Answer:
A is correct
Step-by-step explanation:
Answer:
we conclude that:
Step-by-step explanation:
Given
f(x) = x+9
g(x) = x² + 7x – 14
To determine
g(f(-5)) = ?
First, we need to find f(-5)
f(x) = x+9
substitute x = -5
f(-5) = (-5)+9
f(-5) = -5+9
f(-5) = 4
so
g(f(-5)) = g(4)
Now, we need to find g(4)
g(x) = x² + 7x – 14
substitute x = 4
g(4) = (4)² + 7(4) - 14
g(4) = 16 + 28 - 14
g(4) = 30
i.e.
g(f(-5)) = g(4) = 30
Therefore, we conclude that:
Answer:
∠TRS = 40°
Step-by-step explanation:
∠UTS is an exterior angle of the triangle
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
∠UTS = ∠TRS + ∠RST
9x - 15 = 3x + 16 + x + 9
9x - 15 = 4x + 25 ( subtract 4x from both sides )
5x - 15 = 25 ( add 15 to both sides )
5x = 40 ( divide both sides by 5 )
x = 8
∠TRS = 3x + 16 = (3 × 8) + 16 = 24 + 16 = 40°
Check the picture below. So let's use those two points on the line.
bearing in mind that the standard form is also a general form.
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
