Find the coordinates of point P that partition AB in the
ratio 1:4.
Please give explanation
Answers
Answer:
(1.6, 0)
Step-by-step explanation:
Point P, partitioning AB in the ratio 1:4, implies that it divides AB into, AP and PB, such that AP to PB = 1:4.
Use the formuka below to find the coordinates of point P:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] A(1, -1) = (x_1, y_1) [/tex]
[tex] B(4, 4) = (x_2, y_2) [/tex]
[tex] m = 1, n = 4 [/tex]
Solve by plugging the above values where necessary as follows:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{1(4) + 4(1)}{1 + 4} [/tex]
[tex] x = \frac{4 + 4}{5} [/tex]
[tex] x = \frac{8}{5} [/tex]
[tex] x = 1.6 [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{1(4) + 4(-1)}{1 + 4} [/tex]
[tex] y = \frac{4 - 4}{5} [/tex]
[tex] y = \frac{0}{5} [/tex]
[tex] y = 0 [/tex]
The coordinates of P that partitions AB into the ratio 1:4 are (1.6, 0)
Related Questions
I NEED HELP ASAP SOMEONE HELP ME PLEASE, I MEDD SOMEONE WHO CAN HELP ME WITH THE REST OF MY QUESTIONS
Answers
Answer:
Step-by-step explanation:
K(0 , 4)
Midpoint M (3 , 3)
Let Point L(x₂ , y₂)
[tex]Midpoint= (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\\\\\\ (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}) = (3 , 3)\\\\\\ (\frac{0+x_{2}}{2},\frac{4+y_{2}}{2}) = ( 3 , 3)\\\\\\[/tex]
Compare x and y coordinates
[tex]\frac{x_{2}}{2}=3 ; \frac{4+y_{2}}{2} = 3[/tex]
Cross multiply,
x₂ = 3*2 ; 4 + y₂ = 3*2
x₂ = 6 ; 4+ y₂ = 6
y₂ = 6- 4
y₂ = 2
L(6 , 2)
Answer:
6,2
Step-by-step explanation:
I don't think you want to know how I did it, it's pretty boring for most people except me
Marcus collected 5 fewer rocks than esha How many rocks did Marcus collect if esha collected 22 rocks?
Answers
Answer:
17
Step-by-step explanation:
Answer:
22-5=17 the answer is 17
.
Ms. Lady works-out with Ms. Beetle; her average
crawling time has increased to 4 feet per minute, while
Ms. Beetle, who is used to eating Hot Cheetos and
watching TV, averages 2.5 feet per minute. While at
Senn's Elm Tree-house, the three decide to experiment
with linear equations. The objective is to end up at the
Rose Bush at the same time. Senn still averages 5 feet per
minute. How much of a head start does he need to give
each of his friends in order for their function rules to
intersect at 92 feet (the rose bush). What is the equation
for each bug which makes their experiment successful?
Create a table and graph representing the situation.
Answers
Answer: Please find the attached file for the graph and find the answer in the explanation
Step-by-step explanation:
Let first calculate the normal time each of them will reach the 92 feet distance.
For senn
Time = 92/5 = 18.4 minutes
That means in 18.4 minutes the two other friends must reach the point at 92 feet.
Calculate the distance at the time for each of the friends.
For Ms Lady
Time = 92/4 = 23 minutes
Distance = speed × time
Distance = 4 × 18.4 = 73.9
92 - 73.6 = 18.4 feet
For Ms Beetle
Time = 92/2.5 = 36.8 minutes
Distance = 2.5 × 18.4
Distance = 46 feet
92 - 46 = 48 feet
Therefore, Senn must give a head start of 18.4 feet for Ms Lady
And 48 feet for Ms Beetle in order for their function rules to intersect at 92 feet (the rose bush).
Their equation will be
Ms Lady
Y = 4x + 18.4
Ms Beetle
Y = 2.5x + 48
Ms Senn
Y = 5x
Answer:
Chips are good!
Step-by-step explanation:
Identities in maths 4sin30°cos45° What is the answer?
Answers
Answer:
[tex]4*1/2*\sqrt{2} /2=\sqrt{2}[/tex]
Step-by-step explanation:
3. Machine A packs 4, cartons in 5 hour.
Machine B packs 4 cartons in a hour.
Which machine packs faster? How
many cartons per hour can the faster
machine pack?
