Find x value for the point that splits segment CD in half if point C is located at (−2, 4) and point D is located at (3, 7).

Answers

Answer 1

The x value is 1/2, or 0.5

Just use the midpoint formula
(x2+x1)/2 , (y2+y1)/2

to find the midpoint. The x value would be (x2+x1)/2, so plug in the numbers.
(-2+3)/2 = 1/2

Answer 2

Answer:

[tex]\text{The x value for the point that splits segment CD in half is }\frac{1}{2}[/tex]

Step-by-step explanation:

Given two points C(-2,4) and D(3, 7)

we have to find the value of x-coordinate for the point that splits segment CD in half.

By mid-point formula,

The coordinate of mid-point of line segment joining the points (a,b) and (c,d) are [tex](\frac{a+c}{2}, \frac{b+d}{2})[/tex]

Coordinates of mid-point joining the points C(-2,4) and D(3, 7)

[tex](\frac{-2+3}{2},\frac{4+7}{2})[/tex]

[tex](\frac{1}{2},\frac{11}{2})[/tex]

[tex]\text{The x value for the point that splits segment CD in half is }\frac{1}{2}[/tex]

Related Questions

I need help!!!!!
#1
5 1/2 + 0.6x=16
#2
5/9 divided by x = 3 3/4
Thanks!!!!!!!1

Answers

1. 5 1/2 + 0.6x =16
.6x=10.5
X=17.5
2. 3 3/4 times 9/5
X= 27/4

What is the coefficient of the variable in the expression 6 − 4x − 8 + 2?

Answers

the coefficient is the number multiplied by the variable (letter)....so ur coefficient is - 4

Answer:

The coefficient is -4. Hope this helps!!

Step-by-step explanation:

The Ortiz family will travel round-trip from Indianapolis to Denver this summer. The driving distance between the two cities is 1,058 miles. They need to find out about how much the gas will cost round trip. Their car gets about 20 miles per gallon. They usually spend about $2.89 per gallon.

Answers

The gas will cost $1,528.82.

the segments below shown below could form a triangle

AC= 8
CB=7
BA=15

True or false?

Answers

The answer to this question is true.

Answer:

The answer is FALSE

Step-by-step explanation:

APEX

What is 45.261 in expanded form

Answers

40.00+5.00+0.200+0.060+1=45.261

Greta uses 3 cups of pasta for every 3/4 cup of sauce. How much pasta does she use per vip of sauce?

Answers

3/4 = 0.75
0.75 • 4 = 3 3 is the closest whole number

4•3= 12 cups of sauce

the sum of 2 numbers is 42 and the difference is 20

Answers

31 + 11 = 42

31 - 11 = 20

your answer is 31 & 11

hope this helps :D

How many megabytes can a 4.7 gigabyte DVD store

Answers

only about 12 or 13 gb's are very small

There are 1000 megabyte in 1 gigabyte

4.7 x 1000 = 4700 megabyte

4700 megabyte is your answer

hope this helps

Easy Exponents! Please Help!

Answers

1/16 x 1/49 = 1/784

1/28^2 = 1/784

Your answer is B

hope this helps

The answer is b hopefully it is right

A classmate said that ab is parallel to dc based on the diagram below. Explain your classmate's error.

Answers

For AB to be parallel to DC based on the diagram, angle AWZ must be equal to angle WZY.

But in the diagram shown, angle AWZ is equal to angle XYC and we are not told that WZ is parallel to XY.

Therefore his error is that he misapplied the alternate angle property.

the product of a number and 2.5 is 375. find a number

Answers

150. answer is 150. divide 375 by 2.5.

150 & the other girl explained so if you want me to explain just comment on this

Simone peeled 14 potatoes in 1/5 hour. At this rate, how many potatoes can Simone peel in one hour?

Answers

Do a proportion
First change 1/5 into a whole number first.Which is 1/5 times 60=12
Now do a proportion
14/12=x/60
12x=840
x=70
Simone can peel 70 potatoes in a hour.

he can peel 70 potatoes in one hour

What is 7 over 9 subtract 1 over 3

Answers

the answer is 4/9 or 0.44444

so if i understand correctly this is fraction subtractions so in order to do it you have to have a common denominator and in order to do it you will change 1/3 to 3/9 and then subtract it from 7/9
7/9-1/3
7/9-3/9
4/3
i hope this helped

Help please

Match each point with one of the following rational number:

A=-5/16,B=-9/16,C=-0.7,D=-0.4

A=-0.4,B=-0.7,C=-5/16,D=9/16

A=9/16,B=-5/16,C=-0.4,D=-0.7

A=-0.7,B=-9/16,C=-0.4,D=-5/16

Answers

Because none of the points on the number line are above 0, we know that the points will be negative.
This eliminates the second and third choices, as they contain positive numbers.
The first point, A, is a number less than -0.5 or -1/2
The first choice matches A with -5/16, which is less than -0.5 or -1/2
Therefore, the fourth choice must be the correct answer.

evaluate the expression when a=6 . a-24 ( a:-30 , b:-18 , c:18 , d:22 )

Answers

a=6, then a-24 is b:-18

Caculate each unit rate.

