Answer:
- perfect square: 2, 5
- difference of squares: 1, 6
Step-by-step explanation:
If the two factors are identical, their product will be a perfect square.
If one of the factors is the difference of terms that are summed in the other factor, the product will be the difference of squares.
(a +b)(a -b) = a² -b² . . . . . matches the 1st and 6th choices
(a +b)(a +b) = (a +b)² . . . . matches the 2nd and 5th choices
Answer:
It's a valid sample because the first five people were selected to participate.
Step-by-step explanation:
True because random people who saw the advertisement responded. By chance, not every person who saw the advertisement answered, therefore it was random, but it would be more random if he decided to reject the second, fourth, sixth, and eighth person, and only the first, third, fifth, seventh, and ninth were chosen.
Using the slope concept, it is found that the distance from point A to point B is of 465 feet.
<h3>What is a slope?</h3>
The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
To find the horizontal position at point A, we have that:
tan(10º) = 107/dA
dA = 107/tan(10º)
dA = 607.
For the horizontal position at point B, we have that:
tan(37º) = 107/dB
dB = 107/tan(37º)
dB = 142.
Hence the distance is given by:
D = dA - dB = 607 - 142 = 465.
More can be learned about the slope concept at brainly.com/question/18090623
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Answer:
y = - x² - 4x - 9
Step-by-step explanation:
Given
y = - (x + 2)² - 5 ← expand (x + 2)² using FOIL
= - (x² + 4x + 4) - 5 ← distribute parenthesis by - 1
= - x² - 4x - 4 - 5 ← collect like terms
= - x² - 4x - 9 ← in standard form