To solve this, plug 3 into x. The equation will be f(3)=-3-2. This simplifies to -5.
Question a:
f(6) = (6)² + 2(6) + 8
f(6) = 36 + 12 + 8
f(6) = 56
Question b:
f(x+4) = (x+4)² + 2(x+4) + 8
f(x+4) = x² + 8x + 16 + 2x + 8 + 8
f(x+4) = x² + 10x + 32
Question c:
f(-x) = (-x)² + 2(-x) + 8
f(-x) = x - 2x + 8
The y-intercept of 
and the y-intercept of 
are equal
The equations are given as:
Make y the subject in both equations
<u>First equation</u>
<u>Second equation</u>
A linear equation is represented as:
Where b represents the y-intercept
So: By comparison,
--- the y-intercept of the first equation
--- the y-intercept of the second equation
2 = 2.
Hence, the y-intercept of and the y-intercept of are equal
Read more about y-intercepts at:
brainly.com/question/4015585
check the picture below.
so, when we have a line from a 90° angle running perpendicular to the opposite side, like in this case, we end up with three similar triangles, a large one containing the other two, a medium and a small one.
now, using the sides proportions as you see there, of the small and large one, we get that much.
Option D:
Segment DF
Solution:
Let us first define the relationship between the side and angle in triangle.
<u>Relationship between the side and angle in triangle:</u>
- The shortest side is always opposite to the smallest interior angle.
- The largest side is always opposite to the largest interior angle.
To find the largest side in ΔDEF:
Largest angle in ΔDEF is ∠E = 73°
So, the side opposite to 73° is DF.
Therefore, Option D is the correct answer.
Hence the segment DF is the longest side in the ΔDEF.
