Answer:
Step-by-step explanation:
Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola.
The vertex of a parabola is the point at the top or bottom of the parabola.
'h' is -6, the first coordinate in the vertex.
'k' is -4, the second coordinate in the vertex.
'x' is -2, the first coordinate in the other point.
Answer:
230cm²
Step-by-step explanation:
The shape can be split into two shapes horizontally: a triangle and a rectangle.
<u>Area of the rectangle</u>
The area of a rectangle = length × width
In this case, the length is 20cm and the width is 7cm. 20 × 7 = 140cm²
<u>Area of the triangle</u>
The area of a triangle = 1/2 × base × height
In this case, the base is 20cm and the height is 9cm (16cm - 7cm). 1/2 × 20 × 9 = 90cm²
<u>Area of the shape</u>
To find the area of the total shape, we can add 140cm² and 90cm² to get 230cm².
Hope this helps!
Replace y with 0 and you get x = -5.511, and x = 5.511, since time has to be positive, it takes approximately 5.51 seconds for the stone to hit the ground.
Answer: perpendicular lines intercept, parallel lines never touch and line up in the same direction
Step-by-step explanation:
Answer:
n=9
Step-by-step explanation:
21/35 has a gcf of 7. so reduce to 3/5
move 3/5 to the left side to get
n/15=-3/5=0
solve as a linear equation.
n/15=-3/5=0 is equivalent to .67*n-0.6=0
which is equal to n=-9
