Answer:
12) y=3x-15
14) y=-1/2x
16) y=13x-105
Step-by-step explanation:
Parallel lines always have the same slopes but different y-intercepts. So, we can make the equation (b is y-intercept of new equation):
12) y=3x+b
14) y=-1/2x+b
16) y=13x+b
now, we can plug in each of the coordinates given to these equations.
12) (4,-3): 4 is x, -3 is y.
-3=3(4)+b
simplify: b= -15
14) (-4,2): -4 is x, 2 is y
2=-1/2(-4)+b
simplify: b=0
16) (9,12): 9 is x, 12 is y
12=13(9)+b
simplify: b=-105
Now, plug in those numbers to your equation for b value.
12) y=3x-15
14) y=-1/2x
16) y=13x-105
*for 14 we don't need to write anything after -1/2x because b=0*
Answer:
All the plates were placed normally.
Step-by-step explanation:
All the plates were upside down, then every third waiter turned the third plate upwards, the fourth waiter turned every plate upward and so on, the pattern continued until the 100th waiter turned the 100th plate upward. The pattern was finished and all the plates were placed normally, right side up.
4tan^(2)x-((4)/(cotx))+sinxcscx
Multiply -1 by the (4)/(cotx) inside the parentheses.
4tan^(2)x-(4)/(cotx)+sinxcscx
To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is cotx. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
4tan^(2)x*(cotx)/(cotx)-(4)/(cotx)+sin...
Complete the multiplication to produce a denominator of cotx in each expression.
(4tan^(2)xcotx)/(cotx)-(4)/(cotx)+(cot...
Combine the numerators of all expressions that have common denominators.
<span>
(4tan^(2)xcotx-4+cotxsinxcscx)/(cotx)</span>
Answer:
21.35
Step-by-step explanation:
4.27 * 5 i hope this is one of your answers
