Answer: 2x² + 1
<u>Explanation:</u>
<u> 2x² + 0x + 1 </u>
3x + 2 ) 6x³ + 4x² + 3x + 2
- <u>(6x³ + 4x²</u>) ↓ ↓
3x + 2
- <u>(3x + 2)</u>
0
<h3>
Answer: 16 square units</h3>
Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5
a^2 + b^2 = c^2
3^2 + x^2 = 5^2
9 + x^2 = 25
x^2 = 25-9
x^2 = 16
x = sqrt(16)
x = 4
This is a 3-4-5 right triangle.
The height of the parallelogram is 4 units.
We have enough info to find the area of the parallelogram
Area of parallelogram = base*height
Area of parallelogram = 4*4
Area of parallelogram = 16 square units
Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.
So 20x68 is 1360 so 3,619 -1,360 is 2,259 so 2,259 more people will be able to fit inside of the auditorium-hope this helped you
Answer:
there could be 9 different outcomes at the end of the game
Step-by-step explanation:
We have y=2x and y=x+2
They both equal y, so substitute the first equation for y in the second equation.
2x=x+2
Let’s get x to one side. Let’s subtract x from both sides.
X=2
Since x=2, just plug in 2 for x.
2+2=4
So,
X=2
Y=4
