The intersection of a line segment's two endpoints is known as the midpoint. From the midpoint to one endpoint and the midpoint to the other endpoint, you will be given two equal distances.
The formula for calculating the midpoint is given below:
[tex] \boxed{ \bold{ \: \: M = \bigg(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\bigg) \: \: }}[/tex]For example, let us try solving this sample problem below using the midpoint formula:
Sample problem: A new transmission tower will be put up midway between two existing towers. On a map drawn on a coordinate plane, the coordinates of first existing tower are (-5, -3) and the coordinates of the second existing tower are (9, 13). What are the coordinates of the point where the new tower will be placed?
From inspection on the given problem:
[tex]\sf (x_1, y_1) = (-5, -3) [/tex][tex]\sf (x_2, y_2) = (9, 13) [/tex]Substitute the given values into the midpoint formula and solve for M:
[tex]\sf M = \bigg(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\bigg)[/tex][tex]\sf M = \bigg(\dfrac{-5 + 9}{2}, \dfrac{-3 + 13}{2}\bigg)[/tex][tex]\sf M = \bigg(\dfrac{4}{2}, \dfrac{10}{2}\bigg)[/tex][tex]\sf M = (2, 5)[/tex]Therefore, the coordinates of the point are (2, 5).
[tex]\\[/tex]
Now, wasn't that easy? Try this other sample problem:
The endpoints of a segment are (-5, 2) and (9, 12), respectively. What are the coordinates of its midpoint?From the sample problem above, you may solve it on your own to enhance your skill on calculating the midpoint.
Cheers!
Professor Baird wants to mix a solution
containing 10% acid with one containing 15%
acid to obtain a 20-ounce solution containing
12% acid. How many ounces of the 10% solution
should the professor use?
Answer:
The answer is 12 ounces :)
Step-by-step explanation:
man to be honest there is a girl i really like should i tell her how i feel
Answer:
I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.
a person whose height is 6 feet is walking away from the base of a streetlight
Please Help Me Solve This! I Need Help Now!
Correct Answer = Brainliest
Answer:
Switzerland tickets: $13.53
Japan tickets: $ 17.36
Step-by-step explanation:
Use the conjugate to divide1 - i / square root of 3 + 4i
Answer:
Step-by-step explanation:
(1 - i) / (sqrt(3 + 4i)
= (1 - i) / [tex]\sqrt{3 + 4i}[/tex]
=> multiply and divide by conjugate of denominator
= [tex](1 - i) / \sqrt{3 + 4i} * \sqrt{3 - 4i} / \sqrt{4 - 3i}[/tex]
= [tex](1 - i)*(\sqrt{3 - 4i} ) / (\sqrt{3 + 4i} *\sqrt{3 - 4i})[/tex]
= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - 16i^{2} )[/tex]
= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - (-16) )[/tex]
= [tex](1 - i) * \sqrt{3 - 4i} ) / \sqrt{25}[/tex]
= [tex](1 - i) * \sqrt{3 - 4i} / 5[/tex]
= [tex]\sqrt{(1 - i)^{2} } * \sqrt{3 - 4i} / 5[/tex]
= [tex]\sqrt{(1 + -1 -2i)*(3 - 4i)} / 5 \\\sqrt{-2i * (3 - 4i)} / 5\\\sqrt{-6i + 8*-1} /5 \\\sqrt{-6i - 8 } / 5[/tex]
If 24 people fit in 12 RVs,
How many people are in each RV?
Answer:
2 people per RV.
Step-by-step explanation:
24 / 12 = 2
write 65% as term fraction in its lowest a
Answer:
13/20
Step-by-step explanation:
65% = 65/100 = 13/20
Hoped this helped.
Answer:
13/20
Step-by-step explanation:
A cyclist travels 9.6 km in 30 minutes. What is his average speed in km/h?
Answer:
[tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]
Step-by-step explanation:
Average speed = distance/time
Average speed = [tex]\frac{9.6}{30} \frac{km}{min}[/tex] ; multiply by 60min/1hour
Average speed = [tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]
SOMEONE TELL ME WHAT THIS IS PLEASE ( much appreciated if you do help with this question )
Answer:
6x^8 y^5
Step-by-step explanation:
can someone give me the answer no explaining
Answer:
Greater than
Step-by-step explanation:
Answer:
5/3 is greater
Step-by-step explanation:
y+7=2(x+5) in standard form
Answer:
[tex]2x-y=-3[/tex]
Step-by-step explanation:
[tex]\mathrm{The\: standard\: form\: of\: a \:linear \:equation \:is}:\mathrm{A}x+\mathrm{B}y=\mathrm{C.}[/tex]
[tex]\underline{\sf{Solve\:for\:}y}:[/tex]
[tex]y+7=2(x+5)[/tex]
[tex]=y+7=2x+2\cdot5[/tex]
[tex]= y+7=2x+10[/tex]
[tex]=(y+7)+(-7)=(2x+10)+(-7)[/tex]
[tex]=y+7-7=2x+10-7[/tex]
[tex]\underline{y=2x+3}[/tex]
How many kilograms would the Beagle be?
