Answer:
There are 30 blue berries
Step-by-step explanation:
1:7
_:210
210/7
30
Answer:
That is false.
The sum of any two sides in a triangle must be greater than the length of the third side.
We can see that: 7+9 = 16, and 16 is not greater than 18.
So, this is not a triangle.
Let me know if this helps!
Answer:
(1.8, -2.6) and (-1, 3)
Step-by-step explanation:
![2x+y=1](https://tex.z-dn.net/?f=2x%2By%3D1)
![x^2+y^2=10](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3D10)
From the first equation
![y=1-2x](https://tex.z-dn.net/?f=y%3D1-2x)
Applying to the second equation
![x^2+(1-2x)^2=10\\\Rightarrow x^2+1+4x^2-4x=10\\\Rightarrow 5x^2-4x-8=0](https://tex.z-dn.net/?f=x%5E2%2B%281-2x%29%5E2%3D10%5C%5C%5CRightarrow%20x%5E2%2B1%2B4x%5E2-4x%3D10%5C%5C%5CRightarrow%205x%5E2-4x-8%3D0)
Solving the equation we get
![x=\frac{-\left(-4\right)+\sqrt{\left(-4\right)^2-4\cdot \:5\left(-9\right)}}{2\cdot \:5}, \frac{-\left(-4\right)-\sqrt{\left(-4\right)^2-4\cdot \:5\left(-9\right)}}{2\cdot \:5}\\\Rightarrow x=1.8, -1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%5Cleft%28-4%5Cright%29%2B%5Csqrt%7B%5Cleft%28-4%5Cright%29%5E2-4%5Ccdot%20%5C%3A5%5Cleft%28-9%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A5%7D%2C%20%5Cfrac%7B-%5Cleft%28-4%5Cright%29-%5Csqrt%7B%5Cleft%28-4%5Cright%29%5E2-4%5Ccdot%20%5C%3A5%5Cleft%28-9%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A5%7D%5C%5C%5CRightarrow%20x%3D1.8%2C%20-1)
At x = 1.8
Applying in first equation
![2\times 1.8+y=1\\\Rightarrow y=1-3.6\\\Rightarrow y=-2.6](https://tex.z-dn.net/?f=2%5Ctimes%201.8%2By%3D1%5C%5C%5CRightarrow%20y%3D1-3.6%5C%5C%5CRightarrow%20y%3D-2.6)
At x = -1
Applying in first equation
![2\times -1+y=1\\\Rightarrow y=1+2\\\Rightarrow y=3](https://tex.z-dn.net/?f=2%5Ctimes%20-1%2By%3D1%5C%5C%5CRightarrow%20y%3D1%2B2%5C%5C%5CRightarrow%20y%3D3)
∴ The circle and line intersect at points (1.8, -2.6) and (-1, 3)
Volume = area * height
330 in^3 = area * 3 in
(330 in^3)/(3 in) = area = 110 in^2
A line plot is a graph that shows frequency of data along the line