Answer:
- The third side may be between 1 and 13 units
Step-by-step explanation:
Let the missing side is x.
According to the triangle inequality theorem, the sum of any two sides of a triangle is greater than the third side.
<u>We have inequalities:</u>
- 6 + 7 > x ⇒ x < 13
- 6 + x > 7 ⇒ x > 1
- 7 + x > 6 ⇒ x > - 1
<u>The common solution is:</u>
Answer:
x = 9, y = 2 is the solution of the given system.
Step-by-step explanation:
Here, the given set of equation is :
2 x - 3 y = 12
x = 4 y + 1
Now, from equation (2) we see that x = 4 y + 1.
Substitute the value of y from (2) in the first equation. we get:
2 x - 3 y = 12 ⇒ 2 (4 y + 1) - 3 y = 12
or, 8 y + 2 - 3 y = 12
or, 5 y = 12- 2 = 10
or, y = 10/ 5 = 2
or, y = 2
Now, x = 4 y + 1 ⇒ x = 4(2) + 1 = 8 + 1 = 9, or x = 9
Hence, x = 9, y = 2 is the solution of the given system.
Answer:
Test it. Is 1.752 close to 8?
1.752 = 3.0625
3.0625 is not close to 8.
Step-by-step explanation:
Answer:
-3x^2 + 15x
Step-by-step explanation:
(3 - x) (x - 5)
=> (3x - 15) ( -x)
=> -3x^2 + 15x