115 miles in 2 hours

Answers

57.5 is the unit rate

A=2πr^2+2πrh Solve for π

Answers

A=2πr^2+2πrh
A=π(2r^2+2rh)
π = A / (2r^2+2rh)

Tom used 5/8 yard of ribbon to tie weights on the tail of his kite. He cut the length of ribbon into equal pieces that were 1/12 yard long. How many pieces, each 1/12 yard long, did Tom cut from the 5/8 yard ribbon?

Answers

Final answer:

Tom was able to cut 7.5 pieces of ribbon that were 1/12 yard long from a total length of 5/8 yard, which normally rounds down to 7 full pieces.

Explanation:

Tom cut his 5/8 yard ribbon into pieces that were 1/12 yard long. To find out how many such pieces Tom could cut, you divide the total length of ribbon by the length of each piece:

Calculate how many 1/12 yard pieces are in one yard by dividing 1 by 1/12. This equals 12, which means there are 12 pieces of 1/12 yard in one yard.

Multiply 5/8 by 12 to find out how many 1/12 yard pieces are in 5/8 of a yard. (5/8) * 12 = 7.5

Therefore, Tom was able to cut 7.5 pieces of ribbon, each measuring 1/12 yard. Since you can't have half a piece of ribbon, we would round down to 7 pieces (the question remains if the leftover could form a full piece, but based on the initial information, it's assumed to not be a full piece).

During a thunderstorm 600 millimeter of rain fell in 30 minutes how fast did the rain fall in millimeters per hour

Answers

20 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Laura is trying to find the volume of a cone. So far she has found the area of the base of the cone and multiplied it by the height of the cone. Describe what she needs to do next.

Answers

Laura has found the volume of a cylinder. This means, she will need to subtract volume from this shape in order to reveal a cone. She should then proceed to find the area of half the base multiplied by the height and then multiply this quantity by [tex]2\pi r[/tex] where r is length of half the base. She will take this quantity and subract it from her previous quantity.

Laura will need to subtract the volume from this shape in order to reveal a cone.

How to find volume of a right circular cone?

Suppose that the radius of considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

Since Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of base.

Here, Laura has found the volume of a cylinder. which means, she will need to subtract volume from this shape in order to reveal a cone.

Then proceed to find the area of half the base multiplied by the height and then multiply this quantity,

where r is length of half the base. She will take this quantity and subract it from her previous quantity.

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What is 2 and 5/14 divided by (2 and 5/8 times 1 and 3/7)?

Answers

(2 5/14) / (2 5/8 * 1 3/7)....turn them all into improper fractions
(33/14) / (21/8 * 10/7)
(33/14) / (105/28)...when dividing fractions, flip what u r dividing by, then multiply
33/14 * 28/105 = 132/210 reduces to 22/35 <==

Final answer:

To divide 2 and 5/14 by (2 and 5/8 times 1 and 3/7), convert the mixed numbers to improper fractions, multiply the fractions in the denominator and numerator separately, and then divide by multiplying by the reciprocal of the second fraction. The final answer is 44/5.

Explanation:

To divide 2 and 5/14 by (2 and 5/8 times 1 and 3/7), we first need to convert the mixed numbers into improper fractions. 2 and 5/14 can be written as 33/14, 2 and 5/8 can be written as 21/8, and 1 and 3/7 can be written as 10/7. Next, we can multiply the fractions in the denominator and the fractions in the numerator separately. So (2 and 5/8 times 1 and 3/7) becomes (21/8 times 10/7). This can be simplified to (105/8 times 10/7). We then multiply the numerators (105 * 10) and the denominators (8 * 7) resulting in 1050/56.

Now we can divide 33/14 by 1050/56. Division is the same as multiplying by the reciprocal of the second fraction. So 33/14 divided by 1050/56 is the same as 33/14 times 56/1050. We can simplify this by canceling common factors. After canceling, we are left with (33 * 8) / (2 * 15), which becomes 264/30. Finally, we can reduce this fraction to its simplest form by dividing the numerator and denominator by their greatest common factor, which is 6. So the final answer is 44/5.

