Answer:
B
Step-by-step explanation:
Given focus as (h,k) and directrix as y = mx + b, the equation of a parabola is given as:
Hence, from the given focus & directrix, we have:
h = -1
k = -1
m = 0
b = 1
<em>We can plug them into the formula and arrange to get:</em>
<em></em>
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<em>B is the correct answer.</em>
Answer: The correct option is (A) < .
Step-by-step explanation: We are given to select the correct mathematical symbol that would best fill in the blank to compare the following two real numbers :
First , we need to find the values of both the real numbers in decimal form.
We have
Since, so we get
Thus, the correct mathematical symbol is <.
Option (A) is CORRECT.
Area of a triangle ABC with the given vertices is 3 square units.
Given that, the vertices of a triangle ABC, A(3,-6), B(5,-6), and C(7,–9).
<h3>What is the area of triangle formula in coordinate geometry?</h3>In Geometry, a triangle is a three-sided polygon that has three edges and three vertices. The area of the triangle is the space covered by the triangle in a two-dimensional plane.
Area of a triangle =
Here, (x1, y1) = A(3,-6), (x2, y2) = B(5,-6), and (x3, y3) = C(7,–9)
Now, the area of a triangle = 1/2 (|3(-6+9)+5(-9+6)+7(-6+6)|)
= 1/2 (|3(3)+5(-3)+7(0)|)
= 1/2 (|(9-15)|)
= 1/2 × 6
= 3 square units
Therefore, area of a triangle ABC with the given vertices is 3 square units.
To learn more about the area of a area of triangle with vertices visit:
brainly.com/question/26633662.
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