Error

Let r = ⟨5, –1⟩, s = ⟨6, 0⟩, and t = ⟨–1, –3⟩. Aaron incorrectly determined 2r + 4s – 7t as ⟨41, –23⟩. Review his calculations.2r + 4s – 7t2⟨5, –1⟩ + 4⟨6, 0⟩ – 7⟨–1, –3⟩⟨10, –2⟩ + ⟨24, 0⟩ + ⟨7, –21⟩⟨41, –23⟩
A circle is shown. Secants E G and D G intersect at point G outside of the circle. Secant E G intersects the circle at point F and secant D G intersects the circle at point H. The length of E F is x, the length of F G is 6, the length of D H is x + 3, and the length of H G is 5.

In triangle MNP, and units. What is the approximate length of PN?

Sheila is building a triangular sandbox in her backyard. She has obtained the measurements in the diagram below. The angle is measured in degrees. [Not drawn to scale]What is the unknown side length (x)? Round the answer to the nearest tenth.

If and , what is X when ?





Given vectors u = ⟨–5, 1⟩ and v = ⟨8, 6⟩, which statement is true for u and v?
What are the values of x and y in the matrix subtraction below?





Review the diagram of a locket in the shape of an ellipse. The major and minor axes are labeled in the diagram.





Given u = and v = ⟨3, –4⟩, what is u · v?





Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal.
What is the radius and center of a circle with the equation (x – 2)2 + (y – 3)2 = 36?
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Which of the following matrices does not have an inverse?




What is the length of side m in shown below, given M = 35° and P = 65° and p = 20? Round the answer to the nearest tenth. [Not drawn to scale]

An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8).Which equation represents this ellipse?




Which measurements are correct? Select two options.



In quadrilateral PQRS, measures (7x - 2)o . Angle PSR measures (5x + 14 )o.





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