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4 years ago

PLEASE HELP IN LESS THAN 10 MINUTES!!! PLEASE! I WILL GIVE BRAINLIEST!!!!!!!!

Mathematics

1 answer:

tensa zangetsu [6.8K]4 years ago

6 0

1. 4)
2. 1)
3. 4)
4. 2)
5. 3)

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The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s = 180(n – 2), where n is the numb

disa [49]

Answer:

Equivalent equation of $s =180(n-2)$ is $n =\frac{s}{180}+2$

And the number of sides does a polygon have is, n =9.

Step-by-step explanation:

Given:

The sum of the interior angles, 's' in a n-sided polygon can be determined

using the formula is: $s =180(n-2)$ .....[1]

where n is the number of sides.

We can write the equivalent equation of [1]

$s = 180(n-2)$

Divide both sides by 180;

$\frac{s}{180} =\frac{180(n-2)}{180}$

Simplify:

$\frac{s}{180}=n-2$

Add 2 to both sides of an equation:

$\frac{s}{180}+2=n-2+2$

Simplify, we get;

$n =\frac{s}{180}+2$ ......[2]

Now, to find the value of n ;

Given: s =1260°

Substitute this value in [2] we get;

$n =\frac{1260}{180}+2$

n = 7+2 =9

Therefore, the number of sides in a polygon is, n=9

6 0

3 years ago

Read 2 more answers

Rewrite as y−k=a(x−h)2 or x−h=a(y−k)2. Find the vertex, focus, and directrix.<br> y−3=(2−x)^2

Talja [164]

Given:

The given equation is

$y-3=(2-x)^2$

To find:

The vertex, focus, and directrix.

Solution:

The equation of a parabola is

$y-k=a(x-h)^2$ ...(i)

where, (h,k) is vertex, $\left(h,k+\dfrac{1}{4a}\right)$ and directrix is $y=k-\dfrac{1}{4a}$

We have,

$y-3=(2-x)^2$

It can be written as

$y-3=(-(x-2))^2$

$y-3=(x-2)^2$ ...(ii)

On comparing (i) and (ii), we get

$h=2,k=3,a=1$

Vertex of the parabola is (2,3).

$Focus=\left(2,3+\dfrac{1}{4(1)}\right)$

$Focus=\left(2,3+\dfrac{1}{4}\right)$

$Focus=\left(2,\dfrac{13}{4}\right)$

Therefore, the focus of the parabola is $\left(2,\dfrac{13}{4}\right)$ .

Directrix of the parabola is

$y=3-\dfrac{1}{4(1)}$

$y=3-\dfrac{1}{4}$

$y=\dfrac{11}{4}$

Therefore, the directrix of the parabola is $y=\dfrac{11}{4}$ .

4 0

3 years ago

Answer this question

Natalija [7]

Answer:

1,36 2,18 3,12 4,9 and 6,6

Step-by-step explanation:

If you multiply them, they equal 36

5 0

3 years ago

2(x + 5) + 2x - 7 simplify

shusha [124]

Answer:

I got 4x + 3 for my answer.

Step-by-step explanation:

I distributed the 2 into the parenthasis. Then, combined like terms.

8 0

3 years ago

Read 2 more answers

GUYS HELP please i dont know what to answer

grandymaker [24]

Answer:

2nd one : y = -4/x

3rd one : y + x/2 = 9

4th one

5th one : y = x^2

6th : 5.8x - y = 2.3

Step-by-step explanation:

Not sure about these. You might want to wait for another person to answer

Have a nice day!

7 0

3 years ago