A quadrilateral has vertices A(-2, 12), B(-1, 1), C(10, -8), and D(9, 5). Show that it is a rhombus.

What will be an ideal response?


Midpoint of AC = midpoint of BC = (4, 2). Slope of AC = -5/3, and slope of BD = 3/5

Mathematics

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Use negative exponents where necessary to write the expression with all variables in the numerator of a term. That is, write each term in the form cxn if the term contains a variable.y = 6x - 4 +  -  +  

A. y = 6x - 4 + 8x-4 - x-2 + 1x-3/2 B. y = 6x - 4 + 8x-4 - x-1/2 + 1x-2/3 C. y = 6x - 4 + (8x)-4 - x-1/2 + (1x)-2/3 D. y = 6x - 12 + x-4 - x-1/2 + x-2/3

Mathematics

Simplify the expression by using a sum or difference identity.cos(14°) cos (-4°) -  sin(14°) sin (-4°)

A. sin 10° B. sin 18° C. cos 18° D. cos 10°

Mathematics

Use a proportion to solve the problem.On a map, the length of a nature-center trail is 6.6 centimeters. If the scale is 3 centimeters to 28 kilometers, what is the actual length of the trail?

A. 65.6 kilometers B. 62.6 kilometers C. 61.6 kilometers D. 123.2 kilometers

Mathematics

Find the quadratic function y = f(x) that has the given vertex and whose graph passes through the given point.vertex (-5, -8); passing through (2, -3)

A. y = (x - 5)2 - 8
B. y = (x + 5)2 + 8
C. y = (x - 5)2 + 8
D. y = (x + 5)2 - 8

Mathematics