Answer:
43
Step-by-step explanation:
Using the remainder theorem, that is
The remainder on dividing f(x) by (x - h) is the value of f(h)
here division by (x - 3) hence evaluate f(3) for remainder
f(3) = 3² + 14(3) - 8 = 9 + 42 - 8 = 43 ← remainder
Answer:
1.)-8
2.)-5
3.)4
Step-by-step explanation:
So, the function f(x)=3x-5
The questions say "If you were to substitute these numbers what answer would you get?"
Understanding this,
First question is with x=-1
f(-1)=3(-1)-5
f(-1)=-3-5=-8
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f(0)=3(0)-5
f(0)=0-5=-5
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f(3)=3(3)-5
f(3)=9-5=4
<h3>Right circular cone</h3>
Solve for volume
V≈37.7
r Radius
h Height
<h3>V=πr2h</h3>
Start at (-3,9). The increase in x from this point to the midpoint (3,3) is 6. Add 6 to the x-coordinate of (3,3), obtaining 9, which is the x-coordinate of the other endpoint of the line segment.
Next, notice that y decreases by 6 from 9 to 3 as we travel from (-3,9) to (3,3). Decrease y again by 6: 3 less 6 is -3. So the y-coordinate of the other endpoint is -3.
Thus, the coordinates of the other endpoint are (9, -3).
Let's check whether this is correct or not. According to the midpoint formula, e find the x-coordinate of the midpoint by summing up the endpoint x values and dividing this sum by 2: (-3+9)/2 = 3. This agrees with the given midpoint (3,3).
