Answer:
The rule for the linear function will be:
Step-by-step explanation:
We know that linear function can be represented using the slope-intercept formula
y = mx+b
where m is the slope and b is the y-intercept
Given the function is linear
Taking two points from the table to determine the slope
Using the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -2 and the point (1, 3)
adding 3 to both sides
or
Therefore, the rule for the linear function will be:
Answer:
Total surface area = 184.86 cm²
Step-by-step explanation:
If we see the the diagram, we can find that the net of this triangular prism includes:
2 triangles each with the dimension of one side 4.3cm, second side 5.2cm and third side 6.75 cm
3 rectangles each with the dimensions of (6.75×10)cm, (5.2×10)cm and (4.3×10)cm
Surface area of triangle with a,b and c side:
s=(a+b+c)/2
Area= √s(s−a)(s−b)(s−c)
Area = 11.18cm²
For 2 triangle:
Area = 22.36cm²
Surface Area of Rectangles:
Area = (6.75×10)cm + (5.2×10)cm + (4.3×10)cm
Area = 162.5 cm²
Total surface area = area of 2 triangle + area of 3 rectangles:
Total surface area = 22.36 + 162.5
Total surface area = 184.86 cm²
Answer:
142 degrees
Step-by-step explanation:
Your answer would turn out to be
D. 20+21i
