypotenuse the answer would be 2√10.
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alexgriva [62]

Answer:

8

x

3

+

2

x

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−

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x

+

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Explanation:

We have:

(

2

x

+

3

)

(

4

x

2

−

5

x

+

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)

Now let's distribute this piece by piece:

(

2

x

)

(

4

x

2

)

=

8

x

3

(

2

x

)

(

−

5

x

)

=

−

10

x

2

(

2

x

)

(

6

)

=

12

x

(

3

)

(

4

x

2

)

=

12

x

2

(

3

)

(

−

5

x

)

=

−

15

x

(

3

)

(

6

)

=

18

And now we add them all up (I'm going to group terms in the adding):

8

x

3

−

10

x

2

+

12

x

2

+

12

x

−

15

x

+

18

And now simplify:

8

x

3

+

2

x

2

−

3

x

+

18

Step-by-step explanation:

6 0
3 years ago
Can someone help me with this problem please ​
salantis [7]
Domain: f (x) is the set of all values for which the function is defined
range: the set of all values that f takes
hope this helps
4 0
3 years ago
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Answer:

3.7

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3 years ago
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Nastasia [14]

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Therefore f - g = 5x^2 - 4x - (5x + 1)

= 5x^2 - 4x - 5x -1

= 5x^2 -9x - 1


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8 0
3 years ago
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