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Mama L [17]
3 years ago
10

What is the length of segment AC?

Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

Answer:

10 units

Step-by-step explanation:

To find the length we can use the formula

d = sqrt( (y2-y1)^2 + (x2-x1)^2)

We have the two points (-5,5) and (3,-1)

d = sqrt( (-1-5)^2 + (3--5)^2)

d = sqrt( (-6)^2 + (3+5)^2)

d = sqrt( (-6)^2 + (8)^2)

d = sqrt( 36 + 64)

d = sqrt(100)

d = 10

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What is the nth term of quadratic sequence 4 7 12 19 28
Anni [7]
We find the first differences between terms:
7-4=3; 12-7=5; 19-12=7; 28-19=9.
Since these are different, this is not linear.
We now find the second differences:
5-3=2; 7-5=2; 9-7=2. Then:

Since these are the same, this sequence is quadratic.
We use (1/2a)n², where a is the second difference:
(1/2*2)n²=1n².

We now use the term number of each term for n:
4 is the 1st term; 1*1²=1.
7 is the 2nd term; 1*2²=4.
12 is the 3rd term; 1*3²=9.
19 is the 4th term; 1*4²=16.
28 is the 5th term: 1*5²=25.

Now we find the difference between the actual terms of the sequence and the numbers we just found:

4-1=3; 7-4=3; 12-9=3; 19-16=3; 28-25=3.

Since this is constant, the sequence is in the form (1/2a)n²+d;
in our case, 1n²+d, and since d=3, 1n²+3.
The correct answer is n²+3
7 0
3 years ago
Given that f(x)=2x^3+x-3, evaluate the function f(-2). <br> A.) 11 <br> B.) -69 <br> C.) -21
prohojiy [21]
F(x)=2x³+x-3
f(-2)=2(-2)³+(-2)-3
f(-2)=2(-8)-2-3
f(-2)=-16-2-3
f(-2)=-18-3
f(-2)=-21. As a result,C is your final answer. Hope it help!
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3 years ago
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Answer:

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Step-by-step explanation:

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Elanso [62]

Answer:

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Step-by-step explanation:

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3 years ago
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djyliett [7]
8 percent. The answer to 4$is what percent of 50$ is 8%



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3 years ago
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