What is the midpoint of the line segment?
Drag the coordinates to the boxes to correctly match the endpoints and midpoint
Answers
Using the midpoint concept, it is found that:
The midpoint of the line segment of endpoints [tex](2, \sqrt{3})[/tex] and [tex](-6, 5\sqrt{3})[/tex] is [tex](-2, 3\sqrt{3})[/tex].The midpoint of the line segment of endpoints [tex]\left(-\frac{5}{3}, \frac{2}{5}\right)[/tex] and [tex]\left(\frac{1}{3}, \frac{3}{2}\right)[/tex] is: [tex]\left(-\frac{2}{3}, \frac{19}{20}\right)[/tex]The midpoint of a line segment is given by the mean of the coordinates of it's endpoints.
For the first segment, which endpoints [tex](2, \sqrt{3})[/tex] and [tex](-6, 5\sqrt{3})[/tex]:
[tex]x_M = \frac{2 - 6}{2} = -2[/tex]
[tex]y_M = \frac{\sqrt{3} + 5\sqrt{3}}{2} = 3\sqrt{2}[/tex]
The midpoint is [tex](-2, 3\sqrt{2})[/tex]
For the second segment, which endpoints [tex]\left(-\frac{5}{3}, \frac{2}{5}\right)[/tex] and [tex]\left(\frac{1}{3}, \frac{3}{2}\right)[/tex]:
[tex]x_M = \frac{-\frac{5}{3} + \frac{1}{3}}{2} = -\frac{4}{6} = -\frac{2}{3}[/tex]
[tex]y_M = \frac{\frac{2}{5} + \frac{3}{2}}{2} = \frac{\frac{4 + 15}{10}}{2} = \frac{19}{20}[/tex]
The midpoint is [tex]\left(-\frac{2}{3}, \frac{19}{20}\right)[/tex]
A similar problem is given at https://brainly.com/question/24352869
Related Questions
The Phillipses traveled 717.2 miles to pick up their new boat. At the end of the trip, the odometer read
23,518.9 miles.
Answers
Answer:
what is the question?
Step-by-step explanation:
ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok
Explain in your own words the meaning of equivalent
ratios.
Answers
Answer:Equivalent ratios are ratios that make the same comparison of numbers. Two ratios are equivalent if one can be expressed as a multiple of the other.
Answer:
ratios that make the same comparison of numbers
Step-by-step explanation:
i hope thats good for u
At a store, a televisionset has a marked price of $25,000. However there is a vat of 17.5% paid on all purchases. How many will the customer pay in total for the tv set
Answers
Answer:
$29,375
Step-by-step explanation:
Find 17.5% of 25,000 and add it to 25,000 to get the total.
25,000x17.5% = 4,375
25,000 + 4,375 =
29,375.
a bread slicer runs 29 hrs per day for 30 days and slices 144,000 loaves of bread. how many loaves per hr are sliced?
conversions
Answers
Is it 4965 sph (slices per hour)
A student can solve 12 math problems in 45 minutes. How long will it take the student to complete 20 problems if all the problems take the same amount of time?
Answers
Answer:
75min or 1 hour 15min
Step-by-step explanation:
45/12 = 3.75min per problem
3.75 x 20 = 75min or 1 hour 15min
this question is bothering me help
Answers
Answer:
the First, third, and fifth
Step-by-step explanation:
Since one half of 12 is 6, then those three expressions will be the same since they have the same answer
Helpppppppppppppppp!!!!!!!!!!!!1
Answers
Answer:
There are no values of x that make the equation true. No Solution
Step-by-step explanation:
Answer:
4th option is correct
hope this helps ❤️
If you invest $7,000 for 5 years, and you earn 4% interest, how much interest overall
will you earn, assuming the interest is NOT compounding? (Hint: I=PRT)
Show your answer as a whole number (no decimals).
Answers
The interest earned in five years is $1400.
What is simple interest?
Simple interest is interest calculated on the principal portion of a loan or the original contribution to a saving account.
