Factor the perfect square trinomialsa2+20a+100

Mathematics

1 answer:

sukhopar [10]3 years ago

6 0

Answer:

-10

Step-by-step explanation:

$a^{2} +(10+10)a+100$

$a^{2} +10a+10a+100$

$a(a+10)+10(a+10)$

$(a+10)(a+10)$

so,a=-10

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which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l

victus00 [196]

One equation for this would be

$y = \frac{41}{16} x-\frac{55}{8}$

We start by finding the slope between the two points:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
\\
\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
\\
\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}$

A line parallel to this one will have the same slope. We will use point-slope form to write our equation:

$y-y_1=m(x-x_1)
\\
\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
\\
\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
\\
\\y+\frac{19}{5}=\frac{41}{16}x-\frac{246}{80}
\\
\\y+\frac{304}{80}=\frac{41}{16}x-\frac{246}{80}
\\
\\y=\frac{41}{16}x-\frac{246}{80}-\frac{304}{80}
\\
\\y=\frac{41}{16}x-\frac{550}{80}
\\
\\y=\frac{41}{16}x-\frac{55}{8}$

6 0

3 years ago

a jar contains 36 marbles. it has 20 red, 12 black, and 4 green marbles. two marbles are drawn; the first is not returned before

Igoryamba

P(red) first drawn:
20/36=5/9
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19/35

95/315 or 19/63. As a result, the probability that both marbles are red is 19/63. Hope it help!

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3 years ago

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Pam typed 2.5 pages in = 15 minutes
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3 0

3 years ago

Read 2 more answers

Suppose f(7) = 5, f'(7) = 8, g(7) = 3, and g'(7) = 4. Find h(7) and h'(7), where h(x ) = 4f (x) + 3g(x).

dusya [7]

Answer:

h(7) = 29

h'(7) = 44

Step-by-step explanation:

If $h(x) =4f(x)+3g(x)$ , to find h(7) we can substitute the values of f(7) and g(7) and we get: