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3 years ago

Which determines this shape?

Mathematics

1 answer:

Darina [25.2K]3 years ago

8 0

Answer:

kite

Step-by-step explanation:

because of the say they are perpendicular

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A+B = 30. A:B is equivalent to 2:3. Find two whole numbers that satisfy the two conditions.

Valentin [98]

I think the 2 numbers would be 12 and 18. Hope this helps.

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3 years ago

All of the following expressions are equivalent except _____.

ziro4ka [17]

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3 years ago

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Sauron [17]

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3 years ago

Write a rule for the nth term of the sequence.

Helga [31]

Answer:

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

Step-by-step explanation:

Given sequence is:

-11, 5, 21, 37, 53, ...

Here

$a_1 = -11\\a_2 = 5\\a_3 = 21\\a_4 = 37$

First of all, we have to find if this is an arithmetic sequence

For that purpose, the common difference has to be found. Common difference, denoted by d, is the difference between consecutive terms of an arithmetic sequence

So,

$d = a_2 -a_1 = 5-(-11) = 5+11 = 16\\d = a_3 -a_2 = 21-5 = 16\\d = a_4-a_3 = 37-21 = 16$

As the common difference is same, the sequence is an arithmetic sequence

General rule for arithmetic sequence is:

$a_n = a_1+(n-1)d$

Putting values

$a_n = -11+(n-1)(16)\\a_n = -11+16n-16\\a_n = -27+16n$

For 100th term,

Putting n=100

$a_{100} = -27+16(100)\\a_{100} = -27+1600 = 1573$

Hence,

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

6 0

3 years ago

Indicate the equation of the given line in standard form, writing the answer below.

scZoUnD [109]

Answer: $y-\frac{11}{2}=6(x-2)$

Step-by-step explanation:

For it to bisect the segment, we need to find the midpoint.

The midpoint is $\left(\frac{-1+5}{2}, \frac{6+5}{2} \right)=\left(2, \frac{11}{2} \right)$ .

Now, for it to be perpendicular, we need to use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the given segment is $\frac{6-5}{-1-5}=-\frac{1}{6}$ , so the slope of the perpendicular bisector is 6.

Thus, the equation of the line in point-slope form is $\boxed{y-\frac{11}{2}=6(x-2)}$

4 0

2 years ago