Answer:
The vertex would be (-1, -5).
Step-by-step explanation:
In order to find this, first find the x-coordinate of the vertex. You can do this by calculating out -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.
-b/2a
-(-2)/2(-1)
2/-2
-1
So we know the x-coordinate to be -1. Now we plug that into the equation and find the y value.
-x^2 - 2x - 6
-(-1)^2 - 2(-1) - 6
-(1) + 2 - 6
-5
So there's 6 bottles and each bottle costs 3.60 but there's 4 cases.
So first multiply the number of bottles which is 6 with the cases which is 4.
6 x 4 = 24,so there's 24 bottles.Now multiply the price of the bottles time 24.
24 x 3.60 = 86.4.So the person that bought that will have to pay 86.4.Man those things are expensive.
Hope this helps :D
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but plz don't forget to thank me if it has really helped you...
Answer:
Step-by-step explanation:
45% = 45/100 = 0.45
- 0.45x = 18
- x = 18/0.45
- x = 40
100% is $40
Complete question is;
Andrea is given ABC and told that a² + b² = c². She draws right triangle RTS with legs measuring a and b and hypotenuse measuring 2. Which best describes what Andrea should
do in order to prove that ABC is a right triangle?
Answer:
Andrea should show that c = 2, so: ∡ABC = ∡RTS and ∡C = ∡S. Hence, ∡C is a right angled triangle, hence ΔABC is a right triangle
Step-by-step explanation:
In this question, we are told that the given sides of the triangle are a, b and c. Now, Andrea is able to draw the two sides of the right triangle with sides = a and b and the third, hypotenuse equal to 2. Since the length of the hypotenuse = 2, then we have;
2² = a² + b²
However, we are told that c² = a² + b²
Therefore, c = 2
Hence, Andrea should show that c = 2 so ΔABC = ΔRTS and ∡C = ∡S hence ∡C is a right angled triangle since it is the angle opposite to the hypotenuse c and therefore, ΔABC is a right triangle.