Machine:
Answers
Answer:
Machine B is the faster machine because it packs 4 cartons in an hour while the other machine takes 5 hours to pack 4 cartons. The faster machine can pack 4 cartons in an hour.
Step-by-step explanation:
Click on the multiplication sentence that helps you solve this problem.
3/7 divided by 4/5
Answers
Answer:15/28
Step-by-step explanation:
3/7 divided 4/5
3/7x5/4=15/28
Answer: 3/7 x 5/4
Step-by-step explanation: 3/7 ➗ 4/5 = 15/28
3/7 x 5/4 = 15/28
Solve
- 2 + 3x + 24 = x
Answers
Answer:
x=-1
Step-by-step explanation:
thank me later it correct did the workhope this works
What is the degree of the polynomial −6x3y2+5x4−7z?
Answers
Answer:
4
Step-by-step explanation:
The degree of a polynomial is a coefficient with the highest power. In the polynomial given, the highest degree (power) is 4.
Best of Luck!
13. Emily has h + 15 minutes of homework tonight. Evaluate when h= 20.
Answers
Answer: 35 minutes
Step-by-step explanation:
Since we are given the value of h, we can plug that into the equation and solve.
20+15 [add]
35
Now, we know that it is 35 minutes.
Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest tenth? What is the next step? What is 5.94 rounded to the nearest tenth? The first step in rounding to the nearest tenth is to look at the digit to the right of the tenths place. What is the next step?
Answers
Answer:
A
Step-by-step explanation:
Answer:
5.94 rounded up to the neares tenth is 10
Step-by-step explanation:
logic also I don't think there is a next step
Given a the line y=2.5x+4, find line whose graph:
is parallel to the graph of the given line.
Answers
Answer:
y=2.5x+10
Step-by-step explanation:
The given line is y=2.5x+4.
Here, the slope of the line, [tex]m_0=2.5[/tex] and
the y-intercept of the line, [tex]C_0=4[/tex].
The graph of the line has been shown in the figure.
The parallel lines never intersect each-other and always have a fixed distance between then.
Mathematically, a line having the slope, m, and the y-intercept, C, i.e
y=mx+C is parallel to the given line if it has equal slopes, [tex]m=m_0[/tex], and different intercepts, [tex]C\neq C_0[/tex].
So, the equation of the parallel line is
y=2.5x+C, where [tex]C\neq 4[/tex].
For example, take C=10 than the equation of a parallel line is
y=2.5x+10 has been shown in the graph.
Like this, there are infinitely many possible parallel lines to the given line.
round to 2 decimal 0.314
Answers
Answer:0.300
Step-by-step explanation:Just took something familiar
Answer:
0.31
Step-by-step explanation:
What is the greatest common factor of 80 and 16?
Answers
Answer:
16
Step-by-step explanation:
did the calculation
Answer:
Therefore the highest common factor of 80 and 16 = 8
What is the distance between the following points?
Y
7
10-
9+
8+
7+
6+
5+
4+
3 |
2+
1+
+++++++
1 2 3 4 5 6 7
A++
-3-2
Answers
Answer:
+1 is the distanse of the following point
A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?
Answers
It is 28 feet far above form the ground.
1225=441+B^2
1225-441=B^2
784=B^2
√784=√B^2
28=B
B=28 feet
Cricket match Australia v England begins 10:00 UK time. Australian time is 11 hours ahead of UK time. What time will the game start in Australia (24 hr clock)
Answers
Answer:
21:00 AST
Step-by-step explanation:
10:00 uk time
Australia time is 11 hours ahead of UK time then
10:00 + 11 hours
21:00 AUSTRALIA TIME
OR 9:00 PM Australia time
Which expression is equivalent to 9+9x+9y?
Answers
Answer:
9(1 + x + y)
Step-by-step explanation:
[tex] \huge 9 + 9x + 9y = \red{ 9(1 + x + y)}[/tex]
Solve the formula C = πd for d
Answers
Answer:
[tex]d = \frac{C}{\pi}[/tex]
Step-by-step explanation:
[tex]C= \pi d\\[/tex]
Isolate d ; Divide both sides of the equation by [tex]\pi[/tex]
[tex]\frac{C}{\pi} = \frac{\pi d}{\pi }[/tex]
Simplify
[tex]\frac{C}{\pi} = d\\\\d = \frac{C}{\pi}[/tex]
Note; Another formula for d(diameter) =
[tex]2\times radius[/tex]
Which linear equation has no solution?
