The ratio in which P (1,2) divides AB at (2,1) and (7,4) is 1:6.
What is ratio?Ratio is the term for the proportion between two or more things in terms of number, amount, or size.
How to calculate ratio?Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio will be 5/10 if A is 5 and B is 10.
Given,
Point P → (1, 2)
Point A → (2, 1)
Point B → (7, 4)
Let m1:m2 be the ration
The formula that is used is:
[tex]x=\frac{m1x2+m2x1}{m1+m2} ; y=\frac{m1y2+m2y1}{m1+m2}[/tex]
Now we have been given the Point P → (1, 2), hence x = 1 and y = 2
Also, (x₁, y₁) = (2, 1) and (x₂, y₂) = (7, 4)
[tex]1=\frac{7m1+2m2}{m1+m2} ; 2=\frac{4m1+m2}{m1+m2}[/tex]
m₁ + m₂ = 7m₁ + 2m₂
0=6m1-m2
m2=6m1
1/6=m1/m2
The ratio in which P divides AB is 1:6.
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Solve for x and show work.
Answer:
x = 2
Step-by-step explanation:
The four sides of a rhombus are equal. Thus, 10x + 6 = 4x + 18.
Solve this equation for x:
6x = 12
So, finally, x = 2
What is the equivalent for 4/6
Answer:
2/3
Step-by-step explanation:
please mark this answer as brainliest
Answer:
[tex] \frac{4}{6} \\ = \frac{2}{3} \\ = 0.66[/tex]
Find the value of x that will make A||B
Answer:
15?
Step-by-step explanation:
Answer:
30Step-by-step explanation:
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The graph of the function B is shown below. find B(1).
Answer:
B(1) = 2
Step-by-step explanation:
Function B(x), according to the graph, which point has an x-value of 1? Point (1, 2). So the solution is 2.
17 gallons = ? liters
Answer:
64.345
Step-by-step explanation:
1 gal=3.785
multiply 3.785 x 17
Blake, Chang, and Grace together sold 71 tickets for the school banquet. Blake sold 27 tickets and Chang sold 28 tickets. How many tickets did Grace sell? (5 points) 16 43 44 55
Answer:
16
Step-by-step explanation:
because to get what you need add 27 and 28 and you get 55 then subtract 71 by 55 to get 16
71-(27+28)
Answer:
Grace sold 16 tickets.
Step-by-step explanation:
We have a total of 71 tickets sold between 3 people. Blake sold 27 tickets and Chang sold 28 tickets. Adding those sold by Blake and those sold by Chang, gives us: 27 + 28 = 55, if that amount is subtracted from the total sales that are 71 tickets, the result would be: 71 - 55 = 16, which would be the tickets sold by Grace.
Please Help! Trigonometry Problem:
find the solution in 0< x < 2π
cos 2x = 2sinx
Answer:
[tex]\displaystyle x=\left\{\arcsin\left(\frac{-1+\sqrt{3}}{2}\right), \pi-\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\right\}[/tex]
Or their approximations:
[tex]x\approx \left\{0.375, 2.767\right\}[/tex]
Step-by-step explanation:
We are given:
[tex]\cos(2x)=2\sin(x)[/tex]
And we want to find the solution in [0, 2π).
Recall the double-angle identities for cosine:
[tex]\begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x) \\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}[/tex]
We will use the third version. Hence:
[tex]1-2\sin^2(x)=2\sin(x)[/tex]
Move all terms to one side:
[tex]-2\sin^2(x)-2\sin(x)+1=0[/tex]
This is now in quadratic form. For simplicity, let u = sin(x):
[tex]-2u^2-2u+1=0[/tex]
Solve for u. Simplify:
[tex]2u^2+2u-1=0[/tex]
By the quadratic formula:
[tex]\displaystyle u=\frac{-(2)\pm\sqrt{(2)^2-4(2)(-1)}}{2(2)}}[/tex]
Evaluate:
[tex]\displaystyle u=\frac{-1+\sqrt{3}}{2}\approx 0.366\text{ and } u=\frac{-1-\sqrt{3}}{2}\approx-1.366[/tex]
Note that the second solution is > -1. Hence, we will disregard it. (The range of sine is only -1 ≤ y ≤ 1.)
Back-substitute:
[tex]\displaystyle \sin(x)=\frac{-1+\sqrt{3}}{2}[/tex]
Since it is approximately 0.366, it will occur twice (once in QI and again in QII. This is because sine is positive only in those two quadrants). Using a calculator:
[tex]\displaystyle x_1=\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\approx0.375[/tex]
Using reference angles, the other solution is:
[tex]\displaystyle x_2=\pi -x_1=\pi -\arcsin\left(\frac{-1+\sqrt{3}}{2}\right) \approx2.767[/tex]
If anyone wants to help that would be awesome 40 points for the the 2 people who answer and brainlest for the person who s correct. Thank You!
The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1720 and a standard deviation of 20. Approximately what percentage of buckets contain between 1680 and 1760 pieces of popcorn? 1)Approximately 68%
2) Approximately 75%
3)Approximately 95%
4)99.7%
Answer:
Your answer is approxamantly 68%
Step-by-step explanation:
If correct I’ll give brainlist
Answer:
should look like this a bit
Step-by-step explanation:
heres another pov
Which product is modeled by the number line below?
