Answer:
A
Step-by-step explanation:
Remember that the x-value of the vertex when an equation is given in standard form can be found with the equation 
. So, we can take the coefficients from the equation and plug them in.
Now we know that the x-value of the vertex is 8. Next, the equation for the y-value is 
, where h is the x-value of the vertex (8).
So the vertex is (8,-1).
Finally, the axis of symmetry is the x-value of the vertex, also called h.
Final answer, vertex: (8,-1) and axis of symmetry: x=8
Hope this helps!
Answer:
C would be your answer
Step-by-step explanation:
Answer:
8 and yes
Step-by-step explanation:
c² - b² = a²
100 - 36 = a²
64 = a²
a = 8
the three sides form a sequence, 6, 8, 10, which is the pythagorean triple.
9514 1404 393
Answer:
Step-by-step explanation:
Compare the given equation to ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
You find that k = -5, m = 1/2, h = -12.
The point is (h, k) = (-12, 5). The slope is m = 1/2.
Answer:
4.61 m
Step-by-step explanation:
The angle of depression of the bottom of the shorter building from the top of the taller building = 48° equals the angle of elevation of the top of the taller building from the bottom of the shorter building
Using trig ratios
tan48° = H/d where H = height of taller building and d = their distance apart = 12 m
H = dtan48° = 12tan48° = 13.33 m
Also, the angle of elevation of the top of the shorter building from the bottom of the taller building is 36°
Using trig ratios
tan36° = h/d where h = height of shorter building
h =dtan36° = 12tan36° = 8.72 m
Now, the difference in height of the buildings is thus H - h = 13.33 m - 8.72 m = 4.61 m