Answers
because 0=-19 has no solution.
Find the probability for one roll of a number cube.
P(number is not 5)
A. 0
B. 5/6
C. 1/6
D. 1
Answers
Answer:
for 5 probability is 1/6
for not a five = 1-1/6 = 5/6
Step-by-step explanation:
A negative number divided by a negative number will result in a _ Quotient
Answers
Answer:
Positive
Step-by-step explanation:
Two negatives make a positive.
F(x)=x2-2x find f(x2)
Answers
answer
0
Step-by-step explanation:
you plug in the 2 into every xbox value
Answer:
f(x)= x²-2x
For finding f(x²), replace x with x²
f(x²)= (x²)²-2x²
= x⁴-2x²
Hope it helps :-)
two angles of a triangle are 98 degrees and 50 degrees what is the third angle
Answers
Answer:
32 degrees.
Step-by-step explanation:
The three angles in a triangle always add up to 180 degrees.
To find the third angle, [tex]180-50-98=32[/tex].
Max has the 14 stickers shown
at the right. He wants to put an
equal number of stickers on each
of 2 posters. Draw circles in each
box to represent the stickers Max
puts on each poster.
Answers
Answer:
7 Stickers on Each Poster
Step-by-step explanation:
Max has 14 stickers, and 2 posters. You have to divide 14 by 2. Or, put one sticker in each box until you run out of stickers. Eventually, you'll end up with 7 stickers in each poster.
the ratio of two numbers is 3:7. the product of these 2 numbers is 189. what is the smaller of these numbers?
Answers
Answer:
9.
Step-by-step explanation:
I am assuming that the two numbers are positive.
Let the numbers be 3x and 7x.
Then 3x * 7x = 19
21x^2 = 189
x^2 = 9
x = 3.
So the smaller of these numbers is 3*3 = 9.
Answer:
9 if that does not work try - 21
Step-by-step explanation:
Let the two numbers be x and y
x/y = 3/7 which means that x is the smaller number.
x*y = 189
Cross multiply the top equation
7x = 3y
Divide by 7
x = 3/7 ^ y
x*y = 189
(3/7 y) * y = 189
Multiply by 7
3y^2 = 189*7
3y^2 = 1323
Divide by 3
y^2 = 441
Take the square root of both sides
y = 21
The question is a bit ambiguous. You could use - 9 and - 21 in which case the smallest number is -21. I think they intend 9 however.
x = 3/7 * 21
x = 3*3
x = 9
Check
x*y = 9 * 21 = 189
Anthony works as a salesperson at an electronics store and sells phones and phone accessories. Anthony earns a $8 commission for every phone he sells and a $4 commission for every accessory he sells. On a given day, Anthony made a total of $80 in commission and sold 5 more accessories than phones. Graphically solve a system of equations in order to determine the number of phones sold, x,x, and the number of accessories sold, yy.
Answers
Answer:
There were 5 phones sold and 10 accessories sold.
Step-by-step explanation:
What is the area of a section of pavement that is 20 ft wide and 50 yd long?
Answers
Answer:
3000 feet or 1000 yards because there are 3 feet in a yard, and make sure there is a squared sign at the end of ft or yards( ft^2) (yd^2)
Step-by-step explanation:
What number multiplied by itself 3 times equals 10
Answers
Answer:
2.1544
Step-by-step explanation:
[tex]\sqrt[3]{10}[/tex] = 2.1544
check: 2.1544^3
HELP ME!!!!! Solve for X
Answers
Answer:
1. x=6, 2. x=14 3. x= -2, and 4. x=6.5
Step-by-step explanation:
1. 120=20x, x=6.
2. 47=2x+19, x=14
3. 4x+3=2x-1, x= -2
4. 3x+4+7x+11=180, x=6.5
Find the inverse.
f(x) = 3x+28
Answers
Set [tex]y = f^{-1}(x)[/tex] and [tex]f(y) = x[/tex]
Interchange the variables [tex]x[/tex] and [tex]y[/tex]
[tex]3y + 28 = x\\3y = x - 28\\y = \frac{x - 28}{3} \\\\f^{-1}(x) = \frac{x - 28}{3}[/tex]