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3 years ago

Please show work !!! Thxs

Mathematics

1 answer:

Vikki [24]3 years ago

4 0

Perpendicular lines have opposite reciprocal slopes, so to find the slope of the line perpendicular to y = 2x -1,

first find the slope of y = 2x - 1, which is 2 (slope is the coefficient of the variable x).

Now we must find the opposite reciprocal of 2, so flip 2 (2/1) over and add a negative sign.

2 becomes -1/2, so your answer is:

A) -1/2

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The four swimmers listed in the table are trying out for the swim team. Two will make the team. How many different combinations

ratelena [41]

Number of possible combinations = (4x3) ÷ 2 = 6

Answer: There are 6 possible combinations.

8 0

3 years ago

The sum of two number is 27. One number is 3more than the other number. Write and solve a system of equations to find the two nu

Sladkaya [172]

Answer:

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4 years ago

Given that 'n' is any natural numbers greater than or equal 2. Prove the following Inequality with Mathematical Induction

Oliga [24]

The base case is the claim that

$\dfrac11 + \dfrac12 > \dfrac{2\cdot2}{2+1}$

which reduces to

$\dfrac32 > \dfrac43 \implies \dfrac46 > \dfrac86$

which is true.

Assume that the inequality holds for n = k ; that

$\dfrac11 + \dfrac12 + \dfrac13 + \cdots + \dfrac1k > \dfrac{2k}{k+1}$

We want to show if this is true, then the equality also holds for n = k + 1 ; that

$\dfrac11 + \dfrac12 + \dfrac13 + \cdots + \dfrac1k + \dfrac1{k+1} > \dfrac{2(k+1)}{k+2}$

By the induction hypothesis,

$\dfrac11 + \dfrac12 + \dfrac13 + \cdots + \dfrac1k + \dfrac1{k+1} > \dfrac{2k}{k+1} + \dfrac1{k+1} = \dfrac{2k+1}{k+1}$

Now compare this to the upper bound we seek:

$\dfrac{2k+1}{k+1} > \dfrac{2k+2}{k+2}$

because

$(2k+1)(k+2) > (2k+2)(k+1)$

in turn because

$2k^2 + 5k + 2 > 2k^2 + 4k + 2 \iff k > 0$

6 0

3 years ago

Read 2 more answers

Which statement about the temperatures −13.4°C and −13.2°C is true?

Lady_Fox [76]

Answer:

I think "−13.4°C<−13.2°C because −13.2°C is warmer than −13.4°C" is the right answer

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3 years ago

a train traveled 145 miles in 4.2 hours. to the nearest tenth, what was the average speed of the train in miles per hour?

AURORKA [14]

Answer:

34.5

Step-by-step explanation:

divide 145 by 4.2

4 0

4 years ago