The endpoints of AC are A(-8, 9) and C (1, -3). Point B(-2, 1) lies on AC. What
is the ratio AB: BC?
A 1:2
B
1:1
C) 2:1
D) 3:1
Answers
Answer:
c)2:1..................
Answer:
C
Step-by-step explanation:
Find the distance of AB:
Distance formula: [tex]\sqrt{[(-8)-(-2)]^2+(9-1)^2}[/tex]
[tex]\sqrt{(-6)^2+(8)^2}=\sqrt{36+64}=\sqrt{100}=10 units[/tex]
Find the distance of BC:
Distance formula: [tex]\sqrt{[(-2)-1]^2+[1-(-3)]^2}[/tex]
[tex]\sqrt{(-3)^2+4^2}=\sqrt{9+16} =\sqrt{25} =5 units[/tex]
AB=10 units
BC=5 units
AB:BC = 10:5=2:1
Related Questions
this is like my 4th time posting this can someone plz help me
Answers
Answer:
35 degrees
Step-by-step explanation:
All angles of a triangle add up to 180 degrees.
180-120-25 = ?
? = 35
Answer:
35
Step-by-step explanation:
Bonus: Give the nth term for the sequence below:
Answers
Answer: 256×4=1024
Next item is determined by recognizing how the previous items are
calculated.
1
1×4=4
4×4=16
16×4=64
64×4=256
256×4=?The next item is
256×4=1024
There are 16 boys and 18 girls in a grade 6 math class . write the ratio of girls to boys in words as simply as possible
Answers
Answer:
8:9 = eight to nine
Step-by-step explanation:
16:18 - divide each by 2 in order to simplify
= 8:9
prove that 5^(2n - 1) is divisible by 8
Answers
Your teacher must have made a typo somewhere. The expression 5^(2n-1) is not divisible by 8.
The expression 5^(2n-1) is composed of 2n-1 copies of "5" multiplied together. The key here is that 5 is the only unique prime factor of this number.
On the other hand, 8 = 2*2*2 = 2^3 showing that 2 is the only prime factor for this number. At this point, we can see that there's no way that 5^(2n-1) is divisible by 8. It all comes down to the clash of the primes 5 and 2 not matching up, and having nothing in common.
Let's consider a few concrete examples:
If n = 1, then 5^(2n-1) = 5^(2*1-1) = 5^1 = 5 which is not divisible by 8. The number 5/8 = 0.625 isn't an integer.If n = 2, then 5^(2n-1) = 5^(2*2-1) = 5^3 = 125 which is also not a multiple of 8. The number 125/8 = 15.625 isn't an integer.I'll let you try other natural numbers for n, and you'll find that [tex]\frac{5^{2n-1}}{8}[/tex] isn't an integer.
Stephen was thinking of a number. Stephen divides by 5 then adds 1 to get an answer of 21. Form an equation with
x
from the information.
Answers
Answer:
x/5 +1 = 21
Step-by-step explanation:
x is your variable. first step is divided by 5, so you put x/5. then it says add 1 so simply add it on to the equation x/5 + 1. the entire equation equals to 21 so you put the equal sign after x/5 +1 =21
X/2 -5=20 please give details
Answers
Answer: x=50
how?
[tex]\frac{x}{2}[/tex] - 5= 20 (first ADD 5 with 20 whatever you do on one side you have to do it to the other) so that gives us:
[tex]\frac{x}{2}[/tex]=25 (we see that 2 is being divided by x and we want X alone so the inverse of division is MULTIPLICATION)
25 x 2= 50
therefor the x=50
A group of friends wants to go to the amusement park. They have no more than $150
to spend on parking and admission. Parking is $13.50, and tickets cost $22.75 per
person, including tax. Write and solve an inequality which can be uused to determine
X, the number of people who can go to the amusement park.
