<h3>
Solution (a):</h3>
- Area of rectangle = LB
- => Area of rectangle = 18 x 36
- => Area of rectangle = 648 in²
<h3>
</h3><h3>
Solution (b):</h3>
<u>Since the two triangles are equal (as said in the question):</u>
- => Area of triangles: 2(1/2 x 6 x 18)
- => Area of triangles: 6 x 18
- => Area of triangles: 108 in²
<h3 /><h3>Solution (c):</h3>
<u>Subtract the area of the triangles from the area of the rectangle.</u>
- 648 - 108 = Area of trapezoid
- => 540 in² = Area of trapezoid
Answer:
See Explanation
Step-by-step explanation:
If a Function is differentiable at a point c, it is also continuous at that point.
but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.
- the function must have one and only one tangent at x=c
- the fore mentioned tangent cannot be a vertical line.
And
If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.
- For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.
The division problem is 7 divided by 15. this can be written as 7/15. to do this, you first know that 15 doesn't go into 7, so you add a decimal point, and make the 7 70. 15 goes into 70 4 times. 15 times 4 is 60. 70-60 is 10. 15 doesn't go into 10, so you add another 0 and bring it down. 15 goes into 100 6 times. 15 times 6 is 90. 100-90 is 10. 15 doesn't go into 10, so you bring down another 0. 15 goes into 100 6 times. 15 times 6 is 90. 100-90 is 10. at this point, you can probably guess that the 6 will go on for a while. this means it is repeating. this means your answer is "a".
Answer:
The slope is -2/3
Step-by-step explanation:
To find the slope of a line between two points, we use the equation
m = (y2-y1)/ (x2-x1)
where (x1,y1) and (x2,y2) are the two points
m = (12-8)/(4-10)
= 4/-6
= -2/3
The slope is -2/3
