Write the system of inequalities that matches the system show below.
1 answer:
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Answer:
209 cm²
Step-by-step explanation:
This composite figure consist of two figures.
(1) Rectangle with length = 11 cm and width = 16 cm.
(2) Triangle on the top of the rectangle with base = 11 cm and height = 6 cm.
Area of the rectangle = length × width
= 11 × 16
= 176 cm²
Area of the triangle =
=
= 33 cm²
Total area = 176 + 33
= 209 cm²
Step-by-step explanation:
We are given the co-ordinates,
x : -2, -1, 0, 1, 2
y : 8, 5, 2, -1, -4
According to the graph, we see that this function represents a straight line.
The general form of the straight line is y = mx + c, where m is the slope and c is the y-intercept.
So, taking any two points we will find the equation of the straight line.
Consider, (0,2) and (1, -1). Now, slope is given by,
m =
i.e. m = -3
Now, we will find the y-intercept of this equation using (0,2) and m = -3,
i.e. y = -3x + c
i.e. 2 = c
Hence, the equation of the straight line is y = -3x + 2.
