Answer:
H = h + x
h = 568 meters
Step-by-step explanation:
The helicopter descends 114 meters to be 454 meters above the ground.
Therefore, the equation which describes this situation using h as the original height will be given by
H = h + x ....... (1)
Where H is the final height from the ground and x is the height that the helicopter ascends(Positive sign) or descends(Negative sign). (Answer)
Here, in our case, H = 454 meters and x = -114 meters.
Therefore, the original height of the helicopter from ground will be
h = H - x = 454 - (-114) = 568 meters. (Answer)
Answer:
D. y = -5^x – 27
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to −
x
+
5
y
=
14
.
y
=
−
5
x
−
27 PERPENDICULAAR
...................................................................................................................................................
Find the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line parallel to −
x
+
5
y
=
14
.
y
=
1
/5
x
−
1 PARALLEL
9514 1404 393
Answer:
B. 32 square inches
Step-by-step explanation:
Each of the two triangular faces has an area of ...
A = (1/2)bh = (1//2)(6 in)(4 in) = 12 in²
The lateral surface area is the product of the prism height (0.5 in) and the perimeter of the base.
LA = (0.5 in)(5 in +5 in + 6 in) = 8 in²
So, the total area is the area of the two base and the lateral area:
SA = 2A +LA
SA = 2(12 in²) +8 in² = 32 in²
The surface area of the prism is 32 square inches.