FEE
Inequality:
Answers
Answer:
22.75x + 13.50 = 150
Step-by-step explanation:
Student Council plans on selling fresh hamburgers at the homecoming game. They
bought 40 lbs of ground chuck to use to make burgers and each burger uses 0.25 lbs
of chuck to make. What is the most amount of burgers they can sell at the game
Answers
Answer:
Student Council can make at the most 160 fresh burgers.
Step-by-step explanation:
Take 0.25 and divide it by 40.
0.25 / 40 = 160
Dilate XYZ at Center 0 and a scale factor of 12
0
2
Dilate FGHJ at center Rand
Answers
Help im stuck of this assignment
Answers
Answer:
48÷8, -36÷-12
Step-by-step explanation:
Answer the question below
Answers
Answer:
box A.Step-by-step explanation:
im not really sureAnswer:
BOX A
Step-by-step explanation:
The more of something there is, the more heavier it is.
A car is traveling at 40 mi/hour. What is the car's speed in feet per second?
Answers
Answer:
58.8 feet per second
Step-by-step explanation:
At 40 miles per hour, you are traveling 58.8 feet per second. To convert miles per hour to feet per second, multiply the miles per hour figure by 1.47. There are 5280 Feet in a mile and 3600 Seconds in an hour. If you divide 5280 Feet by 3600 Seconds (5280 FT /3600 SEC.), you get 1.47.
Hope that helps :)
if i read 50 pages in 40 minutes how many pages do i read a minute
Answers
Answer:
You are reading 1 1/4 page/minute.
Step-by-step explanation:
In the equation 3x - 5 = 22,
where "x is the cost of a sandwich"
Diana said that "the sandwich cost $9."
Victor's answer is $5.
Who is right? Support your claim with math evidence or reasoning.
Answers
Answer:
Diana said that "the sandwich cost $9
Step-by-step explanation:
3x - 5 = 22
3x = 22 + 5
3x = 27
x = 27 / 3
x = 9
The difference between two positive numbers , 12/(x + 1) and 12/x , 1. () Form an equation in x and show that it reduces to x ^ 2 + x - 12 = 0 . (ii) Solve the equation x ^ 2 + x - 12 = 0 . () Hence , find the two numbers .
Answers
Answer:
Step-by-step explanation:
12
In a river, a trout passed beneath a woman who was swimming at 1,800 centimeters per minute. The trout swam 8,000centimeters directly upstream at a constant velocity. It swam that distance in 0.8minutes. What was the trout's velocity?
Write your answer as a whole number.
centimeters per minute upstream
Answers
Answer:
It would approximately be 3.73 m/h
Step-by-step explanation:
0.8 mins is 48 seconds
I then divided 8000 by 48 seconds to see how many cm it traveled per second.
It traveled 166.666666667 cm per second
I then converted cm to feet
so it was 5.468066491699474 feet per second
I then converted feet to miles, so it was 0.0010356186537309611598 miles per second.
Then I multiplied it by 60 so it was 0.06213711922 miles per minute.
Finally I multiplied it by 60 again to make it 3.72822715343 miles per hour.
I rounded it to the nearest hundredth making it 3.73 m/h
What is the slope of the line
Answers
Answer:
3/3=1/1=1 is the slope
Step-by-step explanation:
the rise is 3 and the run is 3
Hope it helps!
4 + 4x = -5(x - 8)
Solve Multi-Step equation.
Please explain how you i can understand too!
Answers
Answer:
If solving for x its
4 + 4x = -5(x - 8) (side math --> -5x +40)
-4. = -4
4x = -5x + 36
+5x = +5x
9x = 36
÷ ÷ (by 9)
x = 4
Step-by-step explanation:
Each equation solution, brings down another answer, making this equal x=4
Michael walks a group of dogs 3 miles every day. The graph below shows the relationship between the number of dogs in the group and the distance he walks the dogs each day
Answers
the temperature dropped 4°c every hour for 5 hours. write an integer that represents the change in temperature
Answers
Answer:
20°C
Step-by-step explanation:
To find the change in temperature, we can multiply the values given.
