The endpoints of (MP)are M(2,1) and P(12,6). If point K partitions (MP) in a ratio of MK:KP = 3:2, what are the coordinates of K?
Answers
Answer:
K(8, 4)
Step-by-step explanation:
Given:
M(2, 1), P(12, 6)
MK:KP = 3:2
Required:
Coordinates of K
SOLUTION:
Coordinates of K can be determined using the formula below:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] M(2, 1) = (x_1, y_1) [/tex]
[tex] P(12, 6) = (x_2, y_2) [/tex]
[tex] m = 3, n = 2 [/tex]
Plug in the necessary values to find the coordinates of K:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{3(12) + 2(2)}{3 + 2} [/tex]
[tex] x = \frac{36 + 4}{5} [/tex]
[tex] x = \frac{40}{5} [/tex]
[tex] x = 8 [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{3(6) + 2(1)}{3 + 2} [/tex]
[tex] y = \frac{18 + 2}{5} [/tex]
[tex] y = \frac{20}{5} [/tex]
[tex] y = 4 [/tex]
The coordinates of K = (8, 4)
Related Questions
Both of the equations below have the same solution when solved for x. What is the value of t?
Answers
Answer:
-.75x-6
Step-by-step explanation:
Step 1: simplify the first equation
1/4(x-28)=2x, or .25x-7=2x.
Step 2: simplify the second equation so that one side equals 2x
13-5x=-7.5x-t. Add 7x to either side to get 13+2x=-.5x-t. Then, subtract 13 from either side and then you have 2x=-.5x-t-13
Step 3: make both equations into one equation
Since 2x=.25x-7, and 2x=-.5x-t-13, then it's safe to say .25x-7=-.5x-t-13.
Step 4: Simplify this final equation
Add .5x to both sides to get .75x-7=-t-13. Then add 13 to both sides to get .75x+6=-t. Then multiply everything by -1 to get -.75x-6=t
Which number(s) below belong to the solution set of the inequality? Check all
that apply
5x 2>= 145
A. 31
B. 10
C. 55
D. 11
E. 29
F. 8
Answers
Answer: 29 for shure
Step-by-step explanation:
I got it on mine
1. In part (b) of the example, why isn't AB a correct answer? 2. In part (c) of the example, would KJL be an appropriate answer?
Answers
Answer:
Step-by-step explanation:
1. AB isn't a correct answer because it only refers to the part of the line between point A and point B. This is incorrect because it doesn't represent the whole line which goes on infinity past point A (as seen by the arrow).
2. KJL would not be an appropriate answer because the points must be listed in the same order that they appear in direction of the line. The angle shown is angle K so K should be the middle letter as it is the middle point with the angle. KJL would not be appropriate because it would refer to the angle J if there was another line between J and L.
Hope this helped!
Which of the following correctly uses absolute value to show the distance between -50 and 12? A: |-50 - 12| = |-62| = -62 units B: |-50 + 12| = |-38| = 38 units C: |-50 + 12| = |-38| = -38 units D: |-50 - 12| = |-62| = 62 units
Answers
5(-42/-7) + (-15) - (-3)
Answers
Answer:
2058
Step-by-step explanation:
factorize : 8a³-b³
Answers
Step-by-step explanation:
8a^3 - b^3
= (2a)^3 - b^3
= (2a -b) (4a^2 + 2ab + b^2)
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 8a³-b³ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be rewritten as,
8a³ - b³
= (2a)³ - b³
It is known that x³-y³ can also be written as (x-y)(x²+xy+y²). Therefore, the above expression can be written as,
= (2a)³ - b³
= (2a - b)[(2a)² + (2a × b) + b²]
= (2a - b)(4a² + 2ab + b²)
Hence, the given expression 8a³-b³ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ2
What kind of number is 92 and why? if you know the others that'd be great!!
Answers
Answer:
hello!
Step-by-step explanation:
The number 92 is a rational number if 92 can be expressed as a ratio, as in RATIOnal. A quotient is the result you get when you divide one number by another number. For 92 to be a rational number, the quotient of two integers must equal 92.
what is 5 1/12 -3 5/12?
Answers
Answer:
the answer is -5/6 hope this helps
please help me fast
hope its easy for ya
Answers
Answer:
(1) 5x+14
(2)5x+15
(3) x^2 + 7x
(4) 4x+13
(5) x^2 +5x
(6) 6x+16
(7)x^2+4x
What is the prime factorization of 36
Answers
Answer:
[tex]2^{2} x 3^{2}[/tex]
Step-by-step explanation:
Answer:
2^2*3^2
Step-by-step explanation:
You can break down 36 through ways down to its prime factors through multiple ways like a facor tree
36
4 9
2 2 3 3
Since two and three cannot be broken down anymore, they are prime factors. Also, because you are left with two 2s and two 3s, you would mark that as squared when giving an answer.
p=a+b+c solve for b
c=90x+35
Answers
Answer:
x=bc-35 over 90
Step-by-step explanation:
C- 90*+ 35
Car A is moving twice as fast as car B. Car B starts 174. Meters in front of car A. If car A passes car B in 27 seconds, how fast is car B going.
Answers
Answer: The speed of car B is 6.44 m/s
Step-by-step explanation:
Let's define:
Sa = Speed of car A.
Sb = Speed of car B.
