Answer:
Step-by-step explanation:
9. For the lines 'm' and 'n' to be parallel the sum of interior angles should be 180 degrees that is:
10. For the lines 'm' and 'n' to be parallel the alternate exterior angles should be equal that is:
11. For the lines 'm' and 'n' to be parallel alternate angles should be equal that is:
Solving for 'x' we get:
12. For the lines 'm' and 'n' to be parallel corresponding angles should be equal that is:
Answer:
3
Step-by-step explanation:
When Anne Betty and Cynthia compared the amount of money each had, they discovered that Anne and Betty together had $12 Betty and Cynthia together had $18 and Anne and Cynthia together had $10.
<span>Who had the least amount of money? and how much was it?
a +b = 12
b + c = 18
a + c = 10
So what I did is simple XD A logical guess and check. I started with a = 1, but that was to little. And also didn't match up. So I kept going up and got a = 2, b = 10, and c = 8</span>
Multiply 35 by 97 to figure out how many strawberries there were: 35•97=3,395. Divide by 14 to figure out how many punnets: 3395/14=242.5. Multiply by 1.95 to figure out how much the strawberries went for: 242.5•1.95=472.875. Round to the nearest cent: 472.875=472.88. The answer: $472.88 :)
Answer:
y = 4sin [(1/2)t - (4/3)π ] - 2
Step-by-step explanation:
For this question, do not be intimidated by the terminology, just realize the following:
for y = a sin [ (2π/T) t ]
a = amplitude = given as 4
T = period = given as 4π
phase shift is simply horizontal shift, positive values means the graph moves by that amount to left and negative values means the graph moves to the right.
vertical shift ... is well a shift vertically. positive values move the graph up vertically and negative values move the graph down vertically.
so... if we start with the basic formula:
y = a sin [ (2π/T) t ]
given a = 4 and T = 4π (substitute these values into the formula)
y = (4) sin [ (2π/4π) t ] = (4) sin [ (1/2) t ]
y = 4sin [(1/2)t ]
Now for the shifts:
given phase shift, aka horizontal shift is -(4/3)π, equation becomes
y = 4sin [(1/2)t - (4/3)π ]
given vertical shift is -2, the equation simply becomes
y = 4sin [(1/2)t - (4/3)π ] - 2
