Simplify4x^3 • (x-2)/2(step by step please)
1 answer:
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Answer:
x = 7.5
Step-by-step explanation:
Dilation is a transformation in which the size of a given figure is either increased or decreased by a scale factor.
Given that the length of sides of the smaller triangle are; 5, 13, 12.
Given also that the length of the dilated triangle are; x, blank, 18.
Comparing the length of the last sides of the two triangles, we have;
(scale factor x 12) + 12
= ( x 12) + 12
= 6 + 12
= 18
Thus the scale factor for the dilation is . So that:
x = ( x 5) + 5
= 2.5 + 5
= 7.5
x = 7.5
And also,
blank = ( x 13) + 13
= 6.5 + 13
blank = 19.5
Therefore, the length of the sides of dilated triangle are: 7.5, 19.5, 18
Answer:
Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.
Step-by-step explanation:
Papaya rosette pieces on first day = 5890
Papaya rosette Pieces on second day = 7020
Papaya rosette Pieces of third day = 8150
Let
We can check if these numbers are part of a sequence.
In order to check, common difference will be found first.
It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.
The formula for arithmetic sequence is given by:
Putting the values
The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.
So,
Hence,
Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.
Answer:
u = ± 4
Step-by-step explanation:
Given
u² = 16 ( take the square root of both sides )
u = ± = ± 4
u = - 4, u = 4