Answer:
The coordinates of P are (12,9)
Step-by-step explanation:
Equations
We are given the endpoints of the segment AB: A(10,8) B(18,12).
It's required to find the coordinates of point P(x,y) along the segment AB such that:
[tex]\displaystyle \frac{AP}{PB}=\frac{1}{3}[/tex]
The ratio of the distances is the same as the ratio of their respective coordinates:
[tex]\displaystyle \frac{x_{AP}}{x_{PB}}=\frac{1}{3}[/tex]
[tex]\displaystyle \frac{y_{AP}}{y_{PB}}=\frac{1}{3}[/tex]
Since
[tex]x_{AP}=x_P-x_A=x-10[/tex]
[tex]x_{PB}=x_B-x_P=18-x[/tex]
Then:
[tex]\displaystyle \frac{x-10}{18-x}=\frac{1}{3}[/tex]
Multiplying by 3 (18-x):
3( x - 10 )= 18 - x
3x - 30 = 18 - x
Adding x and 30:
4x = 48
x = 12
Similarly:
[tex]\displaystyle \frac{y-8}{12-y}=\frac{1}{3}[/tex]
Multiplying by 3 (12-y):
3( y - 8 ) = 12 - y
3y - 24 = 12 - y
Adding y and 24:
4y = 36
y = 9
The coordinates of P are (12,9)
If a gun fires 88 rounds per minute, how many rounds would it fire in 45 minutes?
Answer:
3960
Step-by-step explanation:
1minute = 88rounds
45minutes = xrounds
1/45 = 88/x
45(88)= 3960
3960/1 = 3960
x = 3960
The gun fires 3960 rounds in 45 minutes.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.
Let x rounds would it fire in 45 minutes
As per the situation, we can write the proportion would be as:
1 minute : 88 rounds = 45minutes : x rounds
⇒ 1/88 = 45/x
Apply the cross-multiplication, and we get
⇒ x = 45(88)
⇒ x = 3960
This means a gun fires 3960 rounds in 45 minutes.
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Solve the linear equation -3x + 3= 12
Answer:
x = -3
Step-by-step explanation:
-3x = 9
x = -3
Answer:
x=-3
Step-by-step explanation:
i subtracted 3 from both side then i divdeed -3 from both side of the equation
Estimate the value of the square root
/20
Answer:
about 5
Step-by-step explanation:
Sara compra 3 naranjas a Q 2.00 cada una. Compra un melón a
Q 12.00 y quiere comprar 4 manzanas, tomando en cuenta que la
docena de manzanas cuesta Q 24.00. ¿Cuánto gastó en total por las 3
naranjas, el melón y las 4 manzanas?
Respuesta:
29.00
Explicación:
una naranja 3.00
un melón 12.00
una manzana 2.00 (porque una docena equivale 12 artículos; 24/12 es 2)
tres naranjas 3(3.00) = 9.00
un melón 12.00
cuatro manzanas 4(2.00) = 8.00
9.00 +12.00 +8.00
29.00
HELP ME PLZZZZZZZZZZZZZZZZZZZZZZ
Answer:
12345678910
Step-by-step explanation:
Select all of the descriptions which describe a transformation of the graph of f(x)=x that could result in
the graph of g(x) = 2x.
A. The graph is translated 2 units to the right.
B. The graph is rotated about (0,0), becoming steeper.
C. The graph is vertically stretched.
D. The graph is translated 2 units up.
E. The graph is vertically shrunk.
F. The graph is reflected across the x-axis.
Answer:
The descriptions that apply are E and F.
Step-by-step explanation:
Let's graph both functions, attached the result:
A: No. The graph is not reflected across x-axis. For this to happen, there should be a negative sign: g(x) = -x, for example
B: No, the graph doesn't translate. The graph only translates if there is: g(x) = a(x-c)+b, where b defines the vertical translation, and c the horizontal one.
C: No. This would happen for g(x)=x/2, for example.
D: No. Check the explanation of B.
E: Yes. The graph rotates due to the factor of 10. This rotation only applies for straight lines.
F: Yes. It stretched.
Convert 1,500 grams to kilograms.
Answer:
1.5 kilogram
Step-by-step explanation:
what is the value of q in the equation 3(q+4/3) =2
Step-by-step explanation:
3q+(3×4÷3)=2
3q+4=2
3q=2-4
3q=-1
q=-1÷3
If you poured 15 teaspoons of salt into an empty graduated cylinder, about how many milliliters would it fill?
