Answer: Choice C) 10.5
The distance from A to C is 7 units (count out the spaces between the two points, or subtract y coordinates 4-(-3) = 4+3 = 7)
Let AC = 7 be the base of the triangle. You might want to rotate the image so that AC is laying horizontally rather than being vertical.
Now move to point P. Walk 3 spaces to the right until you land on segment AC. This shows that the height of the triangle is 3 when the base is AC = 7.
base = 7, height = 3
area of triangle = (1/2)*base*height
area of triangle = 0.5*7*3
area of triangle = 10.5 square units
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Solve the equation:

Reduce the fractions at the left side so that they have the same denominator:

Numerators must be equal:

I hope this helps. =)
Tags: <em>rational equation fraction solution algebra</em>
If the length of OA is 1.80 units. Then the length of segment AB will be 0.80 units.
<h3>What is a Pythagoras theorem?</h3>
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Line AC is perpendicular to the circle centered at O with a radius of 1 unit. The length of AC is 1.5 units.
The figure is shown below.
Then the length of segment AB will be
AB = OA - OB
AB = OA - 1
Then the OA will be
OA² = OC² + AC²
OA² = 1² + 1.5²
OA² = 1 + 2.25
OA² = 3.25
OA = 1.80 units
Then we have
AB = 1.80 - 1
AB = 0.80 units
More about the Pythagoras theorem link is given below.
brainly.com/question/343682
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The graph of the region is attached. The coordinates of the centroid are (5/3, 1).
The coordinates of the centroid are found by averaging the coordinates of the region;
Oₓ = (Aₓ+Bₓ+Cₓ)/3 = (0+1+4)/3 = 5/3
O(y) = (A(y) + B(y) + C(y)) = (0+3+0)/3=3/3=1