Answer:
Part A) The area of the figure is 
Part B) The perimeter of the figure is 
Step-by-step explanation:
step 1
Find the area of the figure
we know that
The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD
The area of triangle is equal to
<u>Area of triangle ABD</u>
Observing the graph
substitute
<u>Area of triangle BCD</u>
Observing the graph
substitute
The area of the figure is
step 2
Find the perimeter of the figure
we know that
The perimeter of the figure is equal to
we have
the formula to calculate the distance between two points is equal to
Find the distance AB
Find the distance BC
Find the distance CD
Find the distance AD
substitute the values
Answer:
Step-by-step explanation:
Y=2x is linear (also proportional) since it involves only the first power of x
2x^2 is not linear, due to the second power of x (x^2); it is quadratic
Y = 1/x is not linear, due to x being in the denominator.
A - 1.2b = - 3 ⇒ eq. 1
0.2b + 0.6a = 12 ⇒ eq. 2
a - 1.2b = - 3
a = 1.2b - 3 ⇒ eq. 3
Substitute eq. 3 to eq. 2
0.2b + 0.6(1.2b - 3) = 12
0.2b + .72b - 1.8 = 12
Combine like terms
0.92b = 12 + 1.8
0.92b = 13.8 ⇒ divide both sides by 0.92 to get the value of b
<span>b = 15
</span>Substitute the value of b to eq. 3
a = 1.2b - 3
a = 1.2(15) - 3
<span>a = 15
</span>to check: substitute the values of a and b to:
eq. 1
a - 1.2b = - 3
15 - (1.2)(15) = -3
15 - 18 = - 3
- 3 = -3 ⇒ correct!
eq. 2
0.2b + 0.6a = 12
(0.2)(15) + (0.6)(15) = 12
3 + 9 = 12
12 = 12 ⇒ correct!
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