Answer:
-45x^11
Step-by-step explanation:
-5x^6 * 9x^5
Multiply -5x and 9x together:
-45x
Remember when multiplying powers, you add them together, which leaves you with:
-45x^11
24x^2 +25x - 47 53
----------------------- = -8x -3 - ---------------
ax-2 ax-2
add 53/ax-2 to each side
24x^2 +25x - 47+53
----------------------- = -8x -3
ax-2
24x^2 +25x +6
----------------------- = -8x -3
ax-2
multiply each side by ax-2
24x^2 +25x +6 = (ax-2) (-8x-3)
multiply out the right hand side
24x^2 +25x +6 = -8ax^2 +16x-3ax +6
24 = -8a 25 = 16 -3a
a = -3 9 = -3a
a = -3
Choice B
Answer:
D
Step-by-step explanation:
We need the formula for arc length (in radians) to solve this problem. The formula is:
Where
s is the arc length
r is the radius of the circle
is the intercepted angle
In this diagram, we can see that is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20
Also, if we look, we see that the radius is 5 cm, so r = 5
Now, we substitute into formula and find :
This is given in radians, so is 4 radians
D is the correct answer choice.
Answer:
x = 53
Step-by-step explanation:
Remember that the sum of all 3 interior angles in a triangle is 180∘ so
74 + x + x = 180
74 + 2x = 180
2x = 180 - 74
2x = 106
x = 106/2
x = 53
