In the coordinate plane, the directed line segment from K to N has endpoints at K(–6, –2) and N(8, 3). Point L partitions the directed line segment from K to N in a ratio of 1:2. Point M partitions the directed line segment from L to N in a ratio of 3:1. What are the coordinates of point M? Round to the nearest tenth, if necessary. (–1.3, –0.3) (2.5, 1) (5.7, 2.2) (7, 2.5)
its c .i just took it
The coordinates of point M are approximately (5.7, 2.2).
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
To find the coordinates of point M, we need to first find the coordinates of point L.
Since point L partitions the directed line segment from K to N in a ratio of 1:2, we can use the midpoint formula to find its coordinates:
L = [(1/3)(8 - 6) + (-6), (1/3)(3 - (-2)) + (-2)]
L = (-4, 1)
Next, we need to find the coordinates of point M, which partitions the directed line segment from L to N in a ratio of 3:1. We can use the same formula:
M = [(3/4)(8) + (1/4)(-4), (3/4)(3) + (1/4)(1)]
M = (5.5, 2)
Rounding to the nearest tenth, we get M ≈ (5.7, 2.2).
Therefore, the coordinates of point M are approximately (5.7, 2.2).
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How many solutions does the equation does 8x+16=8x-16 have
When we will solve the equation 8x+16=8x-16 by subtractig 8x from each sides then we will get,
+16=-16 which is mathematically not correct.
So, there is no solution for this system.
SOooooo I don't think I am really right but I came up with 8X9=14+5X2=23
(4+m)+2ni=9+14i solve for n and m
Which value is equivalent to 8 multiplied by 4 multiplied by 2 whole over 8 multiplied by 7, the whole raised to the power of 2 multiplied by 8 to the power of 0 over 7 to the power of negative 3, whole to the power of 3 multiplied by 7 to the power of negative 9?
a 64 over 49
b 8 over 49
c 16 over 7
d 512 over 7
Evaluate (2-5i)(p+q)i when p=2 and q=5i
a. 29i
b. 29i-20
c. -21i
d. 29
Answer:
Answer:
The value of the (2 – 5i)(p + q)i is 29i .
Option (a) is correct .
Step-by-step explanation:
As the expression given in the question.
= (2 - 5i) (p + q)i
Simplify the above
= (2 - 5i) (pi + qi)
= 2pi + 2qi - 5pi²- 5qi²
As i² = -1
Put in the above
= 2pi + 2qi + 5p +5q
= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i
= 4i + 10i² + 10 + 25i
As i² = -1
= 4i - 10 + 10 + 25i
= 29i
Thus the value of the (2 – 5i)(p + q)i is 29i .
Option (a) is correct .
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
on edge:)
Henry made 3 batches of cookies. Each batch creates 12 cookies. If Henry gave the same amount of cookies to all of his 20 coworkers, how many cookies will Henry have left?
Rewrite the expression in terms of ln 5 and ln 6. ln(4500)
The expression ln(4500) can be rewritten in terms of ln 5 and ln 6 by using the properties of logarithms and prime factorization. The final expression is ln(4500) = 3 * ln(5) + 5 * ln(6).
Explanation:To rewrite the expression ln(4500) in terms of ln 5 and ln 6, we first need to break down 4500 into its prime factors. Starting off, we know 4500 = 5 * 5 * 5 * 3 * 2 * 2 * 2 * 2 * 2. Applying the properties of logarithms, ln a * b = ln a + ln b, the expression then becomes:
ln(4500) = 3* ln(5) + ln(3) + 5* ln(2).
Now, we have ln3 and ln2 terms instead of the desired ln5 and ln6 terms. To convert ln(2) and ln(3) to ln(5) and ln(6), we note that 6 = 2 * 3. Thus, ln(6) = ln(2) + ln(3). Replacing ln2 and ln3 with ln6 in our expression gives:
ln(4500) = 3 * ln(5) + 5 * ln(6).
So, ln(4500) can be expressed in terms of ln5 and ln6 as 3 * ln(5) + 5 * ln(6).
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Derrick surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey:
Hamburgers
Spaghetti
Pizza
Sample #1
43
13
44
Sample #2
41
20
39
Which of the following inferences can be made based on the data?
Pizza is the most preferred lunch.
Spaghetti is two times more popular than pizza.
Hamburgers and pizza are preferred almost equally.
Spaghetti is two times more popular than hamburgers.
hamburgers = 43 + 41 = 84
spaghetti = 13 + 20 = 33
pizza = 44 +39 = 83
since 83 & 84 are close the answer is:
Hamburgers and pizza are preferred almost equally.
Answer:
Hamburgers and pizza are preferred almost equally.
Step-by-step explanation:
Jan has 3 1/3 feet of rope to use on a camping trip. Assume 1 foot = 30.48 centimeters. What is the best estimate of the centimeters of rope Jan has?
A. 9 cm
B. 12 cm
C. 90 cm
D. 160 cm
Answer:
the correct Answer is definitely 90cm correct me If I am wrong!!
Suppose both employees work the same amount of time determine which employee earns more money
the quotient of nine times a number and seven
which class (sophomore, junior, or senior) had the lowest cumulative college gpa? what is the approximate value of that gpa?
