Answer:
The midpoint of the line segment is located at (-4, 4).
Step-by-step explanation:
We're given the coordinate points of a line that can help us find the midpoint.
The midpoint formula for a line is written as:
[tex]\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)[/tex]
Additionally, we are given the coordinate points (5, -4) and (-13, 12). We can use these and label them with the (x, y) system so we can substitute them into the formula.
In math, a coordinate pair is written as (x, y). This is where cos = x and sin = y. If we are given two coordinate pairs, we can label them with the (x, y) system but also incorporating a subscript to distinguish the two x-values from each other as well as the y-values. We do this by turning the two x-values into x₁ and x₂ and the y-values follow the same protocol: y₁ and y₂.
Therefore, we can label our two coordinates:
(5, -4)
x₁ = 5y₁ = -4(-13, 12)
x₂ = -13y₂ = 12Now, we can place these values into the midpoint formula and simplify to find our midpoint.
Recall that the midpoint formula is:
[tex]\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)[/tex]
Therefore, let's substitute these values.
[tex]\displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)\\\\\\\big(\frac{5 + (-13)}{2}, \frac{(-4)+12}{2}\big)\\\\\\\big(\frac{-8}{2}, \frac{8}{2}\big)\\\\\\\boxed{(-4, 4)}[/tex]
Therefore, the midpoint of the line segment is located at (-4, 4), which is Option A.
Answer: Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:
(x1 + x2)/2 , (y1 + y2)/2)
(5 + -13) / 2 , (-4 + 12) / 2)
( -8 / 2 , 8 / 2)
(-4 , 4)
So the answer would be A)
(-4, 4)
Explanation:
let ( x,y) be the midpoint of the line segment, then x = 5+(-13) / 2 = -8/2 = -4 and y = -4+(12 ) / 2 = 8/2 = 4, the mid point is ( -4,4)
Winter Temperatures
One winter day, the temperature in Houston is 8° Celsius. Find the
temperatures in these other cities. Explain or show your reasoning.
1. In Orlando, it is 10° warmer than it is in Houston.
2. In Salt Lake City, it is 8° colder than it is in Houston.
3. In Minneapolis, it is 20° colder than it is in Houston
Answer:18 , for the first one
Step-by-step explanation: because 10+8= 18
Two mathematicians were both born in the last 500 years. Each lives (or will live) to be 100 years old, then dies. Each mathematician is equally likely to be born at any point during those 500 years. What is the probability that they were contemporaries for any length of time
Answer:
The answer is "0.36".
Step-by-step explanation:
we assume, that they are not blood-relatives, then we need both the dates (birth and death)
Births between 1512 and 2012 may occur at any time, and all of the math forms are what we have to be born at least 100 years apart.
Pr(Mathematician 1 is born inside an interval of 1512-2012 on a particular year)= [tex]\frac{1}{50000}[/tex])
Mathematician 2 born in 1512-2012 interval on every specific year) = [tex]\frac{1}{50000}[/tex]
S Year of birth'
After that, We need to find all of the years of absolute value (birth the year Mathematician 1-birth year of Mathematician 2) <= 100 or give the probability of this happening.
Prob(Mathematician 1 birth between 1512-2012 in a specific group of 100 years):
[tex]\to \frac{100}{500}=\frac{1}{5}[/tex]
For just a mathematician, are using the same rationale 2.
By using fact for freedom now Pr(that the dual births are divided by 100 years)) = 1-Pr(they are divided by more than 100 years):
[tex]\to 1- (\frac{400}{500})^2 \\\\\to 1- (\frac{4}{5})^2 \\\\\to 1- \frac{16}{25}\\\\\to \frac{25 -16}{25}\\\\\to \frac{9}{25}\\\\\to 0.36[/tex]
Addilyn received 300 of the most popular beads for her birthday.
There are 30 beads per package. How many packages did she receive?
1. a = 300 + 30
2. a = 300 x 30
3. a = 300 divided by 30
4. a = 300 - 30
Answer:
3. a=300/30
Step-by-step explanation:
you want to figure out how many packages she received, and there are 30 beads in each package. so, you divide the total amount of beads (300) by the amount in each package to determine how many packages there are. 300/30=10 packages of beads
help please ill mark brainliest
Answer:
your right that the right answer
Answer:
last one is right please please please mark me brainliest if apreciated
Step-by-step explanation:
What is the correct answer?!