2
3
4
5
B
7
8
(-3)(4)
(-2)(4)
(2)(4)
(3)(4)
Answer:
(-2)(4)
Step-by-step explanation:
(-2)(4) because we made four ”steps” of the lenght of two on the left
it's all on the picture
Answer:
i believe its 24+12
Step-by-step explanation:
How to find the area of each trapezoid step by estep
What are equivalent equations? How do you find them? Write a few sentences describing them
Answer: Equivalent equations are equations with identical solutions. You can find them by simply simplifying an equation.
EXAMPLE:
1 + 2 + 3 = 5x
An equivalent equation would be 3 + 3 = 5x
Classify the triangle based on its angles
Answer:
The triangle is scalene triangle because its all sides are different
So, you can go with it and
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PLEASE HELP ASAP This table represents the monthly fees for checking accounts at two banks. Which statement is best supported by the information in the table?
A)The fee at Starlight Bank will be more than the fee at Lakeshore Bank only when the checking account balance is more than $300.
B)The fee at Starlight Bank will be more than the fee at Lakeshore Bank only when the checking account balance is less than $300.
C)The fee at Starlight Bank will always be more than fee at Lakeshore Bank.
D)The fee at Starlight Bank will always be less than the fee at Lakeshore Bank. Bank Monthly fee Starlight
Starlight: 1% of checking account balance
Lakeshore: $3
a is the answer i took the test
At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460. $76$141Let x represent the number of polyester-fill bags sold and let y represent the number of down-fill bags sold. Complete the system of equations that can be used to find the number of each type sold. The system is braceleftze 76x + y = x + y =
Answer:
The system of equations that can be used to find the number of each type sold is given as:
x + y = 17 ...... Equation 1
76x + 141y = 1460....... Equation 2
Step-by-step explanation:
Let
x represent the number of polyester-fill bags sold
y represent the number of down-fill bags sold.
In one week the store sold 17 sleeping bags
x + y = 17 ...... Equation 1
x = 17 - y
At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460.
Hence:
$76 × x + $141 × y = $1460
76x + 141y = 1460....... Equation 2
Therefore, the system of equations that can be used to find the number of each type sold is given as:
x + y = 17 ...... Equation 1
76x + 141y = 1460....... Equation 2
20 points for correct answer and a brainliest for first correct answer!
Answer:
D
Step-by-step explanation:
translations on a coordinate plane
Answer:
check in my page someone will answer it for me
Step-by-step explanation:
then you get your answer
Help asap plz!!! 30 points
A human's eyeball is shaped like a sphere with a diameter of 2.5 cm. A
dog's eyeball is shaped like a sphere with a diameter of 1.75 cm. About
how many times greater is the volume of a human's eyeball than the
volume of a dog's eyeball?
Answer:
I think it is 1.5
Step-by-step explanation:
I'm not that sure sorry :(
Volume of human eyeball is 3 times more than volume of dog's eye .
Given,
Human eyeball diameter = 2.5 cm
Dog eyeball diameter = 1.75 cm
Now,
Firstly calculate the volume of humans eye,
Volume of sphere = 4/3 πr³
r = radius of eyeball
r = d/2
r = 2.5/2
r = 1.25 cm
Volume = 2.60π cm³
Now calculate the volume of dogs eye,
V = 4/3 πr³
r = d/2
r = 1.75/2
r = 0.875 cm
V = 0.893π
Thus from the calculation volume of human eye is more by approximately 3 times .
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Suppose that x and y vary inversely and that x = 30 when y = 2
1) Write a function that models the inverse variation.
2) Find x when y = 12
Answer:
1. x is inversely proportional to y
x=k/y
k is the constant of proportionality
x =60/y
2. x=60/y
x=60/12
x=5
I need help with this
Answer:
y=3/4x +7
Step-by-step explanation:
The equation for slope-intercept is y=mx+b, where m is the slope and b is the intercept.
To find b, we can plug in the x,y, and given slope.
[tex]4 = \frac{3}{4} ( - 4) + b \\ 4 = - 3 + b \\ b = 7[/tex]
so now we can write b and m in the original equation.
which gives us, y =3/4x +7
A toy store was selling stuffed animals for $7.00 each. The stuffed animals go on sale and are now sold for $2.50 each. What is the markdown?
What is the perimeter of the triangle?
A. 13 centimeters
B. 30 centimeters
C. 52 centimeters
D. 169 centimeters
Answer:
B
Step-by-step explanation:
Answer:
30 is the correct answer
Use a number line to add and subtract.
+7 + (-3)=
Answer:
4
Step-by-step explanation:
You have positive number and it is bigger that negative so your result will be positive too:
7-3=4
Find the mean, median, and mode for the following data set.
3, 8, 10, 14, 14, 17
Answer:
Mean = 11
Median = 12
Mode = 14
Step-by-step explanation:
I hope this helped!
A circle has a circumference of 12. What is the area of the circle and how do you find it?
Answer:36cm
Step-by-step explanation:The area of a circle is pi times the radius squared (A = π r²
a) Diameter is 12cm
; (b) radius is 6cm
; and (c) area is 36πcm2.
Explanation:If r is the radius of a circle, then its circumference is 2πr
and area is πr2.
As circumference is given to be 12π, we have 2πr=12π
or r=12π2π=6cm.
As such radius is 6cm
and diameter being double of radius, diameter is 2×6=12cm.
and area is π×62=36 cm2
.
Q. factorize by regrouping the expression
xy-2x+3y-6
Answer:
xy-2x+3y-6
(xy-2x) (3y-6)
x(y-2) 3(y-2)
(x+3) (y-2)
hope this answer helps you.....
Find the midpoint of the segment with the following endpoints.
(10,1) and (3,-6)
Answer:
(13/2,-5/2)
Step-by-step explanation:
I hope this helps