Ans(1):
Given equation is f(x)=-1.5x+6
we can plug any number like x=0 and x=2 to find the f(x) also called y-value
plug x=0
f(x)=-1.5x+6 =-1.5*0+6 =0+6 =6
Hence first point is (0,6)
plug x=2
f(x)=-1.5x+6 =-1.5*2+6 =-3+6 =3
Hence first point is (2,3)
now we can graph both points then join them to get final graph of f(x)=-1.5x+6
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Ans(2):
We can repeat exactly same process for f(x) = -1/2x-5.
So the final graph will look like attached picture:
Answer:
Total surface area of the prism = 920 cm²
Step-by-step explanation:
Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.
Area of one triangular side =
Area of 2 similar sides = Base × Height
= 8 × 15
= 120 cm²
Area of rectangular side with dimensions 17cm × 20cm
Area of the side = 17 × 20 = 340 cm²
Area of the second rectangular side with dimensions 8cm × 20cm
Area of the side = 8 × 20 = 160 cm²
Area of third rectangular side with dimensions 20cm × 15cm
Area of the side = 20 × 15 = 300 cm²
Total surface area of the given triangular prism = 120 + 340 + 160 + 300
= 920 cm²