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kumpel [21]
3 years ago
12

Hugo is writing a coordinate proof to show that the midpoints of a quadrilateral are the vertices of a parallelogram. He starts

by assigning coordinates to the vertices of quadrilateral RSTV and labeling the midpoints of the sides of the quadrilateral as A, B, C, and D. Quadrilateral R S T V in a coordinate plane with vertex R at 0 comma 0, vertex S in the first quadrant at 2 a comma 2b, vertex T also in the first quadrant at 2 c comma 2 d, and vertex V on the positive side of the x-axis at 2 c comma 0. Point A is between points R and S, point B is between points S and T, point C is between points T and V, and point D is between points R and V. Enter the answers, in simplified form, in the boxes to complete the proof. The coordinates of point A are ( , ). The coordinates of point B are ( , ). The coordinates of point C are (2c, d) . The coordinates of point D are (c, 0) . The slope of both AB¯¯¯¯¯ and DC¯¯¯¯¯ is . The slope of both AD¯¯¯¯¯ and BC¯¯¯¯¯ is −bc−a . Because both pairs of opposite sides are parallel, quadrilateral ABCD is a parallelogram.

Mathematics
1 answer:
lesantik [10]3 years ago
8 0

Answer: Heres the answers!

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Which of the following best describes the relationship between (x-2) and the polynomial 2x^3+x^2-3
pantera1 [17]
If (x - 2) is a factor of 2x³ + x² - 3 then for the value of x = 2 the polynominal is equal zero.
Substitute:
2 · 2³ + 2² - 3 = 2 · 8 + 4 - 3 = 16 + 4 - 3 = 17 ≠ 0
Answer: B) (x - 2) is not a factor.

3 0
3 years ago
Determine whether the function ƒ(x) = x4(x2 − 1) is even, odd or neither.
Scrat [10]
F(x) = x4(x2 - 1)
f(-x) = (-x)4((-x)2 - 1)
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7 0
3 years ago
How many feet is 20% of 4 miles
Nataliya [291]
1 mile=5280 feet
4 miles=21120 feet

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3 0
3 years ago
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Perform the following operations and prove closure. Show your work.<br><br> (x/x+3) + (x+2/x+5)
Westkost [7]

Answer:

\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}

Step-by-step explanation:

We need to sum the following two expressions:

\frac{x}{x+3} + \frac{x+2}{x+5}

\frac{x(x+5) + (x+2)(x+3)}{(x+3)(x+5)}

expanding the polynomial in the numerator:

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\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}

This is the most simplified form we can get:

\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}

8 0
3 years ago
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9 km and 597 m is equal to which of the following? (Please show the work tysm
bekas [8.4K]

e 95,970 l dont know any work just looked it up sorry

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3 years ago
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