Quadrant II, because the slope is positive and the y intercept is negative
0.9
3.32/1.66+18.4 is 20.4
3.32 rounds down to 3
1.66 rounds up to 2
18.4 rounds down to 18
3/2+18 is 19.5
Since they want a positive difference the bigger number goes first
20.4-19.5=0.9
Answer:
(f - g)(x) = -x² + 3x + 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Function Notation
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x + 5
g(x) = x²
(f - g)(x) is f(x) - g(x)
<u>Step 2: Find (f - g)(x)</u>
- Substitute: (f - g)(x) = 3x + 5 - x²
- Rewrite: (f - g)(x) = -x² + 3x + 5
Hey!
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Point Slope Form: y - y1 = m(x - x1)
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Answer: y + 8 = -4(x - 2)
The reason why I put y + 8 is because when you subtract a negative number it changes to adding a positive number. (- -8 ---> + 8)
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Hope This Helped! Good Luck!
Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points =
Distance between A(0, -3) and C(2, 8),
AC =
=
=
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD =
=
=
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.