Find what f(x) is when x = -2
3(-2) - 1 = -7
Find g(x) when x = 5
-(5) + 6 = 1
Add -7 + 1
-7 + 1 = -6
Option A)
Answer:
y = 2
x = 5
Step-by-step explanation:
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×4 |
12x + 15y = 30
12x - 12y = 84
____________--
27y = -54
y = -54/27
y = 2
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×5 |
12x + 15y = 30
15x - 15y = 105
____________+
27x = 135
x = 135/27
x = 5
The third side of the triangle is 26.
Explanation:
Given:
Two sides of the isosceles triangle are 26 and 10.
To Find:
The possible value of the third side
Solution:
Definition of Isosceles triangle:
An isosceles triangle is a triangle with (at least) two equal sides. Isosceles triangle has both two equal sides and two equal angles.
We also know the property of the triangle that
Sum of two sides of triangle > third side of the triangle
Case1. When third side is 10
Thee third side can’t be equal to 10 because it does not follow the rule of triangle
10+10>26………which is not possible
So the third side of the isosceles triangle is 26.
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Step-by-step explanation:
The given is,
a = 5
b = x - 1
c = x
Step:1
Pythagorean theorem is,
................................(1)
( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )
From the given values the equation (1) becomes,

(
)
25 + (
+ 1 - 2x ) = 
25 + 1 -2x = 0 ( ∵ Eliminate
in both sides)
26 = 2x
x = 13
Step:2
From the values of x,
a = 5
b = ( 13 - 1 ) = 12
c = 13
Result:
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.