Suppose A, R, and B are collinear on AB, and AR:AB= 1/5. What are the coordinates of R?
Answers
Answer:
R(1.6, 0)
Step-by-step explanation:
Use the formula, [tex] (x, y) = (x_1 + k(x_2 - x_1), y_1 + k(y_2 - y_1)) [/tex] to find the coordinates of point R, that partition the lie segment AB into the ratio 1/5.
Let,
[tex] A(1, -1) = (x_1, y_1) [/tex]
[tex] B(4, 4) = (x_2, y_2) [/tex]
Thus, plug in the values as follows:
[tex] R(x, y) = (1 + \frac{1}{5}(4 - 1), -1 + \frac{1}{5}(4 -(-1)) [/tex]
[tex] R(x, y) = (1 + \frac{1}{5}(3), -1 + \frac{1}{5}(4 + 1) [/tex]
[tex] R(x, y) = (1 + \frac{1}{5}(3), -1 + \frac{1}{5}(5) [/tex]
[tex] R(x, y) = (1 + \frac{3}{5}, -1 + \frac{5}{5}) [/tex]
[tex] R(x, y) = (\frac{5 + 3}{5}, -1 + 1) [/tex]
[tex] R(x, y) = (\frac{8}{5}, 0) [/tex]
[tex] R(x, y) = (1.6, 0) [/tex]
The coordinates of point R, are (1.6, 0)
Related Questions
2.23 reapting (2 and 3) decimal as a fraction
Answers
Answer:
221/99
Step-by-step explanation:
2.23 repeating equals x
223.23 repeating equal 100x
subtract x from 100x and you get 99x=221
divide by 99 on both sides of the equal sign and you get x=221/99
• Start with the number 16
• Round to the nearest ten
• Divide by the number in 2 pairs
• Add -5
• Increase by 1
What is your number?
Answers
Answer:
6
Step-by-step explanation:
Start with the number 16
16
• Round to the nearest ten
since 6 is greater or equal to 5 round 1 to 2
20
• Divide by the number in 2 pairs
Divide by 2
10
• Add -5
10 + -5 = 5
• Increase by 1
5+1 = 6
Answer:
6
Step-by-step explanation:
1. 20
2. 10
3. 5
4. 6
Hope this helps! :D
Statement
True False
There are rational numbers that are not
integers.
All rational numbers are whole numbers.
All integers are whole numbers.
All integers are rational numbers.
Answers
Answer:
True, False, True, True
Liz has $17.00 to spend on a girl’s night out with her friends. She plans to spend $6.50 on a movie ticket. How much money does Liz have left to spend on her dinner?
Answers
Answer:
$10.50
Step-by-step explanation:
17.00-6.50
10.50
simplify the expression below.
(3-13)²+14/4²-5·2
Answers
(-10)^2+(7/2)^2-10
To raise a fraction to a power, raise the numerator and denominator to that power
100+49/4 -10
Calculate the sum
409/4
Or
102 1/4
Or
102.25
Help me with number 4 plzzzzzz
Answers
Answer: x=8
Step-by-step explanation:
To solve for x, we want to use our algebraic properties to isolate x.
[tex]-\frac{1}{2}x-7=-11[/tex] [add both sides by 7]
[tex]-\frac{1}{2}x=-4[/tex] [multiply both sides by -2]
[tex]x=8[/tex]
Now, we know that x=8.
For a regular 15-sided polygon, what is the degree of rotation? Enter your answer in the box.
Answers
Answer:
24
Step-by-step explanation:
i just took the test :)
The degree of rotation will be equal to 24°.
It is given that we have a regular 15 sided polygon.
We need to find out the degree of rotation for it.
What is the formula to determine degree of rotation ?
The formula of degree of rotation is given by Degree of rotation = 360° / Number of sides.
As per the question ;
We have a regular 15 sided polygon.
or
No. of sides of regular polygon = 15
We know that ;
Degree of rotation = 360° / Number of sides
⇒ Degree of rotation will be equal to ;
= 360° / 15
= 24°
Thus , the degree of rotation will be equal to 24°.