HELP FAST!
Answer:6.66
Step-by-step explanation:
I’m pretty sure its infinite if not just putt that answer
Answer: 84 r4
Step-by-step explanation:
I think that is correct.
[Shapes]
How many degrees is ZA’BC in this cube?
please help me i don't understand
Whats the answer to -6(12p - 8n) in distributive Property?
Answer:
−72p+48n
Step-by-step explanation:
In the figure above, AC = BC. If m
Answer:
80 degrees
Step-by-step explanation:
since ac and bc equal each other, it is an isosceles triangle. due to that, the measure of angle a and b are 50. so the measure of angle c is 80. due to some theorem, angle ecd is equal to angle acb. so ecd = 80
if you divide a polynomial of degree 7 by a polynomial of degree 2, the quotient will be a polynomial of degree ___
Answer:
5
Step-by-step explanation:
When dividing degrees, you subtract. Ex: x^6/x^1=x^5
Could u help me !! Plz I will gave Brainliest
Answer:
1.) 120.722222206 or 120.72
2.) 650.250000382 or 650.25
Step-by-step explanation:
Cherise plays basketball. The list shows the number of points she scored in each of her last six games. 12. 16. 10. 26, 14, 12 What is the mean number of points Cherise scored? O A 12 B. 13 C. 15 D. 16
anser:15
Step-by-step explanation:first add 12+16+10+26+14+12=90divide by how mnay numbers in this case 6 90 divied=15
Mean of given dataset is 15.
What is mean?It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list is called mean.
Given dataset
12, 16, 10, 26, 14, 12
Mean = [tex]\frac{12+16+10+26+14+12}{6}[/tex]
= [tex]\frac{90}{6}[/tex]
= 15
Mean of given dataset is 15.
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Can someone please help this exam is timed!!
all real numbers
all real numbers greater than or equal to -2
all real numbers greater than or equal to -5
all real numbers greater than or equal to 0
Answer:i think all real numbers greater than or equal to -2
Step-by-step explanation:
hope this helps
solve for x parallel
Answer:
25
Step-by-step explanation:
3x - 5 = 2x + 20 ( corresponding angles)
3x - 2x = 20 + 5
x = 25
PLEASE PLEASE HELP ME
The distance on a map from Lynchburg to Houston is 5 in. The scale on the map is 1/2 in = 100 mi. What is the actual distance?
A) 100 mi
B) 10,000 mi
C) 1000 mi
Answer:
1,000 miles
Step-by-step explanation:
set up the equation as
100x = d
where x equals the number of half inches between two points on the map
and d equals the distance between those points in real life
5 inches = 10 half inches so, plugged in the equation looks like
100(10) = d
simplify it to
1000 = d
and bam, the real distance is 1,000 miles
Round this number to the nearest thousand
13,278
Answer:
13,000................
Answer:
13,000
Step-by-step explanation:
Its 13,000 because that 2 changes into a 3 but three isn't over 5.
Autumn plans to run 14 miles. She ran 5 & ⅔ miles and then stopped for a water break. How many miles does Sally have left to run?
Answer:
7 and 1/3 miles
Step-by-step explanation:
what is the answer to 3(-4x-5)
Answer:
-12x -15
Step-by-step explanation:
3(-4x-5)
3*-4x -3*5
-12x -15
Answer:
-12x-15
Step-by-step explanation:
expand and simplify
-12x-15
Does anybody know what (20x30)+10 to the second power is?
Answer:
372,100.............
Answer:
[tex]372100[/tex]
Step-by-step explanation:
A number to the [tex]x[/tex] power represents [tex]x[/tex] amount of times the number is multiplied by itself. To the second power means that the number is multiplied by itself twice.
[tex][(20\times30)+10]^2 = 610^2[/tex] (first work on terms inside parentheses)
[tex]= 372100[/tex] ([tex]610^2 = 610\times 610[/tex])
Hope this helps :)
Evaluate each expression if a = 3, b = 5, and c = 1.
what is ac + b
Answer:
a = 3, b = 5, and c = 1.
what is ac + b=8 answer
Step-by-step explanation:
a(c)+b
3(1)+5
3+5= 8
The required solution is 8 when substituting the values of a = 3, b = 5, and c = 1.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
ac + b
We have to determine the evaluation when a = 3, b = 5, and c = 1.
