Answer: correct answer is B.(2x+3y)(4x^2-6xy+9y^2)
8x^3 + 27y^3
(2x)^3+(3y)^3
(2x+3y)(4x^2-6xy+9y^2) <----answer
(x-1)^2+(y-4)=4 is the answer but the pyth theorem is for triangles
Answer:
Step-by-step explanation:
Question (1).
OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.
A). ∠OPS ≅ ∠RSU [corresponding angles]
B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]
C). m∠OPS + m∠OPN = 180° [Linear pair of angles]
D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]
And m∠TSP + m∠TSU = 180° [Linear pair of angles]
Therefore, Option (A) is the correct option.
Question (2).
A). m∠RSP + m∠RSU = 180° [Linear pair of angles]
B). m∠RSP + m∠PST = 180° [Linear pair of angles]
C). ∠RSP ≅ ∠TSU [Vertically opposite angles]
D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]
Therefore, Option (C) will be the answer.
Angle a is 35 degrees angle b is 55 degrees angle c is 110 degrees
Answer: 2.6
Step-by-step explanation:
Step 1: Calculate the mean of Shade's plant heights.
= 7+12+12+8+9+8+8+8/8
= 72/8
=9
Step 2: Calculate the range of Shade's plant heights. Range is highest minus lowest number. This will be:
12 - 7 = 5
Step 3: Calculate the mean of Sun plant heights.
19+24+20+23+24+23+23+20/8
= 176/8
= 22
Step 4: Find the range of Sun plants height.
= 24 - 19 = 5
Step 5: Find the difference of means
= 22 - 9
= 13
Step 6: Divide the difference of means by the range.
= 13 ÷ 5
= 2.6
