Answer:
4x/y¹¹
Step-by-step explanation:
1) take out constants
40/10 * x⁻⁴y⁻⁶/x⁻⁵y⁵
2) simplify 40/10 to 4
4 * x⁻⁴y⁻⁶/x⁻⁵y⁵
3) Use Quotient Rule: xᵃ/xᵇ=xᵃ⁻ᵇ
4x⁻⁴⁺⁵y⁻⁶⁻⁵
4) Simplify -4 + 5 to 1
4x¹y⁻⁶⁻⁵
5) simplify -6-5 to -11
4x¹y⁻¹¹
6) use rule of one: ₓ¹=ₓ
4xy⁻¹¹
7) use negative power rule: x⁻ᵃ=1/xᵃ
4x * 1/y¹¹
8) simplify
4x/y¹¹
Answer: 1 in 13
Step-by-step explanation:
Yes
1) The triangles are congruent by SSS.
The two tick marks indicate two pairs of congruent sides; it is evident that the third side is congruent by the way the diagram is drawn - the bases of the triangles are together and appear to be the same length.
2) The triangles are congruent by SAS.
The two pairs of tick marks indicate congruent sides, and their included angles are congruent because they are vertical angles, and vertical angles are always congruent.
Answer:
25π units^2
Step-by-step explanation:
The shape is a quarter circle with radius 10 units.
area of circle = πr^2
area of a quarter circle = (1/4)π(10 units)^2
area = 25π units^2
This statement is true, or else you wouldn't have a sphere.