Without the specific GPA data for the sophomore, junior and senior classes, it's impossible to determine which of these classes had the lowest cumulative college GPA.
Explanation:Unfortunately, from the data provided, we can't determine which class (sophomore, junior, or senior) had the lowest cumulative college GPA and the approximate value of that GPA. The information given relates more to correlation coefficients, random number generation, precalculus classes, and high school student classifications, but nothing specifically providing the desired GPA data.
Without specific GPA data for each class (sophomore, junior, senior), it's not possible to make an accurate deduction. An authoritative answer would be dependent on obtaining this specific data.
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Which table represents a function?
Lisa paid $43.95 for 16.1 gallons of gasoline. What was the cost per gallon, rounded to the nearest hundredth?
EVERY ANSWER THAT EXPLAINS, I WILL GIVE 5 STARS AND THANKS
Answer:
$2.37
Step-by-step explanation:
43.95 ÷ 16.1 = 2.37
=$2.37
please explain how you got the answer
Someone please help! I’ll give you 25 points!
find the angle whose cosine is .4203
The angle is approximately 65.09 degrees or 1.106 radians.
To find the angle whose cosine is 0.4203, we can use the inverse cosine function, denoted as [tex]cos^{-1}[/tex]or arccos.
Ensure your calculator is in degree mode.Input 0.4203 into your calculator.Use the arccos function to find the angle.The result will be:
[tex]cos^{-1}[/tex](0.4203) ≈ 65.09°
This means the angle whose cosine is 0.4203 is approximately 65.09 degrees or 1.106 radians.
Theos mom bought an eight-pack of juiceboxes at the store for $4. Find the unit rate for the juice boxes.
Multiply.
(3)(–21)
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!1
Delia relative long jump length was recorded as 0. What does this mean
When we say about an object relative to something, this only means that we are comparing an object’s characteristic to that of our reference. So in this case, I think we are referencing Delia’s jump to someone else. Say our reference has a long jump length of 5 meters, since Delia’s relative long jump length is 0, this means that relative to the reference there is no difference. Therefore, Delia’s jump length is also 5 meters.
write an equation in slope intercept form for the line that passes through (4,7) and is perpendicular to the line that passes through (3,6) and (3,15)
The area of the following rectangle is 30 square units. What is the value of x
a.6.4 units
b.8 units
c.27 units
d.12 units
which is equal to 300
Brianni decided to ride her bike from her home to visit her friend Adam. Two miles away from home, her bike got a flat tire and she had to walk the remaining three miles to Adam's home. She could not repair the tire and had to walk all the way back home. How many more miles did Brianni walk than she rode?
Brianna walked 6 miles more than she ran.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
she had got to bike a total of 2 miles, the other 3 of which she ended up walking. this means the trip was 5 miles long, all of which she walked.
walked: 8 miles.
biked: 2 miles
8 - 2 = 6 miles.
Hence, she walked 6 miles more than she ran.
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Complete the coordinate proof of the theorem.
Answer:
Step-by-step explanation:
THESE ARE THE CORRECT ANSWERS
Three is less than the sum of a number s and 4
Answer:
Expression is,
[tex]3 < s + 4[/tex]
Solution is -1 < s.
Step-by-step explanation:
Given phrase,
Three is less than the sum of a number s and 4,
∵ Sum of s and 4 = s + 4,
Now, in the inequality,
We use < for 'less than'
Hence, 3 is less than s + 4
[tex]\implies 3 < s + 4[/tex]
Which is the required expression,
By solving it,
[tex]3-4<s[/tex]
[tex]\implies -1<s[/tex]
STILL LOOKING FOR THIS ANSWER. PLEASE HELP IF YOU CAN.
Alice is on the line x = 4, and she is √40 away from (2,3). What is the sum of the possible y-coordinates of the point Alice is at?
louise 1 1/4 pounds of roast Beef at $2.00 per pound and 2 1/2 pounds of turkey at $1.50 per pound what was her total cost?
2.00 * 1.25 = 2.50
1.50 * 2.5 = 3.75
3.75 + 2.50 = $6.25 total cost
do Dollar markdowns represent price increases to the original selling price.
No, dollar markdowns do not represent price increases to the original selling price.
In retail, a markdown refers to a reduction in the price of an item from its original selling price. When a dollar markdown occurs, it means that the price of the item has been decreased by a specific dollar amount. This reduction is typically implemented to stimulate sales, clear out excess inventory, or attract customers.
For example, if an item originally priced at $50 is marked down by $10, the new selling price would be $40. Therefore, dollar markdowns signify a decrease in the selling price relative to the original price, rather than an increase. They are a common strategy used by retailers to adjust pricing to match market demand and drive sales.
Supposed two angles are supplementary and one of them measures 31 degree what is The measure of the other angle
We will see that if the angles are supplementary, the measure of the other angle is 149°.
How to get the measure of the other angle?Two angles A and B are supplementary if their measures add up to 180°, so we must have:
A + B = 180°
In this case, we know that one of the angles measures 31°, let's say:
A = 31°
Replacing that we get:
31° + B = 180°
Solving for B, we get:
B = 180° - 31° = 149°
We conclude that the measure of the other angle is 149°.
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