Answer:
what do you need help with
Answer:
25
Step-by-step explanation:
2400 dived by 96 is 25
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
The first step is to find the slope using the provided coordinates (-2, 6) and (2, 14). We can do that using the y1 - y2 / x1 - x2, like so:
6 - 14 / -2 - 2
-8 / -4
2
The slope is two, so we immediately know the answer is either A or B.
Now, plot the two points on graphing paper and determine where the line intersects the y-axis to find the y-intercept...
My graph shows the line intersecting the y-axis at 10, therefore the correct answer is:
y = 2x + 10
Answer:
In polynomial function f(x) = 5x² + 2x³ + 4 the leading coefficient is 5.
The leading coefficient of a polynomial is the coefficient of the leading term 5x².
Step-by-step explanation:
Given:
Side length = 12 in
To find:
The area of the regular polygon.
Solution:
Number of sides (n) = 6
Let us find the apothem using formula:
![$a=\frac{s}{2 \tan \left(\frac{180^\circ}{n}\right)}](https://tex.z-dn.net/?f=%24a%3D%5Cfrac%7Bs%7D%7B2%20%5Ctan%20%5Cleft%28%5Cfrac%7B180%5E%5Ccirc%7D%7Bn%7D%5Cright%29%7D)
where s is side length and n is number of sides.
![$a=\frac{12}{2 \tan \left(\frac{180^\circ}{6}\right)}](https://tex.z-dn.net/?f=%24a%3D%5Cfrac%7B12%7D%7B2%20%5Ctan%20%5Cleft%28%5Cfrac%7B180%5E%5Ccirc%7D%7B6%7D%5Cright%29%7D)
![$a=\frac{6}{ \tan (30^\circ)}](https://tex.z-dn.net/?f=%24a%3D%5Cfrac%7B6%7D%7B%20%5Ctan%20%2830%5E%5Ccirc%29%7D)
![$a=\frac{6}{ \frac{1}{\sqrt{3} }}](https://tex.z-dn.net/?f=%24a%3D%5Cfrac%7B6%7D%7B%20%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%20%7D%7D)
![$a=6\sqrt{3}](https://tex.z-dn.net/?f=%24a%3D6%5Csqrt%7B3%7D)
Area of the regular polygon:
![$A=\frac{1}{2}(\text { Perimeter })(\text { apothem })$](https://tex.z-dn.net/?f=%24A%3D%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%20%7B%20Perimeter%20%7D%29%28%5Ctext%20%7B%20apothem%20%7D%29%24)
![$A=\frac{1}{2}(6 \times 12)(6\sqrt{3} )](https://tex.z-dn.net/?f=%24A%3D%5Cfrac%7B1%7D%7B2%7D%286%20%5Ctimes%2012%29%286%5Csqrt%7B3%7D%20%29)
![$A=\frac{1}{2}(72)(6\sqrt{3} )](https://tex.z-dn.net/?f=%24A%3D%5Cfrac%7B1%7D%7B2%7D%2872%29%286%5Csqrt%7B3%7D%20%29)
![A=216 \sqrt{3}](https://tex.z-dn.net/?f=A%3D216%20%5Csqrt%7B3%7D)
in²
The area of the regular polygon is 374.1 in².