Answer:
The correct option is 3.
Step-by-step explanation:
From the given graph it is noticed that the related line passing through the point (-3,1) and (0,3).
If a line passing through two points, then the equation of line is
![y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
The equation of related line is
![y-1=\frac{3-1}{0-(-3)}(x-(-3))](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B3-1%7D%7B0-%28-3%29%7D%28x-%28-3%29%29)
![y-1=\frac{2}{3}(x+3)](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B2%7D%7B3%7D%28x%2B3%29)
![y-1=\frac{2}{3}(x)+2](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B2%7D%7B3%7D%28x%29%2B2)
Add 1 on both the sides.
![y=\frac{2}{3}(x)+2+1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7D%28x%29%2B2%2B1)
![y=\frac{2}{3}(x)+3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7D%28x%29%2B3)
The equation of related line is
.
The related line is a dotted line, it means the point on the line does not included in the solution set.
The shaded region is above the line so the sign of inequity is >.
The required inequality is
![y>\frac{2}{3}(x)+3](https://tex.z-dn.net/?f=y%3E%5Cfrac%7B2%7D%7B3%7D%28x%29%2B3)
Therefore option 3 is correct.
Answer:
Area: 60
Step-by-step explanation:
1. Multiply the base and the height which are 12 cm and 10 cm.
2. The multiply that product by 1/2 or you can divide it by 2 to get the area of the triangle.
Answer:
5 – 6x = 8x + 17
⇔ 5 - 17 = 8x + 6x
⇔ -12 = 14x
⇔ x = -6/7
Step-by-step explanation:
7/10 of 80 is 56
4/5 of 80 is 64
3/4 of 80 is 60
5/8 of 80 is 50
1/2 of 80 is 40
1/4 of 80 is 20
1/10 of 80 is 8
1/8 of 80 is 10
to work these out divide the number by the denominator (bottom number) and multiply by the numerator (top number)
Answer:
Either,
, -0.75, or 4x = -3!
Step-by-step explanation: