All categories

3 years ago

The midpoint of a line segment is (−1,6) . One endpoint of the line segment is (4,−7) .

Mathematics

1 answer:

pogonyaev3 years ago

5 0

Answer:

The other coordinate is (-6,19)

Step-by-step explanation:

$m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

(4,-7)

(x,y)

[(4+x)/2 , (-7+y)/2] = (-1,6)

(4 + x)/2 = -1

4 + x = -2

× = -6

(-7 + y)/2 = 6

-7 + y = 12

y = 19

(Correct me if i am wrong)

You might be interested in

A simple die is thrown 100 times and the number five appears 14 times. Find the experimental probability of throwing a five, giv

mario62 [17]

Answer:

The experimental probability of throwing a five is 0.087.

Step-by-step explanation:

Given:

Number of trials (n) = 100

Number of times 5 appears (x) = 14

Let the event of occurrence of 5 be success and the probability represented by 'p'. So, all the other numbers occurrence is failure and its probability is represented as 'q'.

Probability of success is given as:

$p=\frac{Number\ of\ favorable\ events}{Total\ number\ of\ outcomes}$

Favorable event is occurrence of 5. So, its number is 1 as there is only one 5 in the die. Total outcomes are 6 as there are six numbers. So,

$p=\frac{1}{6}$

Now, probability of failure is given by the formula:

$q=1-p=1-\frac{1}{6}=\frac{5}{6}$

Now in order to find the experimental probability of 14 successes out of 100 trials, we apply Bernoulli's theorem which is given as:

$P(x) = ^nC_xp^xq^{n-x}$

Plug in all the given values and find the probability of 14 successes. This gives,

$P(x=14)=^{100}C_{14}(\frac{1}{6})^{14}(\frac{5}{6})^{100-14}\\\\P(x=14)=0.087$

Therefore, the experimental probability of throwing a five is 0.087.

8 0

3 years ago

Is -2/3(12b - 6 + 9b - 18) equivalent to 2b(b + 8)? Show your work.

AURORKA [14]

Answer:

No, they are not equivalent

Step-by-step explanation:

$\frac{-2}{3}(12b - 6 + 9b - 18) = \frac{-2}{3}(12b + 9b - 6 - 18)\\\\=\frac{-2}{3}(21b - 24)\\\\ = \frac{-2}{3}*21b -24*\frac{-2}{3}\\\\= -2*7b + 8*2\\\\= 2( -7b + 8)$

8 0

3 years ago

Read 2 more answers

Giselle works as a carpenter and as a blacksmith. She earns $20\$20 $20 dollar sign, 20 per hour as a carpenter and $25\$25 $25

malfutka [58]

C = # of carpenter hrs , b = # of blacksmith hrs

c + b = 30...c = 30 - b
20c + 25b = 690

20(30 - b) + 25b = 690
600 - 20b + 25b = 690
-20b + 25b = 690 - 600
5b = 90
b = 90/5
b = 18 <== hrs worked as blacksmith

c + b = 30
c + 18 = 30
c = 30 - 18
c = 12 <== hrs worked as carpenter

7 0

4 years ago

5 plus 2 minus 6 times 4

nevsk [136]

Answer:

714

Step-by-step explanation:

5+2=7

7-6=1

1x4=4

3 0

3 years ago

Read 2 more answers

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln x, [1,7] choose one letter t

inn [45]

ANSWER

B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

$c\approx 3.08$

EXPLANATION

The given

$f(x) = ln(x)$

The hypotheses are

1. The function is continuous on [1, 7].

2. The function is differentiable on (1, 7).

3. There is a c, such that:

$f'(c) = \frac{f(7) - f(1)}{7 - 1}$

$f'(x) = \frac{1}{x}$

This implies that;

$\frac{1}{c} = \frac{ ln(7) - 0}{6}$

$\frac{1}{c} = \frac{ ln(7)}{6}$

$c = \frac{6}{ ln(7) }$

$c\approx 3.08$

Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.

7 0

3 years ago