General formula of the parabola in vertex form is
f(x) =(x-h)² +k, where (h,k) is a vertex of the parabola.
f(x) = (x + 5)²- 28
h= -5, k = -28,
so (-5, -28) is a vertex of the given parabola.
Answer is A.
Answer:
7√3
Step-by-step explanation:
Given the following information,
Short = 7 = Opposite
Angle of elevation =30 degrees
Required
Long (Adjacent)
Using SOH CAH TOA identity
tan theta = 7/long
tan 30 = 7/long
long = 7/tan30
long= 7/1/√3
long = 7√3
Hence the long is 7√3
Answer:
9km
Step-by-step explanation:
If the distance on the map of 8cm between her house and school is equal to 12km actual distance. This means that each cm on the map represent 1.5km in actual distance (12/8=1.5).
This means that D is equal to 9km actual distance, because if each cm represents 1.5km, then 6 cm represents 9km (6x1.5=9).
Hope this helped!
Point P is located at 1/3 the distance from S to N
This means NP is 2/3 the distance.
16 /2 = 8, so each 1/3 distance is equal to 8.
NS = 8 units.