As per the question, we have
⇒ ac + b
Substitute the values of a = 3, b = 5, and c = 1 n the above expression,
⇒ 3(1) + 5
⇒ 3 + 5
Apply the addition operation, and we get
⇒ 8
Thus, the required solution is 8.
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A town has a population of 3000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the population will reach 4700?
Answer:
14.2 years
Step-by-step explanation:
The town grows 4% (0.04) every year.
3000 x 0.04 = 120, so the town gains 120 people every year.
The town needs 1700 more people to get to 4700.
So, 4700/120= 14.1666666667
That rounds up to 14.2 years.
Hope this helped :)
what’s the slope of the line?
Answer:
-10/3 or -3 and 1/3
Step-by-step explanation:
you can do y1-y2 over x1-x2 of two points
or you can count the rise oiver run from (5,-5) to (2,5) which is 10/3
but its negative slope cause your going back 3 to the left
The cost of one apple and one banana at the school canteen is $1 and the cost of 3 apples and 2 bananas is $2.40. Find the cost of a single banana, using simultaneous equation, elimination method. Show full working out.
Answer:
I don't know
I don't know
The radius of a circle is 7 cm. Find its area in terms of \piπ.
Answer:
153.94cm²
Step-by-step explanation:
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]Area = \pi \times ({radius})^{2} [/tex]
[tex]Area = \pi \times ({7})^{2} [/tex]
[tex]Area = \pi \times 49[/tex]
[tex]Area = 49\pi[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
bus a leaves every 30 mins
bus b leaves every 20 mins
at 10 am both buses leave the station together
work out the next time they will leave at the same time
Answer:
Step-by-step explanation:
Find the LCM of 30 & 20
30 = 2 * 5 * 3
20 = 2 * 2 * 5
LCM = 2 * 3 * 2 * 5 = 60
60 minutes = 1 hour
So, again at 10am both will leave at the same time
Answer:
11 am.
Step-by-step explanation:
That would be the LCM of 20 and 30 which is 60 minutes.
So the nexrt time will be 10.00 + 60 mins
= 11.00 am.
can someone please help me out on this
Answer:
a.
Step-by-step explanation:
for A, put a dot on (0,2) and (1,5) and connect them (arrow should be pointing up)
then make another line by plotting a dot on (0,-2) and (1,-4) (arrow should be pointing down)
since the < and > have an equal to (_) line at the bottom, the point/dot at (0,2) and (0,-2) have to be filled in
Conrad hires a band to pl ay for his graduation party. The band charges a flat fee of $200, plus $125 per hour after the first hour. Which equation best describes the cost, c, of the band in relation to the time, t, that they play?
my brain is very where, i don’t understand this please help me
FIREWORKS The designers of a fireworks display want to have four fireworks travel along parallel trajectories. They decide to place two launchers on a dock and two launchers on the roof of a building. To make this display work correctly, what should the measure of angle 1 be? Explain.
Answer: 80°; the supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle this means that the supplementary angle to the 30° angle and ∠1 is a 70° angle therefore 30°+m ∠1+ 70° equals 180°. So, m ∠1= 180°.
Step-by-step explanation:
The measure of angle 1 should be 80 degrees.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.
Then its meaning; supplementary angles are aligned adjacent to each other, and their exterior sides will make a straight line.
The supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle which means that the supplementary angle to the 30° angle and ∠1 is a 70° angle.
Therefore 30° + m ∠1 + 70° = 180°.
100 + m ∠1= 180°.
So, m ∠1= 80°.
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5th grade math. Correct answer will be marked brainliest.
Answer:
i think its 7
Step-by-step
if the jeans were $3.50 and she bought 2 just do 3.50x2 and you will get 7
Ramu worked 8 hours and got 400 rupees as wages. Benny worked 6 hours and got 300 rupees.
Are the wages proportional to the hours of work?
Answer:
Step-by-step explanation:
Son directamente proporcionales porque cuanto mas horas trabajes mas dinero ganaras