I assume that at t = 0s, the position of car A is 0m (then at t = 0s, the position of car B is 174m)
Then we can write the positions of each car as:
Pa(t) = Sa*t
Pb(t) = Sb*t + 174m.
We also know that Sa = 2*Sb.
And we know that at t= 27s, car A passes car B.
Then at t = 27s, the positions of both cars must be the same:
Pa(27s) = Pb(27s)
Sa*27s = Sb*27s + 174m.
Now we can replace Sa by 2*Sb (from the above equation)
2*Sb*27s = Sb*27s + 174m
Now we can solve this for Sb.
2*Sb*27s - Sb*27s = 174m
Sb*27s = 174m
Sb = 174m/27s = 6.44m/s.
The speed of car B is 6.44 m/s
How many 1s are in 20?
Answers
Joey wants to collect 20 coins from foreign countries. If he has 3 coins so far, what percent of his collection is complete?
Answers
Answer:
17%
Step-by-step explanation:
I think you maybe have to subtract
Answer:
15%
hope this helps!
7.83mm= km (using the metric staircase)
Answers
Answer:
7.83 mm to km
7.83* 10^-6 or 7.83/10^6
0.00000783 km
aneeta bought 3 3/4 kg of apples and 4 1/2 kg guava what is the total weight of fruits purchased by her
Answers
Answer: 33/4
Step-by-step explanation:
15/4 + 9/2 =
15/4 + 18/4=
33/4=
8 1/4 kg
A jar contains 68 marbles, of which 26 are blue, 29 are red, and the rest are green. What is the ratio of green marbles to all marbles?
Answers
7. Which of the following is an example of perpendicular lines?
OA
X1
B.
C.
D.
Answers
Answer:
D
Step-by-step explanation:
Perpendicular lines intersect at a 90 degree angle.
what’s the slope-intercept form of y + 3 = 4(x - 5),
Answers
Slope-intercept form is: y = mx + b
m = slope
b = y-intercept
y + 3 = 4(x - 5)
Distribute the 4
y + 3 = 4x - 20
Subtract 3 from both sides.
y = 4x - 23
Answer:
Step-by-step explanation:
Slope intercept form...
y=mx+c
where, m=slope
c=intercept
y + 3 = 4(x - 5)
Open the Brackets.
y + 3 = 4x - 20
SUBTRACT 3 FROM BOTH SIDES.
y + 3 (-3)= 4x - 20 (-3)
Take note of the signs and solve.
y = 4x - 23
4 is the slope.
-23 is the intercept.
Please thank, rate 5 stars, and give brainliest. Thank you.
Product and Quotient Functions
Answers
Answer:
srry don't know....
followme and mark me brainliest
which expression is equivalent to -4.5-6.2y
Answers
Answer:
the answer is 6.2y-4.5
Step-by-step explanation:
Answer:
the answer is A. -6.2y - 4.5
Step-by-step explanation:
got it right on edge, i hope this helps.
what is a cumulative gragh
Answers
Answer:
Cumulative frequency is the running total of the frequencies. On a graph, it can be represented by a cumulative frequency polygon, where straight lines join up the points, or a cumulative frequency curve.
I need help please helpp
Answers
Answer:
I believe it's B.Let me know if it's right,if it not,i'm so sorry
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The other statements incorrectly describe the transformations. C is facing a different direction and so without involving rotations it can not be the reflection of any of the other triangles.
can you help me , would this answer be 1 ?
Answers
Step-by-step explanation:
Y=90° as its a right angled triangle
A bag contains n cards, each having numbers (1,2,3...,n) written on it. If all numbers are used, the probability of drawing a card with a number less than or equal to 4 is 1/6. How many cards are in the bag?
Answers
Step-by-step explanation:
There are 4 cards less than or equal to 4.
1/6 = 4/n
n = 24
1. Solve the shape equation puzzle:
= 8
=
= 15
Answers
square =3
or the other way around
How many chirps can you expect a cricket to make in 1 min when the outside temperature is 50 ° F ? ( it’s not 75)
Answers
F = n/4 + 37, for F = 50
50 = n/4 + 37
Subtract 37 from both sides
13 = n/4
Multiply both sides by 4
52 = n
Find the extraneous solution of the equation |4x−42|=−10x.
Answers
Answer:
x=3 is the extraneous solution
Step-by-step explanation:
|4x-42| = -10x
Since it's absolute value and we know that there are two possibilities, we need two equations to set up to solve for x.
1st equation:
4x - 42 = -10x2nd equation:
4x - 42 = 10xSolve both equations for x:
1st equation:4x - 42 = -10x14x-42 = 014x=42x = 32nd equation:4x-42=10x-6x-42=0-6x=42x=-7Plug in both values for x in the original equation to find the extraneous solution:
x=-7
|4x-42|=-10x|4(-7)-42|=-10(-7)|-28-42|=70|-70|=7070=70x=3
|4x-42|=-10x|4(3)-42|=-10(3)|-30|=-3030≠-30( 32.45 - 4.8) - 2.06
Answers
Answer:
25.59
Step-by-step explanation:
The first thing that you will do is solve parenthesis (remember PEMDAS).
(32.45-4.8) - 2.06
(27.65) - 2.06
Then do the subtraction.
(27.65) - 2.06=
25.59
Hope this helps!
What is the lowest value of the range of the function
shown on the graph?
Answers
Answer:
2
Step-by-step explanation:
2