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ziro4ka [17]
3 years ago
12

Use the Pythagorean theorem to prove whether or not each set of numbers represent the side lengths of a right triangle.

Mathematics
1 answer:
pav-90 [236]3 years ago
4 0

Answer:

A is not a right triangle

B is a right triangle

Step-by-step explanation:

A.

6^2 = 36
12^2 = 144.

36 + 144 = 180

15^2 = 225

180 ≠ 225, so it is not a right triangle

----------------------------------------------------------------------------

B.

5^2 = 25

12^2 = 144

25 + 144 = 169

13^2 = 169

169 = 169, so it is a right triangle

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Find the sum of the series and show your process for finding each term leading to the final sum.
Crazy boy [7]

ANSWER

\sum_{k=3}^5( - 2k + 5) =  - 9

EXPLANATION

The given series is

\sum_{k=3}^5( - 2k + 5)

This series is finite.

The expanded form is

\sum_{k=3}^5( - 2k + 5) = ( - 2 \times 3 + 5) + ( - 2 \times 4 + 5) + ( - 2 \times 5 + 5)

This simplifies to

\sum_{k=3}^5( - 2k + 5) = ( - 6 + 5) + ( - 8+ 5) + ( - 10+ 5)

\sum_{k=3}^5( - 2k + 5) = ( - 1) + ( - 3) + ( - 5)

\sum_{k=3}^5( - 2k + 5) =  - 9

5 0
3 years ago
Please help me answer this.
inna [77]

Answer:

D. 4,-1

Step-by-step explanation:

The mathmatical way to solev it is to find the linear equation and plug in the points, but i just looked at the graph to see which point was in the shaded region.

5 0
3 years ago
Y=2x y=0.50x+18 solve by substitution
prohojiy [21]

Answer:

y = 18 + 0.50x

Step-by-step explanation:

I think that is the answer.

6 0
2 years ago
4. In a women's professional tennis tournament, the money a player wins depends on her finishing place in the
Stels [109]

Using geometric sequence concepts, it is found that:

a) The rule is: P_n = 750000(0.5)^{n-1}.

b) An exponential relationship exists between the two variables.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term.

A geometric sequence represents an exponential relationship between the variables.

In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:

a_1 = 750000, q = 0.5.

Hence the nth term of the sequence is given by:

P_n = 750000(0.5)^{n-1}

More can be learned about geometric sequence concepts at brainly.com/question/11847927

#SPJ1

4 0
2 years ago
Find the slope and the y-intercept of the line whose equation is -7x+y=-6
gulaghasi [49]
-7x + y = -6    |add 7x to both sides

y = 7x - 6

the slope: m = 7
the y-intercept: y = -6
6 0
3 years ago
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