Scale factor is given by:
(length of larger figure)/(length of smaller figure)=(width of larger figure)/(width of the smaller figure)=3.4
The length of the larger figure will be given by:
length=(scale factor)*(length of smaller figure)
=3.4*6=20.4 cm
width of the larger figure will be given by:
width=(scale factor)*(width of smaller figure)
=3.4*4.5
=15.3 cm
Therefore the dimension of the new parallelogram will be 20.4 cm by 15.3 cm
37 + x = 2(14 + x)
Explanation:
subtract both sides by 28
9 + x = 2x
subtract both sides by x
9 = x
If you let x represent the width of the rectangle, then you can write the equation for area as
.. x(2x +5) -63 = 0
This has positive solution x=4.5.
The rectangle is 4.5 meters by 14 meters.
Answer:
(8x - 5y)(8x + 5y)
Step-by-step explanation:
To factor the expression, use the difference of squares pattern. A difference of squares is subtraction between two perfect squares and factors as a² - b² = (a-b)(a+b).
The expression has the perfect squares 64x² and 25y². Take the square root of each. The factors become (8x - 5y)(8x + 5y).
Answer:
g(n) = 2n + 49
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
g(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given the recursive formula
g(n) = g(n - 1) + 2 ← with d = 2 and a₁ = 51, then
g(n) = 51 + 2(n - 1) = 51 + 2n - 2 = 2n + 49 ← explicit formula
