All categories

4 years ago

a line segment with one end at C(6,5) has midpoint m(4,2) determine the coordinates of the other endpoint d

1 answer:

meriva4 years ago

5 0

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{6}~,~\stackrel{y_1}{5})\qquad D(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+6}{2}~~,~~\cfrac{y+5}{2} \right)~~=~~\stackrel{\stackrel{Midpoint}{M}}{(4~,~2)}\implies \begin{cases} \cfrac{x+6}{2}=4\\[1em] x+6=8\\ \boxed{x= 2}\\ \cline{1-1} \cfrac{y+5}{2}=2\\[1em] y+5=4\\ \boxed{y=-1} \end{cases}$

You might be interested in

The sum of the angles in a triangle add up to how many degrees

Marizza181 [45]

Answer:

180

Step-by-step explanation:

the angles in a triangle will always add up to 180º because 180º is equal to a straight/flat line.

8 0

3 years ago

Read 2 more answers

The function D(t) defines a traveler's distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarge

nalin [4]

- At 2 hours, the traveler is 725 miles from home.

- At 3 hours, the distance is constant, at 880 miles. --> TRUE.

- The total distance from home after 6 hours is 1,062.5 miles --> TRUE.

Step-by-step explanation:

The function D(t) is defined as follows:

$D(t) = 300t+125$ for $t< 2.5$

$D(t) = 880$ for $2.5 \leq 3.5$

$D(t) = 75t+612.5$ for $t\leq 6$

Where

t is the time in hours

D(t) is the distance covered, in miles, after t hours

Now let's analyze the different statements:

- The starting distance, at 0 hours, is 300 miles. --> FALSE. In fact, if we substitute t = 0 into the 1st equation, we get

$D(0) = (300)(0)+125 = 125$

So, the distance at t = 0 is 125 miles.

- At 2 hours, the traveler is 725 miles from home. --> TRUE. In fact, if we substitute t = 2 into the 1st equation,

$D(2) = (300)(2)+125 = 725$

- At 2.5 hours, the traveler is 875 miles from home. --> FALSE. In fact, for t=2.5 we have to use the 2nd equation, which states that the distance is:

D(t) = 880

So, not 875 miles.

- At 3 hours, the distance is constant, at 880 miles. --> TRUE. This is clearly visible from the 2nd equation: for t between 2.5 and 3.5 (so, in this case), the distance is

D(t) = 880

- The total distance from home after 6 hours is 1,062.5 miles --> TRUE. In fact, if we replace t = 6 into the last equation,

$D(6)) = 75(6)+612.5=1062.5$

Learn more about functions:

brainly.com/question/3511750

brainly.com/question/8243712

brainly.com/question/8307968

Learn more about distance:

brainly.com/question/3969582

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

A recipe for homemade clay calls for 6 cups of water for every 12 cups. How many cups of water are needed when 4 cups of flour a

pochemuha

Answer:

2 cups of clay

Step-by-step explanation:

Given data

we are given that 6 cups of water for every 12 cups of clay

i.e

12 cups of clay require 6 cups of water

4 cups of clay will require x cups of water

cross multiply

12x= 4*6

12x= 24

divide both sides by 12

x= 24/12

x= 2cups

Hence 4 cups of water will require 2 cups of clay

6 0

3 years ago

14 over 10/ _____ = 7

Lorico [155]

14/10 is 1.4 , 1.4/ 0.2 is 7 so 0.2 is the answer

7 0

3 years ago

I needdd helppppppp plsss

Tanya [424]

Answer:

Step-by-step explanation:

3 - 6 = -3
Plug -3 in: $-\frac{12}{-3} + (-1)^{3}$
Simplify the fraction. Two negatives equal a positive. It should now look like this: $\frac{12}{3} + (-1)^{3}$
Simplify even more. Divide 12 by 3, and change -1 to a positive by removing the plug sign: $4 - 1^{3}$
$1^{3} = 1$
Plug 1 in: 4 - 1
4 - 1 = 3

I hope this helps!

6 0

3 years ago