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Dmitry_Shevchenko [17]

3 years ago

14

For the line segment whose endpoints are X(1,2) and Y(6, 7) find the x coordinate for the point located 1/3 the distance from X

to Y.

2 answers:

muminat3 years ago

3 0

Answer:(2.6,3.6)

So 2.7

Step-by-step explanation:

Find the distance between 1 and 6 then divide by 3 and do the the same thing for2 and 7

Grace [21]3 years ago

3 0

Answer:

2.7

Step-by-step explanation:

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Solve this for me please I will mark brainliest?

Alexandra [31]

Answer:

There were 53 cakes ordered.

Step-by-step explanation:

☆Cross multiply.

$\frac{3 \: cakes}{50.67 \: dollars} = \frac{x}{895.17 \: dollars} \\ \\ \frac{50.67x}{50.67} = \frac{2685.51}{50.67} \\ \\ x = 53$

▪Happy to help <3

3 0

3 years ago

Read 2 more answers

Problems 2.21, 2.22, 2.23

RoseWind [281]

Statements can be proved by contrapositive, contradiction or by induction.

<em>2.21 and 2.23 are proved by contrapositive</em>
<em>2.22 is proved by induction</em>

<u />

<u />

<u>2.21: If </u> $n^3$ <u> is even, then n is even (By contrapositive)</u>

The contrapositive of the above statement is that:

<em>If n is odd, then </em> $n^3$ <em> is odd</em>

Represent the value of n as:

$n = 2k + 1$ , where $k \ge 0$

Take the cube of both sides

$n^3 = (2k + 1)^3$

Expand

$n^3 = 8k^3 + 6k^2 + 6k + 1$

Group

$n^3 =[ 8k^3 + 6k^2 + 6k] + 1$

Factor out 2

$n^3 =2[4k^3 + 3k^2 + 3k] + 1$

Assume w is an integer; where:

$w =4k^3 + 3k^2 + 3k$

So, we have:

$n^3 =2w + 1$

The constant term (i.e. 1) means that $n^3$ is odd.

Hence, the statement has been proved by contrapositive.

<em>i.e. If n is odd, then </em> $n^3$ <em> is odd</em>

<u />

<u>2.22 </u> $3n + 4$ <u> is even, if and only if n is even</u>

We have: $3n + 4$ <u />

<u />

Assume that: $n = 2k + 2$ for $k \ge 0$

So, we have:

$3n + 4 = 3(2k + 2) + 4$

Open bracket

$3n + 4 = 6k + 6 + 4$

$3n + 4 = 6k + 10$

Factorize

$3n + 4 = 2(3k + 5)$

The factor of 2 means that $3n + 4$ is even.

<em>Hence, </em> $3n + 4$ <em> is even, if and only if n is even </em>

<em />

<u />

<u>2.22: </u> $s \ne -1$ <u> and </u> $t \ne -1$ <u>, then </u> $s + t + st \ne -1$ <u />

To do this, we prove by contrapositive.

The contrapositive of the above statement is:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

We have:

$s + t + st = -1$

Substitute the values of s and t in: $s + t + st = -1$

$-1 -1 -1 \times -1 = -1$

$-1 -1 + 1 = -1$

$-1 = -1$

Hence, by contrapositive:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

Read more about proofs at:

brainly.com/question/19643658

7 0

3 years ago

A designer wants to create an apartment in the shape of a right triangle as his new design. If he has three partitions that are

ella [17]

No, he can not do it

Step-by-step explanation:

To prove that the the given three sides can form a right triangle:

Square the three sides
Add the squares of the smaller two sides
If the sum is equal to the square of the largest side, then the three given sides can form a right triangle
If the sum is not equal to the square of the largest side, then the three given sides can not form a right triangle

∵ The designer has three partitions that are 14 , 9 and 20 feet

- Square the length of each partition

∵ 9² = 81

∵ 14² = 196

∵ 20² = 400

- Add the squares of the two smaller partitions 9 and 14

∵ 81 + 196 = 277

∵ The square of the largest partition = 400

∵ 277 ≠ 400

∴ The sum of the squares of the two smaller partitions is not

equal to the square of the third partition

- To create the apartment in the shape of a right triangle he must

have three partitions the sum of the squares of the two smaller

partitions is equal to the square of the largest partition

∴ He can not create the apartment in the shape of a right triangle

No, he can not do it

Learn more:

You can learn more about the right triangles in brainly.com/question/4098846

#LearnwithBrainly

3 0

3 years ago

The output is less than the input

lakkis [162]

We r learning the energy unit too! what's ur question?

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Describe how a statistical question yields an answer with variability. Give a example.

WINSTONCH [101]

<span>Which is a statistical question. How tall is the governor of our state</span>

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3 years ago