If you would like to solve (25 * x^2) / (5 * x) + (8 * x^2) / x.
it would be easy calculate this using the following steps:
(25 * x^2) / (5 * x) + (8 * x^2<span>) / x = 5 * x + 8 * x = 13 * x
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<span>The correct answer would be 13 * x.</span>
Answer:
The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎
Step-by-step explanation:
For a reflection across the line y = -x, we have, (x, y) → (y, x)
Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x
The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)
Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'
Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎
Answer:
Step-by-step explanation:
Looking at the arithmetic sequence, the 4th term is 27 the 8th term is 53. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
Therefore, the 4th term, T4 will be
27 = a + (4 - 1) d
27 = a + 3d - - - - - - - - 1
The 8th term, t8 would be
53 = a +(8 - 1) d
53 = a + 7d - - - - - - - - -2
Subtracting equation 1 from equation 2, it becomes
- 26 = - 4d
d = - 26/- 4 = 6.5
Substituting d = 6.5 into equation 1, it becomes
53 = a + 7 × 6.5
53 = a + 45.5
a = 53 - 45.5 = 7.5
The missing terms are
7.5, 14, 20.5, 27, 33.5, 40, 46.5, 53
Answer:
(2x - 7)³ ≠ (2x)³- 7³
Step-by-step explanation:
(2x - 7)³= (2x)³- 7³
Use pascal's triangle to expand left side. Simplify all else.
(2x)³ + 3(2x)²(-7)¹ + 3(2x)¹(-7)² + (-7)³ = 8x³- 343
8x³ + 3(4x²)(-7) + 3(2x)(49) + (-7)³ = 8x³- 343
8x³ - 84x² + 294x - 343 = 8x³- 343
LS ≠ RS
Answer:
Step-by-step explanation:
Given:
The radius of a cylindrical gift box = 
The height of the gift box is three times the radius.
Question asked:
What is the surface area of the cylinder ?
Solution:
The height of the gift box is three times the radius means,
Now, surface area of the cylinder = 
\\=8\pi x+2\pi(16x+4)\\=8\pi x+32\pi x+8\pi\\=40\pi x+8\pi\\=8\pi(5x+1) \ Taking \ common](https://tex.z-dn.net/?f=%3D2%5Cpi%5B4x%2B1%5D%284x%2B1%2B12x%2B3%29%5C%5C%3D8%5Cpi%20x%2B2%5Cpi%2816x%2B4%29%5C%5C%3D8%5Cpi%20x%2B32%5Cpi%20x%2B8%5Cpi%5C%5C%3D40%5Cpi%20x%2B8%5Cpi%5C%5C%3D8%5Cpi%285x%2B1%29%20%5C%20Taking%20%5C%20common)
Therefore, surface area of the cylinder is .
