Use the distance formula and/or the Pythagorean Theorem to find the area of the triangle.
1 answer:
Answer:
<h2>B. 20.5 square units</h2>Step-by-step explanation:
Area of a triangle = 1/2 * Base * Height
For the given triangle, the value for the sides will be the distance between adjacent points on the triangle. Look at the attached file for the explanation of the diagram.
Using the formula for finding the distance between two points to get the base and the height of the triangle.
D = √(x2-x1)²+(y2-y1)²
For side AB where A = (-3, -4) and B(2, 0)
AB = √(2-(-3))²+(0-(-4))²
AB = √5²+4²
AB = √25+16
AB = √41
AB = Height
For side BC where B = (2, 0) and C = (6, -5)
√(x2-x1)²+(y2-y1)²
BC = √6-2)²+(-5-0)²
BC= √4²+(-5)²
BC = √16+25
BC= √41
BC = base of the triangle
Area of the triangle = 1/2 * √41 * √41
Area of the triangle = 1/2 * 41
Area of the triangle =20.5square units
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<h3>To find the product of 42.12 and 10^3, move the decimal point in 42.12 3 places to the right because 10^3 has 3 zeros</h3>
<em><u>Solution:</u></em>
Given that,
Which means,
Here, the exponent of 10 is positive ( which is 3)
When the exponent is positive, we have to move the decimal point to right
When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10
Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12
Therefore,
Answer:
8
Step-by-step explanation:
Find the LCD of the two fractions, which is six
3 = 3
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5 + 3
= 8
The next step is to reduce:
8 = 8
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Have a great summer :)