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what is the answer to ( n+8) + (n-12)

Answers

(n + 8) + (n - 12)

Get rid of the parenthesis.

n + 8 + n - 12

Note : the (12) turns into a negative because a negative times a positive is always a negative :)

Combine like terms.

(n + n) + (8 - 12)

Simplify.

2n - 4

~Hope I helped!~

n+8+n+−12

Combine Like Terms:
n+8+n+−12

(n+n)+(8+−12)

2n+−4

Your final answer would be 2n−4

A rectangle is 12m longer than it is wide. Its perimeter is 68m. Find its length and width?

Answers

the width is 11m and the length is 23m

math question down below

Answers

5(x + 30)

x + 30 represents the number of minutes per day he practices
5 is the number of days he practices
so 5(x+30) = the total number of minutes he practices in 5 days

For example, if he practices the piano for 20 minutes per day and the violin for 30 minutes per day, he practices a total of 50 minutes per day. For 5 days that would be 5 x 50 = 250 minutes in 5 days.

Plug that into the equation
5(x+30) = 5(20+30) = 5(50) = 250

350$ at 3% for 10 years. What Is the
Interest earned?

Answers

If you are using continuous compound interest, the formula is A = Pe^RT where A= amount, P= principal value, R = the rate, and t = time. E is an actual number that is kinda hard to explain but it's just a button on the calculator.

In this case the equation would be A = 350e^(0.03)(10). This gives you approximately 472.4506 or approximately $472.45 since it's money and you round to the nearest penny.

the answer is $472.45

Mary Sue bought two dolls priced at 7.40 each. The tax was 0.98.She paid the clerk with a 20.00 bill. How much change should she get back

Answers

7.40 x 2 + .98= 15.78 if she pays with $20 than her change will be $4.22
Hope this helps :]

The kidneys are organs in the human body that have multiple functions. One critical function is to maintain the pH of the blood at a precise level. What biological process involves the maintenance of a constant internal environment?
A) homeostasis
B) lysis
C) metabolism
D) osmosis

Answers

a. homeostasis is the property of a system in which variables are regulated so that internal conditions remain stable and relatively constant.

<5 and <6 are vertical angles and m<5=33° find m<6

Answers

Answer: m∡6 = 33°.
________________________________________________
Since all vertical angles are congruent and have EQUAL measurements,

and ∡5 and ∡6 are vertical angles;

then, m∡5 = m∡6 .
________________________________________________
So; given m∡5 = 33° ; m∡6 = 33° .
________________________________________________

The measure of the angle 6 is 33°.

Given that, ∠5 and ∠6 are vertical angles and m∠5=33°.

What are vertical angles?

Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.

As we know, the vertical angles are congruent.

So, ∠5 = ∠6

⇒ ∠6 = 33°

Therefore, the measure of the angle 6 is 33°.

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Harry has 3 bamboo poles of different lengths. The total combined length of the three poles when placed end to end is 47 1/2 inches long. Pole B is 1 3/4 times as long as pole A and pole C is 2 1/2 inches longer than pole A. Find the length of Pole C

Answers

Final answer:

To find the length of pole C, we can set up a system of equations using the given information. Solving the system of equations will give us the values of the lengths of poles A, B, and C. The length of pole C is found to be 14.5 inches.

Explanation:

We can solve this problem by setting up a system of equations. Let's represent the length of pole A as 'a', the length of pole B as 'b', and the length of pole C as 'c'. We are given that pole B is 1 3/4 times as long as pole A, so we can write the equation b = 1.75a. We are also given that pole C is 2 1/2 inches longer than pole A, so we can write the equation c = a + 2.5.

Since the total combined length of the three poles is 47 1/2 inches long, we can write the equation a + b + c = 47.5. Now we have a system of three equations:

b = 1.75ac = a + 2.5a + b + c = 47.5

We can solve this system of equations to find the length of pole C. Substituting equation 1 and equation 2 into equation 3, we get:

a + 1.75a + (a + 2.5) = 47.5

Combining like terms, we get:

3.75a + 2.5 = 47.5

Subtracting 2.5 from both sides, we get:

3.75a = 45

Dividing both sides by 3.75, we get:

a = 12

Now that we know the length of pole A, we can substitute it into equation 1 to find the length of pole B:

b = 1.75 * 12 = 21

Finally, we can substitute the length of pole A and pole B into equation 2 to find the length of pole C:

c = 12 + 2.5 = 14.5

Therefore, the length of pole C is 14.5 inches.

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what is a decimal factor

Answers

a fraction where the denominator is the power of ten. you can write a decimal fraction with a decimal point, which make it easier to do calculations like multiplication and addition fractions

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