To learn more about degree of rotation click here ;
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Which set of ordered pairs represents a function? \{(5, -2), (0, 3), (-4, 6), (0, 5)\}{(5,−2),(0,3),(−4,6),(0,5)} \{(5, 7), (5, 6), (3, -1), (7, 4)\}{(5,7),(5,6),(3,−1),(7,4)} \{(-5, -9), (8, -4), (-4, -3), (4, -4)\}{(−5,−9),(8,−4),(−4,−3),(4,−4)} \{(-9, 6), (-2, 8), (-9, -5), (8, -6)\}{(−9,6),(−2,8),(−9,−5),(8,−6)}
Answers
Answer:
(-5, -9), (8, -4), (-4, -3), (4, -4)
a function does not have a repeating domain or x. hope this helps.
-4+7/3 + 13-(-7)/5 how do i answer this
Answers
Answer:
the answer is 12.7333333
Step-by-step explanation:
Answer:
Step-by-step explanation:
15-(-23){3} ÷[3{23}]
15+69 ÷69
84 ÷69=1.2173
Hoped I helped
PLEASE HELP
Find a second point on the line with slope m and point P, graph the line and find an equation of the line.
1. m=2, P=(1,3)
2. m= -2, P=(1,4)
Answers
Answer:
1. equation of a line
y-y1=m(x-x1)
y-3=2(x-1)
y-3=2x-2
y=2x-2+3
y=2x+1
If s ( x ) = 2 - x² and t ( x ) = 3x, what is s ( t ( -7 ) )?
Answers
Answer:
s (t (-7))=?
Step-by-step explana
s (t (-7))= -7s t
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
Answers
Answer: 12.32 for 5 day week or 8.8 for a seven day week
Step-by-step explanation:
2.2 x 28 = 61.6
61.6 divided by 5 is 12.32
divide by seven if its a full week and the answer is 8.8
which expression is equal to 632?
Answers
Answer:
29
Step-by-step explanation:
10 points
QUESTION 2
One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use this rule to estimate the size of the
crowd watching a concert in an area that is 150 feet long and 240 feet wide.
156 people
5760 people
35031 people
14400 people
Answers
Answer:
I believe it’s 14400 people
PLEASE HELP 10 POINTS
r - I0 = -(10 - r)
Answers
Answer:
Infinite Number of Solutions
Step-by-step explanation:
[tex]r-10=-(10-r)\\\\r-10=-10+r\\\\r-10+10=-10+10+r\\\\r=r\\\\r-r=r-r\\\\\boxed{0=0}[/tex]
The sides are even. There are an infinite number of solutions.
At the end of a pizza party of a cheese pizza and of a pepperoni pizza were left. Brad ate
of all the leftover pizza. What fractional part of a whole pizza did Brad eat?
1
Answers
Answer:
The fractional part of a whole pizza did Brad ate is:
[tex]C=\frac{x}{X}\\P=\frac{y}{Y}[/tex]
Step-by-step explanation:
Suppose x portion of the cheese pizza and y portion of a pepperoni pizza were left.
Consider the whole of a cheese pizza as X and the whole of a pepperoni pizza as Y.
Then the fractional part of a whole pizza did Brad ate is:
[tex]C=\frac{x}{X}\\P=\frac{y}{Y}[/tex]
find the values of a and b.
Answers
Answer:
a=6
b=5
Step-by-step explanation:
Answer:
a= 6, b=5
Step-by-step explanation:
Please see the attached picture for full solution.
Jenny runs a cake marking business. she receives an order for 6 carrots cakes. Here are the ingredients for 1 carrots cake. How much mixed spice will she need for 6 cakes. 1/1/2 teaspoons mixed spice
Answers
Which part of the angle is the vertex?
A. AB
B. Point A
C. AC
D. Point C
Answers
Answer:
Point A
Step-by-step explanation:
The vertex is where the two rays meet together
A is the vertex
The vertex of the angle is the shared endpoint of the two rays [tex]\underset{AB}{\rightarrow}[/tex] and [tex]\underset{AC}{\rightarrow}[/tex], that is, the vertex is at Point A. Hence, option B is the right choice.
What is a ray?A ray is made up of a half-line and its endpoint.
If a ray has an endpoint A and a B that is any other half-line point, then the ray is represented by [tex]\underset{AB}{\rightarrow}[/tex].
What is an angle?A pair of rays with a shared endpoint form an angle.
The rays are referred to as the angle's sides.
The shared endpoint is referred to as the angle's vertex.
How do we solve the given question?We are asked to identify the vertex of the given anis
The given angle is made of the rays [tex]\underset{AB}{\rightarrow}[/tex] and [tex]\underset{AC}{\rightarrow}[/tex], the shared endpoint is at Point A.
