Answer:
y = x^2 - 4
Step-by-step explanation:
The vertex of a parabola is exactly halfway between the focus and the directrix. If the focus is at (0, -6) and the directrix is the line y = -2, then we do this to locate the vertex: Draw a vertical line through (0, -6) also crossing the line y = -2. The y value halfway between y = -6 and y = -2 is y = -4, and the vertex is thus (0, -4).
Using the vertex method, write out the equation of this parabola, starting with the general form y - k = (x-h)^2, where (h, k) is the vertex. Here h = 0 and k = -4
We get: y + 4 = (x - 0)^2, or y + 4 = x^2, or y = x^2 - 4. As a check, let x = 0; y = -4, which is the y-coordinate of the vertex.
Answer:
0.25
Step-by-step explanation:
Scale factor = ratio of the sides
Assuming the first rectangle is with shorter side 6,
Scale factor = 1.5/6 = 15/60 = 1/4 = 0.25
Answer:
One half (1/2) the measurement of the third side
Step-by-step explanation:
Mid segment theorem defines the relationship between the constructed line joining the midpoint of two sides of a triangle, and parallel to the third side of the triangle which is also called the midsegment
Whereby the angles are defined by the proportion of the sides, the midsegment will have a length which is half the measurement of the length of the third side.
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Answer: 7.14
I hope this helped!
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- Zack Slocum
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AC is a common side, ∠ACD = ∠ACB and CD = BC ⇒ ΔACD and ΔABC <span>are congruent (SAS definition).
</span>Congruent triangles have exactly the same three angles, so ∠D = ∠B.<span>
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