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goblinko [34]
3 years ago
5

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
P(red) second drawn:
19/35

95/315 or 19/63. As a result, the probability that both marbles are red is 19/63. Hope it help!
7 0
3 years ago
Pam typed 2.5 pages in 15 minutes. At that rate, how many minutes will it take her to type 23 pages?
NeX [460]
In the given question, it is already mentioned that Pam takes 15 minutes to type 2.5 pages. this information should be used as the main information for reaching the desired answer.
Pam typed 2.5 pages in = 15 minutes
Then time taken by Pam to type 23 pages = (15/2.5) * 23
                                                                     = 345/2.5
                                                                     = 3450/25
                                                                    = 138
So Pam will take 138 minutes to type 23 pages
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:

h(7)=4f(7)+3g(7)\\h(7)=4(5)+3(3)\\h(7)=20+9\\h(7)=29

To find the derivative, we know that the derivative of a sum of functions equals the sum of the derivatives of those functions.

This would mean that h'(x)=4f'(x)+3g'(x), we can substitute the values for f'(7) and g'(7)

h'(7)=4f'(7)+3g'(7)\\h'(7)=4(8)+3(4)\\h'(7)=32+12\\h'(7)=44

7 0
3 years ago
Researchers are interested in the relationship between socio-economic class and unethical behavior in US adults. Therefore, 129
Sloan [31]

Answer:

Step-by-step explanation:

1)Population of Interest : All UC Berkeley Undergraduates

Sample : 129 UC Berkeley Undergraduates

2)

Can the results of the study be generalized to the population of interest?

No, because the sample is not representative of the population since it consists of only UC Berkeley undergraduates.

3)

No, because the the study is observational.

4 0
3 years ago
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