Answer:By definition, perpendicular line are two lines that intersect at right angles. In other words, the angle made by two lines should be 90°. Therefore, the use of distance formula does not help because it only tells you if the sides are equal. It does not tell you about the intercepted angle.
A technique that can help you to know if two straight lines are perpendicular is is you find their slopes. Let's say the slope of line 1 is m1 and the slope of line 2 is m2. If m1*m2 yields a product of -1, then the lines are perpendicular. This is because if m1 is the negative reciprocal of m2, the lines are perpendicular. But if m1=m2, the lines are parallel, meaning they don't intersect at all.
Therefore, the answer is: Find the slopes and show that their product is -1.
hope it help
The critical values of the function are x = 0 and x = 64
The critical values of a function f(x) are the values of x for which f'(x) = 0.
Given,
f(x) = ![\frac{x^{4} }{5(x-8)^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B4%7D%20%7D%7B5%28x-8%29%5E%7B2%7D%20%7D)
The derivative is found as follows, applying the quotient rule:
f'(x) = ![\frac{[5(x^{4} )(x-8)^{2}-5x^{4} [(x-8)^{2} ]' }{[5(x-8)^{2} ]^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5B5%28x%5E%7B4%7D%20%29%28x-8%29%5E%7B2%7D-5x%5E%7B4%7D%20%5B%28x-8%29%5E%7B2%7D%20%5D%27%20%7D%7B%5B5%28x-8%29%5E%7B2%7D%20%5D%5E%7B2%7D%20%20%7D)
= ![\frac{2x^{3}(x-64) }{5(x-8)^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5E%7B3%7D%28x-64%29%20%7D%7B5%28x-8%29%5E%7B3%7D%20%7D)
The zeros of the function are the zeros of the numerator, thus:
![2x^{3} (x-64) =0\\2x^{3} =0-------- > x =0\\](https://tex.z-dn.net/?f=2x%5E%7B3%7D%20%28x-64%29%20%3D0%5C%5C2x%5E%7B3%7D%20%3D0--------%20%3E%20x%20%3D0%5C%5C)
x - 64 = 0------------->x = 64
The critical values are x = 0 and x = 64
Learn more about critical values here:brainly.com/question/12958088
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Answer: Choice C
Mean = 37.1
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Explanation:
Refer to the table below. The colum labeled "M" is the midpoint for each age interval. To find the midpoint, add up the endpoints and divide by 2. For example, the midpoint of 18 and 24 is (18+24)/2 = 42/2 = 21. Notice how the values of M are increasing by 7 each time.
The column labeled fM refers to multiplying the frequency f with the midpoint M. Example: fM = 6*21 = 126 in the first row.
Add up everything in the column labeled fM and you should get 1484. Divide this over the sum of the frequencies (40) and the mean is 1484/40 = 37.1
Answer:
I need further information to complete the qeustion. What is company B offering?
Step-by-step explanation:
y = 5x + 125
Answer:
2. battery
3. mechanical energy
4. Nuclear energy
5. Animalia
6. Greater than 45 centimeters, as the ball transforms some of its potential energy into thermal energy and sound energy
7. C and D
8. Archaebacteria
9. Increase the temperature of juice in Glass A by 20 °C
10. Skating blades become cold as kinetic energy is transformed into thermal energy
11. The molecules of milk in Glass A have less kinetic energy than the molecules of milk in Glass C.
12. Fungi
Step-by-step explanation:
Hope this helps!