Answer:
Area = 14.5
Step-by-step explanation:
Let's label the given coordinates A, B, C;
Thus;
A = (2, 3)
B = (-1, 0)
C = (2, -4)
From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;
Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2
Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2
Area = 29/2
Area = 14.5
K^2 - 100h^2
(k - 10h)(k + 10h)
<u>Corrected Question</u>
The solution to an inequality is represented by the number line. How can this same solution be written using set-builder notation? {x | x > }
Answer:
Step-by-step explanation:
Given an inequality whose solution is represented by the number line attached below.
We observe the following from the number line
There is an open circle at 3, therefore the solution set does not include 3. (We make use of > or < in cases like that)
The arrow is pointed towards the right. All points to the right of 3 are greater than 3, therefore:
The solution in the number line can be written using set-builder notation as:
Answer:
Step-by-step explanation:
First system
The length of the major arc QSR is 39.77 inches
<h3>How to find the length of the major arc QSR?</h3>
The given parameters are:
m∠QPR = 170 degree
Radius, r = 6 inches
The length of the major arc QSR is calculated as:
Arc length = (360 - Angle/360) * 2πr
Substitute the known values in the above equation
Arc length = (360 - 170/360) * 2 * 3.14 * 6
Evaluate the difference
Arc length = (190/180) * 2 * 3.14 * 6
Evaluate the product
Arc length = 39.77
Hence, the length of the major arc QSR is 39.77 inches
Read more about arc lengths at:
brainly.com/question/2005046
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