Here's the solution,
The given figure is of a parallelogram,
and we know that opposite sides of a parallelogram are equal, so
=》
![y + 19 = 2y](https://tex.z-dn.net/?f=y%20%2B%2019%20%3D%202y)
=》
![19 = 2y - y](https://tex.z-dn.net/?f=19%20%3D%202y%20-%20y)
=》
![y = 19](https://tex.z-dn.net/?f=y%20%3D%2019)
and,
=》
![2x - 8 = x + 16](https://tex.z-dn.net/?f=2x%20-%208%20%3D%20x%20%2B%2016)
=》
![2x - x = 16 + 8](https://tex.z-dn.net/?f=2x%20-%20x%20%3D%2016%20%2B%208)
=》
![x = 24](https://tex.z-dn.net/?f=x%20%3D%2024)
hence, the values are :
x = 24
y = 19
Answer: 33 tulips bloomed / 66 tulips did not bloom
Step-by-step explanation:
<h2>Given:</h2>
Total number of tulips = 99
Total number of tulips bloomed = 3/9 of total
<h2>Solve:</h2>
Step One: Find the number of tulips that bloomed
99 × (3/9) = 99 × (1/3) = 33 tulips
Step Two: Find the number of tulips that did not bloom
99 - 33 = 66 tulips
Hope this helps!! :)
Please let me know if you have any questions
Answer:
64
Step-by-step explanation:
the expression is
x² - 16x + _
the constant term is the square of the number residing with x divided by 2
the number number x = 16
therefore the constant term is (16/ 2)²
= 8²
= 64
the formula being used here is
(x + a)² = x² + 2ax + a²
Distribute +1
78=1/2x+x-6
combine like terms
1=(2/2)
(1/2)+(2/2)= 3/2
78=3/2x-6
Add 6 to both sides
84=3/2x
Divide by (3/2)
x=$56=adult ticket
Child ticket = x-6=56-6=$50
$50
First,
We are dealing with parabola since the equation has a form of,
![y=ax^2+bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bbx%2Bc)
Here the vertex of an up - down facing parabola has a form of,
![x_v=-\dfrac{b}{2a}](https://tex.z-dn.net/?f=x_v%3D-%5Cdfrac%7Bb%7D%7B2a%7D)
The parameters we have are,
![a=-5,b=-10, c=6](https://tex.z-dn.net/?f=a%3D-5%2Cb%3D-10%2C%20c%3D6)
Plug them in vertex formula,
![x_v=-\dfrac{-10}{2(-5)}=-1](https://tex.z-dn.net/?f=x_v%3D-%5Cdfrac%7B-10%7D%7B2%28-5%29%7D%3D-1)
Plug in the
into the equation,
![y_v=-5(-1)^2-10(-1)+6=11](https://tex.z-dn.net/?f=y_v%3D-5%28-1%29%5E2-10%28-1%29%2B6%3D11)
We now got a point parabola vertex with coordinates,
![(x_v, y_v)\Longrightarrow(-1,11)](https://tex.z-dn.net/?f=%28x_v%2C%20y_v%29%5CLongrightarrow%28-1%2C11%29)
From here we emerge two rules:
- If
then vertex is max value - If
then vertex is min value
So our vertex is minimum value since,
![a=-5\Longleftrightarrow a](https://tex.z-dn.net/?f=a%3D-5%5CLongleftrightarrow%20a%3C0)
Hope this helps.
r3t40