Answer:
150 ft²
Step-by-step explanation:
Area of trapezoid = ½(a + b)h
Where,
a = 24 ft
b = 24 + 12 = 36 ft
h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)
Plug in the values
Area of trapezoid = ½(24 + 36)*5
= ½(60)*5
Area of trapezoid = 150 ft²
*The missing image is attached with the answer*
The correct answer is:
Height = h =5 unitsExplanation:a = 6 = Smaller base
b = 10 = Larger base
h = height
Area = A = (a + b)h/2 = 40
Plug in the values in the above equation:
h = (2*40)/(6+10)
h = 5 units
The given line is y = 3x - 5 after adding Y and subtracting 5 from both sides.
The slope of this given line is 3.
Therefore, the slope of the perpendicular line is -1/3, as it must be the negative reciprocal.
The general form of a line equation in slope intercept form is y = Mx+B where M is the slope and B is the intercept.
Solving for B is: B = y- Mx
So the intercept of the perpendicular line with slope M=-1/3 and passing through (x=4, y=-3) is
y M * x
B = -3 - (-1/3)*4 =
-3 + 1/3*4 = <-- subtracting the negative is the same as adding the positive; definition of subtraction
-3 + 4/3 = <-- multiplies the fractions first per order of mixed operations
-9/3 + 4/3 <-- common denominator is 3
= -5/3
So the equation of the perpendicular line is y = -1/3X + -5/3 = -1/3X-5/3
Notice when X=4, y = -1/3(4) - 5/3 = -4/3 - 5/3 = -9/3 = -3 as expected
The answer is B hopes this helps
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