Formula for simple interestA = P(1 + rt)
Where,
A is the final amount
P is the initial principal balance
r is the annual interest rate
t is time(in years)
According to the given question
We have
Initial Principal balance, P = $7000
Time, t = 5years
Annual interest rate, r = 4% = 0.04
Therefore, the amount in five years is given by
A = 7000(1 + 0.04(5))
A = 7000(1 + 0.2)
A = 7000(1.2)
A = $8400
Now, the interest earned in five years
S.I = A - P
⇒ S.I = $8400 - $7000
⇒ S.I = $1400
Hence, the interest earned in five years is $1400.
Learn more about simple interest here:
https://brainly.com/question/17959107
#SPJ2
Wich relation is a function of x
Answers
Answer:
the first one
Step-by-step explanation:
In the other 2 i can see the x repeats itself meaning it isn't a function.
The area of Ms. McCarthy’s garden measures 600 square feet. She plants vegetables in 75% of her garden and flowers in the remaining section. What is the area of the garden that Ms. McCarthy plants with flowers?
Answers
25/100 x 600 = 150 square feet
Answer
25
Step-by-step explanation:
100% - 75% = 25%
25/100 x 600 = 150 square feet
The formula for the volume, V, of a sphere with radius r is V=(43)πr3. If the radius of a baseball is 113 inches, what is the volume to the nearest cubic inch?
A. 6
B. 8
C. 10
D. 14
15
Answers
The volume of the baseball, to the nearest cubic inch, is A. 6 inches³
The volume of a sphere is calculated by the formula:
= 4/3 x π x radius ³
A baseball is a sphere and in this case its radius is 1.13 inches.
The volume of the baseball is:
= 4/3 x 22/7 x 1.13³
= 4/3 x 22/7 x 1.442897
= 6.0464 inches³
To the nearest inch it is:
= 6 inches ³
In conclusion, the volume of the baseball is 6 inches.
Find out more at https://brainly.com/question/13010008.
(x - 3 ) ( 6x -2)
help plz
Answers
6x² - 20x + 6
Step-by-step explanation:
[tex]\begin{aligned}\tt\left(x-3\right)\left(6x-2\right)&=\tt 6x^2-2x-18x+6\\&=\tt 6x^2 -20x+6\end{aligned}[/tex]
Answer:
6x^2 - 20x + 6
Step-by-step explanation:
(x - 3) (6x - 2)
6x^2 - 18x - 2x + 6
6x^2 - 20x + 6
A random survey showed that 35 out of 52 people plan to vote for Mr Powell for Mayor. About how many people voted in the election, if 525 voted for Mr Powell
Answers
Answer:
780
Step-by-step explanation:
35 out of 52 people voted. You’d have to divide the total votes, 525 by the people that voted, so 35 which would equal 15.
Then, multiply 15 by the total of people that didn’t vote, 52, which would equal 780.
Answer:
780
Step-by-step explanation:
What is the slope intercept of a line that passes through points (-4,-1) and (-8,7).
Answers
Answer:
-2
Step-by-step explanation:
y2 - y1 / x2 - x1
7 - (-1) / -8 - (-4)
8/-4
= -2
find the slope of the line
Answers
Answer:
A. 3/4
Step-by-step explanation:
Find the 2 points, then count how many boxes it goes up and over to the second point.
What is the slope of a line perpendicular to the line y= -42 + 16
a. 1/4
b. -4
c. 4
d. -1/4
Answers
!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?
Answers
Answer:
Pythagorean Theorem: c2 = a2 + b2
Find the area by adding the areas of the three triangles. The area of a right triangle is: A = ½bh
Two triangles are identical so you can just multiply the area of the first triangle by two: 2A1 = 2(½bh) = 2(½ab) = ab.
The total area of the trapezoid is : A1 + A2 = ab + ½c2
You multiply both sides by 2 to get rid of the ½: (a2 + 2ab + b2) = 2ab + c2
You subtract out the 2ab: a2 + b2 = c2.
Then what is left is the proof: a2 + b2 = c2
Find the z value that corresponds to the given area in the figure below.
Answers
We are given 0.3770. Since the number is behind 0 on the normal distribution curve, we can infer that 50% of data lies between the left side of the curve to the middle.
Subtracting 0.377 from 0.5, we get 0.123. Looking at our z-scores table (Table A Standard normal probabilities from AP Stats), we can see that -1.16 is closest to our desired value at 0.1230. Thus, z should be -1.16.
