The product of two fractions is 2/7.
The product of two fractions is the product of the numerators and the product of the denominators.
Product of two fractions = Product of their numerators / Product of their denominators
The given expression is 3/5 × 10/21.
Now, (3×10)/(5×21)
= (1×2)/(1×7)
= 2/7
Therefore, the product of two fractions is 2/7.
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The solution is 10x² + 7x - 1
Step-by-step explanation:
(8x² + 10x - 10) - (-2x² + 3x - 9) = 8x² + 10x - 10 + 2x² - 3x + 9
= 10x² + 7x - 1
Step-by-step explanation:
The distance between each tree planted along the 2 kilometers and 50 meters road is 205 meters. This is achieved by dividing the length of the road (2050 meters) by the number of spaces between the trees (10).
To solve this problem, first, we need to understand that a kilometer is equal to 1000 meters. Therefore, 2 kilometers 50 meters is equal to 2050 meters. Given that the 11 trees are planted at an equal distance apart along the 2050 meter road, we would have to divide the total road length by the number of spaces between the trees. The number of spaces is always one less than the number of trees, so we have 11-1 = 10 spaces. Therefore, the distance between each tree is 2050 meters divided by 10, which equals to 205 meters.
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Answer:
12y +16yi
Step-by-step explanation:
The thing about complex numbers is that you can treat them as binomials and use all of the things you know about multiplying and factoring polynomials.
Here, we assume you have ...
(5 +2yi)(4 -3i) -(5 -2yi)(4 -3i)
The factor (4 -3i) can be factored out, so you have ...
= ((5 +2yi) -(5 -2yi))(4 -3i)
= (4yi)(4 -3i)
= 16yi -12yi²
At this point, the definition of i comes into play, and you replace i² with -1.
= 12y +16yi
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