(2B +5A)/7 = (2(-2, -12) +5(-9, 2))/7 = (-4-45, -24+10)/7 = (-7, -2)
Selection B is appropriate.
Answer:
y=4
Step-by-step explanation:
Answer:
21 kilometers
Step-by-step explanation:
Let the height be 
. Then, the length of the base is 
. The formula for the area is of the triangle is given by base*height/2. Therefore, the area of the triangle is equal to 
, which is in turn equal to 441. Since must be positive, then 
, meaning that the height is 
kilometers.
Answer:
£17376.10
Step-by-step explanation:
Percentage increase.
16870 × (1 + 3%)
16870 × 1.03
= 17376.1
Answer:
The equation is ( x² / 9 ) - ( y² / 7 ) = 1
Step-by-step explanation:
Given the data in question;
hyperbola is centered at the origin, this means h and k are all equals to 0.
Vertices: (-3,0) and (3,0)
Since y-coordinates are constant, this implies it is a hyperbola with horizontal transverse axis.
h - a = -3
0 - a = -3
a = 3
Foci: (-4,0) and (4,0)
h - c = -4
0 - c = -4
c = 4
we know that, for a hyperbola
c² = a² + b²
so
⇒ ( 4 )² = ( 3 )² + b²
16 = 9 + b²
b² = 16 - 9
b² = 7
So the equation for the hyperbola will be;
⇒ ( (x-h)² / a² ) - ( (y-k)² / b² ) = 1
so we substitute
⇒ ( (x-0)² / 3² ) - ( (y-0)² / 7 ) = 1
⇒ ( x² / 3² ) - ( y² / 7 ) = 1
⇒ ( x² / 9 ) - ( y² / 7 ) = 1
Therefore, The equation is ( x² / 9 ) - ( y² / 7 ) = 1
