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Nonamiya [84]
3 years ago
13

A regular octagon has what type of symmetry?

Mathematics
2 answers:
larisa [96]3 years ago
7 0

Answer:

It has 8 lines of symmetry.

Step-by-step explanation:

tatiyna3 years ago
5 0
Rotational symmetry
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Help with 5b please . thank you.​
Allushta [10]

Answer:

See explanation

Step-by-step explanation:

We are given f(x)=ln(1+x)-x+(1/2)x^2.

We are first ask to differentiate this.

We will need chain rule for first term and power rule for all three terms.

f'(x)=(1+x)'/(1+x)-(1)+(1/2)×2x

f'(x)=(0+1)/(1+x)-(1)+x

f'(x)=1/(1+x)-(1)+x

We are then ask to prove if x is positive then f is positive.

I'm thinking they want us to use the derivative part in our answer.

Let's look at the critical numbers.

f' is undefined at x=-1 and it also makes f undefined.

Let's see if we can find when expression is 0.

1/(1+x)-(1)+x=0

Find common denominator:

1/(1+x)-(1+x)/(1+x)+x(1+x)/(1+x)=0

(1-1-x+x+x^2)/(1+x)=0

A fraction can only be zero when it's numerator is.

Simplify numerator equal 0:

x^2=0

This happens at x=0.

This means the expression,f, is increasing or decreasing after x=0. Let's found out what's happening there. f'(1)=1/(1+1)-(1)+1=1/2 which means after x=0, f is increasing since f'>0 after x=0.

So we should see increasing values of f when we up the value for x after 0.

Plugging in 0 gives: f(0)=ln(1+0)-0+(1/2)0^2=0.

So any value f, after this x=0, should be higher than 0 since f(0)=0 and f' told us f in increasing after x equals 0.

8 0
2 years ago
20 points!!<br><br> What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?
GarryVolchara [31]

Answer:

3, 8, 13, 18

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Explain why the graph of a linear equation in the form of y=c is a horizontal line
xeze [42]
Let's say "c" is a constant, hmmmm any constant, for any value whatsoever of "x", "y" is always that constant, for example, say c = 3, thus y = 3, so a table for it will look like 

\bf \begin{array}{ccll}&#10;x&y\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;-\infty&3\\&#10;-6&3\\&#10;-5&3\\&#10;-4&3\\&#10;-3&3\\&#10;-2&3\\&#10;-1&3\\&#10;0&3\\&#10;1&3\\&#10;2&3\\&#10;3&3\\&#10;4&3\\&#10;5&3\\&#10;6&3\\&#10;+\infty&3&#10;\end{array}

now, if you plot those points, it'd looks like the picture below.

4 0
2 years ago
Can you help me in this plz ​
Kipish [7]

Answer:

£ 38,110

Step-by-step explanation:

We need to find salary for 1 year (12 months).

  • Monthly Salary = 1410, so yearly would be:

1410 * 12 = 16,920

  • 26% of total profit. Let's find the profit first:

Profit is Income - Cost

So, that would be (from table):

Profit = 549000 - 473500 = 75,500

26% of that would be:

26/100 = 0.26

0.26 * 75,500 = 19,630

  • 390 bonus for each month she sells atleast 16 cars

Out of 12 months (1 year), she sold at least 16 cars in 4 months, so she gets bonus of 390 for those 4 months, that would make:

390 * 4 = 1560

Total Pay for the year would be summation of all these:

Total Pay = 16,920 + 19,630 + 1560 = £ 38,110

5 0
3 years ago
Which equation is equivalent to the formula below? <br> Y = A ( X - H) ^2 + K
frozen [14]

Answer:

<em>B. a = y - k/(x-h)² </em>

Step-by-step explanation:

Given the expression y = a (x-h)² + k

First make  a the subject of the formula

Subtract k from both sides

y = a (x-h)² + k

y- k = a (x-h)² + k - k

y - k = a (x-h)²

Divide through by (x-h)²

y - k/(x-h)²  = a

a = y - k/(x-h)²

Hence option B is correct

6 0
2 years ago
Read 2 more answers
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