4 * 5 = 20°C
Best of Luck!
Divide and express in the form of a complex number a + b i.
(-1 - 2i) / (- 4 + 3i)
Answers
Answer:
-2 / 25 + (11 / 25) i
Step-by-step explanation:
Hope this helps :)
[tex]100\times 100\times20[/tex]
Answers
Answer:
100 × 100 × 20 = 200,000
Step-by-step explanation:
here pls brainliest
A number is multiplied by 3. Next, 6 is added to the product. Then, the sum is divided by 8. If the result is 6, what is the number?
Answers
Answer:
14
Step-by-step explanation:
14 x 3 = 42
42 + 6 = 48
48 ÷ 8 = 6
Therefore, the answer is 14.
Answer:
14
Step-by-step explanation:
let us call the number x for now
the number (x) is multiplied by 3 to give us
3x
then,
it is added to 6 to give
3x + 6
then, our sum is divided by 8:
(3x + 6) / 8
according to the question, the result is 6
therefore,
3x + 6 / 8 = 6
if we cross multiply,
3x + 6 = 8 ( 6 )
3x + 6 = 48
collecting like terms,
3x = 48 - 6
3x = 42
divide through by 3 to give
3x / 3 = 42 / 3
x = 14
therefore, x = 14
to reassure us of our answer,
since (3(x) + 6) / 8 = 6
and we know that x = 14,
therefore,
(3(14) + 6) / 8 = 6
(42 + 6) / 8 = 6
48 / 8 = 6
6 = 6
therefore, we are now sure that x = 14
hope this helps
thanks
If mVSR 8x + 18, find the value of x so that US I VS.
Answers
Answer:
x = 9
Step-by-step explanation:
must be 90deg in order to be perpendicular.
90 = 8x + 18
72 = 8x
9 = x
It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals.
Answers
y = 20x + 2300
y is the total cost, x is the amount of boxes made
A test is worth a total of 150 points and contains 70 questions. Some of the questions are worth 2 points and some are worth 4 points.
The test has
questions worth 2 points and
questions worth 4 points.
Emma answered a certain number of questions correctly and scored 100 points. If she answered 46 questions worth 2 points correctly, the number of questions worth 4 points she answered correctly is
.
Answers
Answer:
[tex]46 \times 2 = 92 \: points \\ 100 - 92 = 8 \: points \\ 4 \times 2 = 8 \\ two \: of \: the \: 4 \: points \: questions \: \\ were \: answered \: correctly[/tex]
Determine the average speed of the monorail, in miles per hour, over each segment of the route. Round each speed to the nearest tenth of a mile per hour
Answers
Answer:
show everything
Step-by-step explanation:
copy and paste all of all of the problem
geometry!!
JL has endpoints J(8,10) and L(20,5). Point K has coordinates (13,9). What is the length of JL?
Answers
The length of line JL which has endpoints J(8,10) and L(20,5) is; JL = 13.
According to the question, we are required to determine the length of line JL.
However, the coordinates of the end points of line JL are given as;
Point J; (8,10)Point L; (20,5).The length of line JL is given by Pythagoras theorem as;
JL = √(20-8)² + (5-10)²JL = √ 12² + (-5)²JL = √ 144 + 25JL = √169JL = 13.
Therefore, the length of line JL which has endpoints J(8,10) and L(20,5) is; JL = 13.
Read more:
https://brainly.com/question/13502098
What is the value of W in a exterior angle theorem
Answers
Answer:
26
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.
so:
30 + 2w - 8 = w + 48
22 + 2w = w + 48 export like terms to the same side of the equation
2w - w = 48 - 22 subtract
w = 26
Which statement about this equation is true?
2x + 4 = 2(x + 2)
Answers
Answer:
number 3 is right
Step-by-step explanation:
this equation has infinitely many solutions