Answer:
x = 40
Step-by-step explanation:
Given 2 secants to a circle from an external point, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
8(8 + x) = 12(12 + 20) ← distribute parenthesis on both sides
64 + 8x = 12 × 32 = 384 ( subtract 64 from both sides )
8x = 320 ( divide both sides by 8 )
x = 40
Solution:
1. Set up the long multiplication.
2. Calculate 7 x 8, which is 56.
Since 56 is two-digit, we carry the first digit 5 to the next column.
3. Calculate 6 x 8, which is 48. Now add the carry digit of 5, which is 53.
Since 53 is two-digit, we carry the first digit 5 to the next column.
4. Calculate 5 x 8, which is 40. Now add the carry digit of 5, which is 45.
Since 45 is two-digit, we carry the first digit 4 to the next column.
5. Calculate 4 x 8, which is 32. Now add the carry digit of 4, which is 36.
Since 36 is two-digit, we carry the first digit 3 to the next column.
6. Bring down the carry digit of 3.
7. Calculate 7 x 5, which is 35.
Since 35 is two-digit, we carry the first digit 3 to the next column.
8. Calculate 6 x 5, which is 30. Now add the carry digit of 3, which is 33.
Since 33 is two-digit, we carry the first digit 3 to the next column.
9. Calculate 5 x 5, which is 25. Now add the carry digit of 3, which is 28.
Since 28 is two-digit, we carry the first digit 2 to the next column.
10. Calculate 4 x 5, which is 20. Now add the carry digit of 2, which is 22.
Since 22 is two-digit, we carry the first digit 2 to the next column.
11. Bring down the carry digit of 2.
12. Calculate 7 x 2, which is 14.
Since 14 is two-digit, we carry the first digit 1 to the next column.
13. Calculate 6 x 2, which is 12. Now add the carry digit of 1, which is 13.
Since 13 is two-digit, we carry the first digit 1 to the next column.
14. Calculate 5 x 2, which is 10. Now add the carry digit of 1, which is 11.
Since 11 is two-digit, we carry the first digit 1 to the next column.
15. Calculate 4 x 2, which is 8. Now add the carry digit of 1, which is 9.
16. Calculate 7 x 3, which is 21.
Since 21 is two-digit, we carry the first digit 2 to the next column.
17. Calculate 6 x 3, which is 18. Now add the carry digit of 2, which is 20.
Since 20 is two-digit, we carry the first digit 2 to the next column.
18. Calculate 5 x 3, which is 15. Now add the carry digit of 2, which is 17.
Since 17 is two-digit, we carry the first digit 1 to the next column.
19. Calculate 4 x 3, which is 12. Now add the carry digit of 1, which is 13.
Since 13 is two-digit, we carry the first digit 1 to the next column.
20. Bring down the carry digit of 1.
21. Calculate 36536 + 228350 + 913400 + 13701000, which is 14879286
22. Place the decimal.
45.67 has 2 decimal places, and 32.58 has 2 decimal places.
Therefore, the answer should have 2 + 2 = 4 decimal places.
23. Therefore, 45.67 x 32.58 = 1487.9286.
1487.92861487.9286
Done!
Answer: 16 observations
Step-by-step explanation: add the number of dogs up
Answer: $5,60 will be taken off the price
Step-by-step explanation:
Take off = regular price·20/100
Take off = $28·20/100 = $560/100 = $5,60
Price after discount = $28 - $5.60 = $22.4
Answer: $5,60 will be taken off the price
<h2><em>Spymore</em></h2>
The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:
The vertex is given by:
In which:
In this problem, the function is given by:
y = 2x² + 25x + 3.
Hence the coefficients are a = 2, b = 25, c = 3, then the coordinates of the vertex are given as follows:
The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).
More can be learned about the quadratic functions at brainly.com/question/24737967
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