What is an equation of the line that passes through the point (-8, -1) and is
parallel to the line x – 4y = 4?
Answers
Answer:
y = 1/4x + 1
Step-by-step explanation:
x - 4y = 4
x - 4 = 4y
1/4x - 4/4 = y
1/4x -1 = y
Slope: 1/4
Point: (-8,-1)
y-intercept = -1 - (1/4)(-8)=
-1 + 2 = 1
if 42 watts are used in 3 seconds how many watts are used per second?
Answers
Answer:
14 watts per second
Step-by-step explanation:
42 watts/3 seconds=14 watts per second
Have you ever wished to be a different gender than yourself?
Why or why not?
Answers
Answer:
No
Step-by-step explanation:
Because I feel whatever gender you are born ,you where born that gender for a reason .
Answer:
Yes.
Step-by-step explanation:
I have always wanted to be a boy, my personality isn't fit for a girl, I act like a boy, I look like a boy on the outside and feel like one on the inside, plus I wouldn't have to be through as much bullying and pain in my life, maybe I would have had a better life then :-(
what is the answer to 95x-45+-8x[67=
Answers
Answer:
Combine Like Terms:
=95x+−45+−536x
=(95x+−536x)+(−45)
=−441x+−45
Step-by-step explanation:
I NEED SOME HELP! Please? Lines a and b lie in the standard (x,y) coordinate plane. An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of line a. What is the slope of line b?
0.35
0.05
0.015
3.0
500
In the standard (x,y) coordinate plane, which of the following lines are perpendicular to the line 2y = 3x + 1?
y = - 2/3x + 3
y = -3/2x - 1
y = 2/3x - 1
y = 3/2x + 2
y = 2/3x + 1
Answers
a. Just add 0.2 to 0.15 in equation a. y = mx + b shows that m is the slope. Answer would be 0.35.
b. 2y = 3x + 1
y = 3x/2 + 1/2
Perpendicular = negative reciprocal of original function's slope.
3/2 -> -2/3x.
Only the first one fulfills the equation, thus:
-2/3x + 3.
(1) The slope of line b is 0.35. The correct option is A.
(2) The equation perpendicular to the line y = - 2/3x + 3. The correct option is A.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
(1) An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of the line.
The slope of line b,
b = 0.2 + a
b = 0.2 + 0.15
b = 0.35
(2) The equation of the line perpendicular to the line 2y = 3x + 1 is calculated as:-
The slope of the line perpendicular to the other line is the opposite reciprocal. The equation will be,
y = -2/3x + 3
To know more about an equation of the line follow
https://brainly.com/question/18831322
#SPJ2
I need help please LOL
Answers
How many pounds of flour is required to make
7 cakes if 1 cake takes 1 ½ lbs
Answers
Answer:
10 1/2 pounds are needed.
Step-by-step explanation:
7 x 1.5 = 10.5
Please answer quick hw due tonight
1/3 is what percent of 2/3 and explain the full thing and work it out
Answers
Answer:
50%
Step-by-step explanation:
2/3 * 0.5 = 1/3
0.5 = 50%
PLEASE MARK AS BRAINLIEST!!!!!Nine hundred sixty seven divided by four with remander
Answers
Answer:
240
Step-by-step explanation: If this helped pls give this Brainliest answer.
Answer:
967÷4= 241 r 3
Step-by-step explanation:
BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY!!!
Answers
Answer:
x= 10,-2 (so basically x=10)
Step-by-step explanation:
Input each answers
Answer:
x=10
Step-by-step explanation:
10-3=7
10-5=5
7*5=35
If Michael made 12 shots out of 18 what is the percentage of shots made by him?
Answers
Answer:
At least 66%
Step-by-step explanation:
65% of 18 is 11.7
67% of 18 is 12.06
Therefore, at least 66% of the shots where made by Michael.
Step-by-step explanation:
100% = 18
x% = 12
x% = 100% / 100 × x
so,
18/100 × x = 12
18x = 1200
x = 1200/18 = 200/3 ≈ 66.66666...
so, he made about 67% of the shots.
Can you help me on 16, 17, 18, 19, and 20
I will mark brainliest
I will report for spam, stealing points, and links
Answers
Answer:
16. C 17.A 18.D 19.c
hope this helps