33 kg
5 kg
15 kg
8 kg
WILL MARK BRAINLY NO BOTS
Answer:
I think it would be 15 kg I'm not sure
If it took 3 hours to clean 5 houses, how many houses could be cleaned in 9 hours?
(9u+w)^2
(use foil).................
Answer:
Step-by-step explanation:
(9u + w)(9u + w)
f: 9u * 9u = 81 u^2
o: 9u * w
i: 9u* w
l: w * w = w^2
Result
81u^2 + 9uw + 9uw + w^2
81u^2 + 18uw + w^2
Olivia has blue, pink and orange counters in a bag.
The ratio of blue to pink to orange counters is 4:5:2
(a) What fraction of the counters are blue?
(b) What fraction of the counters are orange?
Answer:
A. 4/11
B. 2/11
Step-by-step explanation:
Use the given values to find the fractions (4+5+2=11)
Blair's average on the first five in-class tests is 67. If this is not pulled up to at least a 70,
Blair will not be allowed to watch any more of their favorite Netflix shows. To avoid
losing those access privileges, what is the lowest score Blair can afford to earn on the last
in-class test? Assume that all tests carry equal weight.
Answer:
85
Step-by-step explanation:
x/5 = 67
x=335
(x+y)/6 = 70
(335+y)/6 = 70
335+y=420
y=85
Answer:
85
Step-by-step explanation:
Average is calculated as
average = [tex]\frac{sum}{count}[/tex]
Here
[tex]\frac{sum}{5}[/tex] = 67 ( multiply both sides by 5 )
sum = 335
let x be the mark required to raise average to 70 , then
[tex]\frac{335+x}{6}[/tex] = 70 ( multiply both sides by 6 )
335 + x = 420 ( subtract 335 from both sides )
x = 85
Blair must score at least 85 on his last test
Can someone please help me
Answer:
[tex]y = + - \sqrt[4]{ \frac{3}{2} x} [/tex]
Which value of m is a counterexample for the following statement?
If m is an odd prime number, then m + 2 is also prime.
7
3
5
9
11
Answer: 7
The prime numbers here are 3, 5, 7, and 11. This means that 9 is not prime. Since 7 +2 is 9, this disproves that m + 2 is also prime.
Would appreciate brainly <3
Answer:
true
Step-by-step explanation:
because you can start at zero and go on forever adding twos but it'll still be the same
HELPPPPPP PLSSSSSSSSS
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
Given, ∠POR=120
o
Hence, ∠POR=2∠PQR (half angle property)
∠PQR=
2
1
×120
o
=60
o
PQRS is a cyclic quadrilateral
∴∠PQR+∠PSR=180
o
∠PSR=180−60
∠PSR=120
o
help me with this please!?!?!?!?!
Answer:
17/4
Step-by-step explanation:
add the fractions
I need help in algebra
Answer: 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
How to solve
× + 5 = 13
subtract from both sides of the equation.
× + 5 - 5 = 13 - 5
13 - 5= 8
please give me brainliest and a thanks.
Where does the word logarithm come from.
Answer:
Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos
Need only #6 done (Show work) will give brainliest
Answer:
See belowStep-by-step explanation:
Statements | Reasons
C is the midpoint of AB | Given
AC = 2x + 1 | Given
CB = 3x - 4 | Given
AC = CB | Definition of midpoint
2x + 1 = 3x - 4 | Substitution property
3x - 2x = 1 + 4 | Addition property of equality
x = 5 | Proved
The line is as below:
A-----------------C----------------B
2x + 1 3x - 4
Pls help will give 10 pts
Answer:
276 guests
Step-by-step explanation:
Let the number of guests be n. We are to find the value of n.
Then (1/3)n + (5/12)n + 69 = n, or
(9/12)n + 69 = n or (12/12)n
Solving for n, we get (3/12)n = 69, or (1/12)n = 23, or n = 12(23) = 276
There were 276 guests at the wedding.
Check: Does (1/3)(276) + (5/12)(276) + 69 work out to 276? yes
If the simple interest on 4,000 for 10 years is 2,400 then what is the interest rate
Answer:
6%
Step-by-step explanation:
I =Prt I being interest paid, P is Principal, r is rate, t is term
2400=4000x r x 10
2400=40000r
2400/40000=.06 convert to percentage by multiplying by 100 x. 06=6
A candle is 14 inches tall. Once the candle is lit, it burns at a rate of 0.8 inches per hour. How many hours will the candle last?
Answer:
about 14 to 15 hours if it burns at that speed while it is burning
Answer:
17.5
Step-by-step explanation:
Find the value of the variable(s) in each figure explain your reasoning.
Answer:
...............................
miss tan has 20 boys and 15 girls in her English class.What percent of the student are girls?
Step-by-step explanation:
it's 42.85 percent that you can say 42 or maybe 43
Easy maths question 20 points and brainliest
Answer:
a = 2; b = 1 and c =3
Step-by-step explanation:
2(q +p) = 1 + 5q
2q + 2p = 1 + 5q
2p = 1 + 3q
2p - 1 = 3q
[tex]\frac{2p -1}{3} = q[/tex]
A group of 40 people goes to a football game. Each ticket to the game costs $55. Each person pays $8 for transportation to and from the game. What is the total cost for the 40 people to go to the game?
