Answer:
![\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}](https://tex.z-dn.net/?f=%5Cleft%28h%2C%5C%3Ak%5Cright%29%3D%5Cleft%28-%5Cfrac%7B3%7D%7B2%7D%2C%5C%3A%5Cfrac%7B9%7D%7B4%7D%5Cright%29%2C%5C%3Ap%3D-%5Cfrac%7B1%7D%7B4%7D)
Step-by-step explanation:
![x^2+3x+y=0](https://tex.z-dn.net/?f=x%5E2%2B3x%2By%3D0)
![4\left\bigg(-\frac{1}{4}\right)\left\bigg(y-\frac{9}{4}\right)=\left\bigg(x-\left\bigg(-\frac{3}{2}\right)\right)^2](https://tex.z-dn.net/?f=4%5Cleft%5Cbigg%28-%5Cfrac%7B1%7D%7B4%7D%5Cright%29%5Cleft%5Cbigg%28y-%5Cfrac%7B9%7D%7B4%7D%5Cright%29%3D%5Cleft%5Cbigg%28x-%5Cleft%5Cbigg%28-%5Cfrac%7B3%7D%7B2%7D%5Cright%29%5Cright%29%5E2)
![\bold{\mathrm{Therefore\:parabola\:properties\:are:}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cmathrm%7BTherefore%5C%3Aparabola%5C%3Aproperties%5C%3Aare%3A%7D%7D)
![\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}](https://tex.z-dn.net/?f=%5Cleft%28h%2C%5C%3Ak%5Cright%29%3D%5Cleft%28-%5Cfrac%7B3%7D%7B2%7D%2C%5C%3A%5Cfrac%7B9%7D%7B4%7D%5Cright%29%2C%5C%3Ap%3D-%5Cfrac%7B1%7D%7B4%7D)
Answer:
2/9
Step-by-step explanation:
2/9 is bigger that 2/2
Answer:
4x ≤ 30
Step-by-step explanation:
Omar gets 30 dollars off because $25 + $5 = 30. Let x = pairs of socks
We know each pair costs $4, so the cost would be 4x. Omar has to buy as many pairs as he can with only the coupon and gift card. Omar has to spend $30 (the full discount) or less than $30. Therefore, the inequality would be: 4x ≤ 30 or 4x is less than or equal to 30 ($30).
Answer:
48 Square Centimeters
Step-by-step explanation:
The red triangular exterior pieces are all equilateral triangles with some side length.
We don't need to know what that side length is. It doesn't matter.
The area of one red equilateral triangle is some area A.
There are 6 of these red triangles, so the red exterior triangular parts combine to a total area of 6*A.
The hexagon is composed of equilateral triangles as well.
Each of these blue equilateral triangles is congruent to any outer red triangle because the side length is the same.
Therefore, the 6 blue equilateral triangles composing this hexagon combine to get a total area of 6*A
The area of the star overall is 12*A because we have 6 blue triangles combining with the 6 red triangles.
There is a total of 12 triangles.
Answer:
80°
Step-by-step explanation:
The sum of the interior angles in a hexagon is 720°. This means that:
y + (2y - 20) + (2y - 20) + y + (2y - 20) + (2y - 20) = 720° - we can simplify this
10y - 80 = 720° - now, add 80 to both sides
10y = 800 - finally, divide both sides by 10
y = 800 ÷ 8 = 80°
Hope this helps!