Answer:
-6.
Step-by-step explanation:
Difference coefficient
= -6(x + h) + 3 - (-6x + 3) / h
= -6x - 6h + 3 + 6x - 3 / h
= -6h / h
= -6.
For a shape to be a square all the angles need to be 90 degrees.
Angle B = 3x+60 = 90
3x +60 = 90
Subtract 60 from each side:
3x = 30
Divide both sides by 3:
x = 30 /3
X = 10
Answer: 2:1
Step-by-step explanation:
The ratio of A to B is given by :
or A : B .
Given : sundaes with nuts = 4
sundaes without nuts = 8
The ratio of the number of sundaes with nuts to the number of sundaes without nuts = ![\dfrac{8}{4}=\dfrac{2}{1}\ \ \ [\text{Divide numerator and denominator by 4 }]](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B4%7D%3D%5Cdfrac%7B2%7D%7B1%7D%5C%20%5C%20%5C%20%5B%5Ctext%7BDivide%20numerator%20and%20denominator%20by%204%20%7D%5D)
= 2:1
hence, the required ratio = 2:1 .
Answer:
4 meters
Step-by-step explanation:
Given a quadratic equation in which the coefficient of
is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.
Since the divers height, y is modeled by the equation

Step 1: Determine the equation of symmetry
In the equation above, a=-1, b=2, c=3
Equation of symmetry, 

Step 2: Find the value of y at the point of symmetry
That is, we substitute x obtained above into the y and solve.

The maximum height of the diver is therefore 4 meters.