Answer:
About 75
Step-by-step explanation:
Answer:
1 cubic millimeter = (about) 0.000202884 us spoons
Then you can use multiplication to solve it.
Step-by-step explanation:
hi, im new can I get marked as brainlieser? Im not forcing you but it would be highly appreciated.
Hope my answer helps :)
Liam volunteers to help plan the event. The first month, he volunteered for x hours. The next month, he volunteered for 2 times as many hours as he had the first month. If he volunteered for a total of 30 hours, how many hours did he volunteer during the first month? Write an equation to represent the situation and solve.
Answer:
nnnnnnnnnnnnoooo clueeeeeeeeee
Step-by-step explanation:
Answer:
the equation would be x+2x=30. to solve you combine 2x and x to get 3x=30 then divide both sides by 3 to get x=10 hours in the first month.
Step-by-step explanation:
AB=CD what is the property
A shop sells packets of envelopes.
There are 5 envelopes in a small packet.
There are 20 envelopes in a large packet.
There is a total of T envelopes in x small packets and y large packets.
Write down a formula for T in terms of x and y.
9514 1404 393
Answer:
5x +20y = T
Step-by-step explanation:
There are 5 envelopes in each of x small packets, for a total of 5x envelopes in small packets.
There are 20 envelopes in each of y large packets, for a total of 20y envelopes in large packets.
The total number envelopes is then ...
T = 5x +20y
Simplify 5a-3a+2a
What is the answer
Answer:
10a
Step-by-step explanation:
Please only answer if you know the answer
Don’t say dumb stuff or just lie and about the answer or just put Radom words please
Is -23.4 greater or less than 23.4
Answer:
No 23.4 is greater
Step-by-step explanation:
-23.4 is negative so that means it is less than 0
Brainliest and 5 stars for the taking!!!
Use synthetic division to solve.
Answer:
so The answer would be the last one, I did the math, difficult stuff here gem lol, i almost got stumped O.O
Step-by-step explanation:
the answer that you have chosen was wrong but the answer that the upper number that has to be divided by x+6 leaving only 1 answer left that involves addition in the denomonatior
for which division problems is 54 the quotient write those divison problems in the box
Answer:
what?
Step-by-step explanation:
The division problems for which 54 is the quotient are, 2430÷45 and 594÷11
What are quotient?The number we obtain when we divide one number by another is the quotient.
Given are the numbers, we need to find which one of them gives the quotient of 54
When we divide 2430÷45, we will get 54
And, 594÷11 = 54
Hence, The division problems for which 54 is the quotient are, 2430÷45 and 594÷11
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A game board with 17 spaces. Start, green, green, star, quesiton mark, question mark, star, question mark, green, cat town, green, green, star, question mark, green, green, star, green, end.
You are playing a board game and your playing piece begins the game at START. You roll a single number cube numbered 1 to 6 to find out how many spaces you can move.
What are the possible outcomes of your first roll?
Answer:
2/3
Step-by-step explanation:
How do you know whether two quantities x and y are proportional?
1. Every ratio yx for related pairs of x and y is equivalent.
2. Every sum x + y is the same for related pairs of x and y.
3. Every x term is a multiple of the previous term.
4. Every difference x – y is the same for related pairs of x and y please help me
Answer:
The correct answer is:
1. Every ratio yx for related pairs of x and y is equivalent.
Step-by-step explanation:
Proportion is defined as the relationship between two quantities. When one quantity changes the other is also changes.
For two quantities y and x when we say that both are proportional then t can be written as:
y∝x
Removing the proportionality symbol introduces a constant which is the ratio of y and x.
[tex]\frac{y}{x} = k[/tex]
This ratio of y and x, i.e. k is equivalent for all related pairs of x and y.
Hence,
The correct answer is:
1. Every ratio yx for related pairs of x and y is equivalent.
Find the equation of the line that has a slope of 2
and passes through the point (5, -8). Write the
equation in point-slope form.
Answer:
The equation in the point-slope form will be:
[tex]y-(-8) = 2 (x-5)[/tex]
Step-by-step explanation:
The point-slope form of an equation is written as:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope, and (x₁, y₁) is a point on the line.
Now, we will substitute the values of m and (x1, y1) in the given equation. Here,
m=2
and
(x1, y1) = (5, -8)
x1 = 5
y1 = -8
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-(-8) = 2 (x-5)[/tex]
Therefore, the equation in the point-slope form will be:
[tex]y-(-8) = 2 (x-5)[/tex]
PLEASE HELP ME!!! 25 points!!!