As we know, the shared endpoint is the vertex of the angle, so Point A is the vertex of the given angle. Hence, Option B is the right choice.
Learn more about rays and angles at
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h = 5a
Need to know what a =
Answers
Answer:
a=h/5
Step-by-step explanation:
h=5a
divide both sides by 5
a=h/5
Answer:
Step-by-step explanation:
5a = h
a = h/5
[tex] - 5(2y - 8) - 3(1 + x) - 7[/tex]
can I have the solving steps.
Answers
-10y+40-3(1-x)-7
-10y+40-3-3x-7
-10y+30-3x
(-10y+40)-3(1+x)-7
Distribute -3, you get
-10y+40-3+3x-7
Combine like terms, the only like terms are 40, -3, and -7 which gives you 30
The equation is now
-10y+30-3x
3- (-3) = ?
What’s the answer
Answers
Answer:
6
Step-by-step explanation:
3-(-3)
3+3
6
3 - (-3)= 3 + 3 = 6
Connor bought a baseball card eight years ago that has depreciated by $120 since he purchased it. Find the average yearly change in the value of the card.
Answers
Answer:
It decreased in value by $15 a year.
Step-by-step explanation:
I put it in the form of an equation and solved from there.
120/8=x
When 1580 is divided into 13 equal parts, the remainder is 7. What is a correct way to write the quotient? 121.7 121 + 7 1217 over 1580 1217 over 13
Answers
Answer:
121.54
Step-by-step explanation:
1580÷13=121 r 7
7 over 13 is 0.538462
rounded off to 2 decimal places:0.54
so 121+0.54
121.54
Can anybody help me with this bellwork?
Manny is participating in a Bike-a-thon and travels at a constant rate of 6 miles in 20 minutes.
1. How long will it take manny to travel 9 miles
2. How long will it take manny to travel 10 miles?
Answers
time taken to travel 1 mile = 20/6 = 3 ⅓ mins
hence, time taken to travel 9 miles = 3 ⅓ x 9 = 30 mins
time taken to travel 10 miles = 3 ⅓ x 10 = 33 ⅓ mins
Answer:
1. 30 minutes to walk 9 miles.
2. 33.33 minutes to walk 10 miles.
Step-by-step explanation:
I divided 20 by 6, and got 3.33. If you multiply 3.33 by 9 you get 30, and if you multiply 3.33 by 10 you get 33.33.
What is 1020-600+700-100+3-2-600-1?
Answers
Answer:
HAVE A GOOD DAY!
Step-by-step explanation:
Hope this is correct and helpful
Answer: 420
Step-by-step explanation:
1020-600=420+700=1120-100=1020+3=1023-2=1021-600=421-1=420
find the greatest 4 digit number which becomes divisible by 24 and 28 when 100 is added to it
Answers
Answer:
9912 is the biggest 4 digit number divisible by 24 and 28.
Step-by-step explanation:
Answer:
9812
Step-by-step explanation:
To find it, you start with the prime factors of 24 and 28 to find the lowest common multiple, which is 168.
Any multiple of 168 will also be a multiple of 24 & 28.
I hope it helps you.....
How would the graph change if the b value in the equation is decreased but remains greater than 1?
Answers
Answer:
-The graph will increase at a slower rate.
-The y-values will continue to increase as x-increases
hope this helped
please give brainlist
A volcanic eruption releasing rock, ash, and dust particles into the air is an example of which interaction?
the biosphere interacting with the geosphere
the geosphere interacting with the atmosphere
the geosphere interacting with the hydrosphere
the hydrosphere interacting with the atmosphere
Answers
The interaction described is that of the geosphere interacting with the atmosphere.
The geosphere refers to all the rock and mineral materials that we have on our planet including:
Lava in the mantle Soil Mountains and everything made of rockThe atmosphere is the air that surrounds the Earth including gases like Nitrogen and Oxygen.
When a volcano erupts therefore, it is releasing rock (geosphere) into the air (atmosphere).
As a result, we can conclude that a volcano erupting is an interaction between the geosphere and the atmosphere.
Find out more at https://brainly.com/question/9969348.
Answer: C
Step-by-step explanation:
the geosphere interacting with the hydrosphere
I am having issues with the equations (7^-6)^10
Answers
7^-60 (-6 x 10)
1/7^60
