<span>(5a</span>⁴<span>b</span>²<span>)</span>³<span>(-2b</span>⁴<span>) = (125a</span>¹²b⁶<span>)(-2b</span>⁴<span>) = -250a</span>¹²b¹⁰
Answer:
11.25 ft/sec
Step-by-step explanation:
Given that a jogger runs around a circular track of radius 55 ft.
. Let (x,y) be her coordinates, where the origin is the center of the track.
Then we know x,y satisfies the equation of the circle as

Let us differentiate this implicit function with respect to t

At this point, dx/dt 15 and x=33. y =44
Substitute to have

dy/dt = 11.25 ft /s
Answer:
7) No
8) Yes
Step-by-step explanation:
Tangent lines are perpendicular to the radius lines at the point of intersection. So we just need to check if these are right triangles.
7) c² = a² + b²
20² = 12² + 14²
400 = 340
No
8) c² = a² + b²
13² = 7.8² + 10.4²
169 = 169
Yes
General formula for area of triangle is
.
Where:
is height of triangle perpendicular to base side of triangle.
is the length of base side of triangle.
Multiplying
and
results in rectangle, dividing that by 2 gives you area of a triangle.
Hope this helps.
Answer:
2%
Step-by-step explanation:
28/140=0.2