Answer:
centre = (2, - 3 ) and radius = 5
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 4x + 6y - 12 = 0 ( add 12 to both sides )
x² + y² - 4x + 6y = 12 ( collect x/ y terms )
x² + 4x + y² + 6y = 12
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(-2)x + 4 + y² + 2(3)y + 9 = 12 + 4 + 9
(x - 2)² + (y + 3)² = 25 ← in standard form
with (h, k ) = ( 2, - 3 ) and r = = 5
Answer:
see them bellow
Step-by-step explanation:
Answer:
Ted pays $47.98 before tax
Step-by-step explanation:
What was the cost of the purchases before the coupon
pole + bait+ shorts
35.99 + 12.99+14.99
63.97
If we take 25% off, we still have to pay (100% -25%) or 75%
take the purchases times 75%
63.97 * .75
47.9775
round to the nearest cent
47.98
Answer:
The taller building is the second building which is the apartment building on the left with an height of 58.4m
Step-by-step explanation:
This is a Trigonometric question. We solve this using the Tangent formula
tan θ = Opposite side/Adjacent side
We are given 2 buildings
Building 1
tan θ = Opposite side/Adjacent side
θ = Angle of Elevation = 40°
Distance from the base of the building = Adjacent = 56m
Height of the building = Opposite side = unknown
tan 40 = 0pposite/56m
Opposite = tan 40 × 56m
Opposite = 46.989579346m
Approximately = 47m
Height of Building 1 = 47m
Building 2
tan θ = Opposite side/Adjacent side
θ = Angle of Elevation = 50°
Distance from the base of the building = Adjacent = 49m
Height of the building = Opposite side = unknown
tan 50 = 0pposite/49m
Opposite = tan 50 × 49m
Opposite = 58.395926037m
Approximately = 58.4m
Height of Building 2 = 58.4m
The taller building is the second building which is the apartment building on the left with an height of 58.4m
Answer:
-7a-b-c
Step-by-step explanation:
(-4a+b-2c)-(3a+2b-c) Distribute the negative
-4a+b-2c-3a-2b+c Combine like terms
-7a-b-c