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Sloan [31]
3 years ago
13

Write two equivalent expressions to represent the sum of the angles of this triangle.

Mathematics
2 answers:
WARRIOR [948]3 years ago
8 0
5y+2y+2y=180
180=5y+4y
Sladkaya [172]3 years ago
7 0
Answer:
5y+(2y•2)

5y+2y+2y

2y•2 is the same thing as 2y+2y because 2+2=4 and 2•2=4
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Which function has a range of {yly < 5}?
Alexeev081 [22]

Answer:

f(x) = -(x-4)^2 + 5

Step-by-step explanation:

The function f(x) = -(x-4)^2 + 5 is a quadratic function. Its graph looks like a parabola. The graph has a vertex of (4,5) and opens up downward.

Proving that f(x) = -(x-4)^2 + 5 \le 5 for all x:

x^2 \ge 0 \Rightarrow (x-4)^2 \ge 0 \Rightarrow -(x-4)^2 \le 0 \Rightarrow -(x-4)^2 + 5 \le 5.

8 0
3 years ago
Two train stations are 50 miles apart. At noon, a train starts out from each station heading for each other. Just as they pull o
Daniel [21]

Answer: 100 miles

Step-by-step explanation: How much time does the bird spend in flight? If you represent the problem in terms of the amount of time the bird is flying, then a solution is fairly straightforward. The two trains are 50 miles apart, and are approaching each other at a relative speed of 50 mph (25 + 25), so it will take one hour for them to meet. If the bird spends one hour flying at 100 mph, then it will traverse 100 miles before the trains meet.

3 0
3 years ago
Can you please help with this question about exponential equations?
RSB [31]

Since t represents the number of years passed since 2005, in 2005 we have t=0, and in 2015 we have t=10. Let P_J(y),P_D(y) represent the profits of Jones and Davis, respectively, at year y.

We have

P_J(2005) = 10(0.99)^0 = 10,\quad P_J(2015) = 10(0.99)^{10}\approx 9

P_D(2005) = 8(1.01)^0 = 8,\quad P_D(2015) = 8(1.01)^{10}\approx 9

Choosing the best company somehow depends on how much time you can wait: Jones start with a higher value (10 vs 8), but it has a descending trend, because the multiplicative factor 0.99^t goes to zero as t grows.

On the other hand, Davis starts with a smaller value, but 1.01^t tends to infinity as t grows.

So, if you need an immediate result, the most valuable company is Jones, otherwise you're certain can Davis will eventually become bigger.

More precisely, we have

8\cdot 1.01^t = 10\cdot 0.99^t \iff 0.8 = \left(\dfrac{0.99}{1.01}\right)^t \iff t\approx 11

So, after 11 years, Davis will overcome Jones.

3 0
3 years ago
Find the area of circle B in term of ( pie )
natta225 [31]

Answer:

C.

Step-by-step explanation:

1.5^2\pi =2.25\pi

6 0
3 years ago
1 inch on the map represents 8 miles
vovangra [49]

Answer:

What is the question?

Step-by-step explanation:

7 0
3 years ago
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