Answer:
In which scenario does Seth start closer to school?
bus stop, 5 miles from home
In which scenario does Seth travel at a greater speed, and what was the rate?
friend’s house, 2 miles every 3 minutes
For the limit approaching 3 from the right, you want to follow the line to the right of x = 3. From the graph you're describing it sounds like that's y = -3.
The RHS limit is -3 even though f(3) = 7
(11 - 9i) - (15 - 12i) Ok so first multiple the subtraction sign into the parenthesis on the right had side of it.
And you get -15 + 12i
So now you have 11 - 9i -15 + 12i Combine Like terms
-9i + 12i = 3i
11 - 15 = -4
So your answer is 3i - 4
Hope you find this to your liking
9514 1404 393
Answer:
- arc BC = 60°
- m∠ADC = 60°
- m∠AEB = 105°
- m∠ADP = 45°
- m∠P = 60°
Step-by-step explanation:
The sum of arcs of a circle is 360°. The given conditions tell us arc BC ≅ arc AB, so the four arcs of the circle have ratios ...
CB : BA : AD : DC = 2 : 2 : 3 : 5
The sum of ratio units is 2+2+3+5 = 12, so each one stands for 360°/12 = 30°. Then the arc lengths are ...
arc BC = arc BA = 60° . . . . 2 ratio units each
arc AD = 90° . . . . . . . . . . . . 3 ratio units
arc DC = 150° . . . . . . . . . . . .5 ratio units
The inscribed angles are half the measure of the intercepted arcs:
∠ADC = (1/2) arc AC = 1/2(120°) = 60°
∠ADP = 1/2 arc AD = 1/2(90°) = 45°
The angles at E are half the sum of the measures of the intercepted arcs.
∠AEB = (arc AB + arc CD)/2 = (60° +150°)/2 = 105°
Angle P is half the difference of the intercepted arcs.
∠P = (arc BD -arc AD)/2 = (210° -90°)/2 = 120°/2 = 60°
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In summary, ...
arc BC = 60°
m∠ADC = 60°
m∠AEB = 105°
m∠ADP = 45°
m∠P = 60°
Hey!
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Solution:
77.50 = 0.15x + 10
77.50 - 10 + 0.15x + 10 - 10
67.50 = 0.15x
0.15x = 67.50
0.15x/0.15 = 67.50/0.015
x = 450
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Check:
77.50 = 0.15(450) + 10
77.50 = 67.50 + 10
77.50 = 77.50
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Answer:
450 text messages can be sent when the monthly charge is $77.50!
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Hope This Helped! Good Luck!