What do we mean when we say like terms? what do we mean when we say combining like terms? how do polynomials demonstrate the closure property under addition and subtraction?
1. like terms are basically terms that have the same variables and powers.
2. We call terms "like terms" if 2 numbers have the same variables.
3. Polynomials form a system similar to the system of integers, in that polynomials are closed under the operations of addition, subtraction, and multiplication. Polynomials will be closed under an operation if the operation produces another polynomial. Polynomials are closed under subtraction.
Write am equation in slope-intercept form of a line traveling through (-2,4) and (6,0).
Answer:
y = 1/2x + 5
Step-by-step explanation:
4-0/6+2
4/8 = 1/2
y=mx+b
4=1/2(-2)+b
4 = -1 +b
Add 1 to -1 to cancel out and add 1 to 4 to get 5
y = 1/2x+5
Suppose a line segment whose endpoints are T(x 1 ,y 1 ) and U(x 2 ,y 2 ) is reflected over y=x to create T’U’. The coordinates of the image are T’(-4,3) an U’(1,7). What are the values of x 1 x 2 y 1 and y 2?
Answer:
I have no clue and im a junior im so sorry your teach sucks
Answer:
same bro
Step-by-step explanation:
A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the height h (in feet) of the football at time t (in seconds). Which statement about the height of the football is true?
A. The football does not reach a height of 15 feet.
B.The football reaches a height of exactly 15 feet.
C. The football reaches a height that is greater than 15 feet.
Answer:
25
Step-by-step explanation:
What is the measure of angle a?
A) 54
B) 46
C) 126
D) 136
Answer:
Step-by-step explanation: 54+54=108
360-108=252 divide by 2
Answer:
C
Step-by-step explanation:
a and 54° are adjacent angles and are supplementary, thus
a = 180 - 54 = 126 → C
Alex rode his bike 25 kilometers. About how many miles did Alex ride his bike?
Answer:
Alex rode 15.5343 miles in his bike
Step-by-step explanation:
1 kilometer is 0.621371 miles, multiply 0.621371 with 25. Hope this helps!
Alex rode his bike for 15.535 miles.
What is unit conversion?Unit conversion means the conversion between different units and measurements of the same quantity done by the process of multiplication or division.
Given
Alex rode his bike 25 kilometers
1 kilometer = 0.6214 miles
25 kilometers = 0.6214 × 25 = 15.535 miles
Hence, ride distance is 15.535 miles.
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PLEASE HELP FAST.....WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answer:
the answer is tooluth in thehehehehehehehe tooluth
Answer: x = 9
Step-by-step explanation:
81 = 7x + 18
- 18
63= 7x
63/7 = x
9 =x
The dimensions of a rectangular prism are 24 ft x 20 ft x 15 ft. What is the surface area
Answer:
2280 ft^2
Step-by-step explanation:
A rectangular prism has 6 faces. Each pair of opposite faces is congruent.
surface area = 2LW + 2LH + 2WH
surface area = 2(24 ft)(20 ft) + 2(24 ft)(15 ft) + 2(20 ft)(15 ft)
surface area = 960 ft^2 + 720 ft^2 + 600 ft^2
surface area = 2280 ft^2
What is the sum of the first eight terms in this series?
2+10+50+250+.....
Answer:
C.195312
Step-by-step explanation
The sum of geometric sequence 2,10,50... up to 8 terms is 195312. Therefore, option C is the correct answer.
The given geometric sequence is 2+10+50+250+.....
What is the sum of the geometric sequence formula?Sum of the geometric sequence is S = a + ar + ar² +....+ [tex]ar^{n-1}[/tex].
The first term of the series is a and the common ratio is r.
The sum of the geometric sequence formula is [tex]S_{n} =\frac{a(r^{n} -1)}{(r-1)}[/tex] .
Now, a=2
To find r,
r = 10/2
r = 5 and n = 8
S = 2 ([tex]5^{8}[/tex]- 1) / (5 - 1)
S = 2(390625 - 1) / 4
S = (390624) / 2
S = 195312
Therefore, the sum of geometric sequence 2,10,50... up to 8 terms is 195312.
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pentru a culege nectar 45 de albine au vizitat, intr-o singura exeditie, unele 60 flori, iar altele 75 de flori . Stiing=d ca au vizitat imreuna 3120 de flori , sa se afle cate albine au vizitat cate 75 de flori.
URGENT!!
de flori 73834
Step-by-step explanation: