Answer:
f(x) > -x + 2
Step-by-step explanation:
First I found the equation of the line.
The y intercept is at 2 so I know to add 2 at the end
The slope is -1 since it is going downwards
Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than
Putting all that together, the equation is f(x) > -x + 2
Answer:
-2/7
Step-by-step explanation:
2x+7y=14
7y=-2x+14
divide by 7
y=-2/7 x+2
By the quadratic formula,
Then
Multiply numerator and denominator by the denominator's conjugate:
Answer:
For Part C) use numbers 1 2 3 4.
Step-by-step explanation:
Answer: area = 379.7 mm²
Perimeter = 95.84 mm
Step-by-step explanation:
The composite shape contains a semi circle and a trapezoid.
The area of a semi circle is
1/2 × πr²
Radius = diameter/2
Radius = 20/2 = 10 mm
Area = 1/2 × 3.14 × 10 = 15.7 mm²
Area of trapezoid is expressed as
1/2(a + b)h
Area = 1/2 × (20 + 32)14
Area = 1/2 × 52 × 14) = 364mm²
Area of the composite shape is
15.7 + 364 = 379.7 mm²
Formula for determining the perimeter of the semicircle is
1/2 × πd
Perimeter = 1/2 × 3.14 × 20 = 31.4mm
Looking at the attached photo, we would determine the slant height,h, by applying Pythagorean theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
h² = 12² + 14² = 340
h = √340/= 18.44
Perimeter of the composite shape is
31.4 + 14 + 32 + 18.44 =95.84 mm