Given:
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).
To find:
The coordinates of point P.
Solution:
Section formula: If a point divide a line segment in m:n, then the coordinates of point are
[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get
[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]
[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]
[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]
[tex]P=\left(-1,4\right)[/tex]
Therefore, the coordinates of point P are (-1,4).
Help i'll give you brainliest
Answer:Step-by-step explanation:
the first one and third one
3. A certain 50 cm spring will stretch (in
cm) the weight (in kg) attached to
it. How long will the spring be if a 35
kg weight is attached to it?
Complete Question
A certain 50 cm spring will stretch (in cm) one fifth the weight (in kg) attached to it. How long will the spring be if a 35 kg weight is attached to it
Answer:
The value is [tex]L_w = 57 \ cm[/tex]
Step-by-step explanation:
The length of the spring is [tex]L = 50 \ cm = 0.5 \ m[/tex]
The mass attached to it is [tex]w = 35 \ kg[/tex]
Generally given from that the spring will stretch one fifth of the weight (in kg)attached to it , it then means that the new length of the spring whenever a weight is attached to it is mathematically represented as
[tex]L_w = L + \frac{W}{5}[/tex]
=> [tex]L_w = 50 + \frac{35}{5}[/tex]
=> [tex]L_w = 57 \ cm[/tex]
Tickets purchased online cost $90 plus a 5% fee. How much is the fee?
Answer:
$94.5
Step-by-step explanation:
Original Cost: $90
Tax: 5% OR 0.05
Tax Cost:
90 x 1.05
= 94.5
Please show your work and solve the proportion!
Answer:
x = 1/9
Step-by-step explanation:
we want to solve the proportion;
we simply cross multiply the values
Mathematically, that will be calculated as follows;
6x * 21 = 2 * 7
6x * 21 = 14
6x = 14/21
2(3x) = 2(7/21)
3x = 7/21
3x = 1/3
x = 1/3/3
x = 1/9
Use the drawing tools to form the correct answer on the number line. Graph the solution set to this inequality
[tex]3x - 12 \geqslant 7x + 4[/tex]
which of the following graphs is f(2) = 5
Answer:
None.
Step-by-step explanation:
Where are the graphs? We need the extra information to complete this problem.
HELP W MATH FINAL PLS
if a>0>b, show that 4a^2 - 5ab + b^2 >0
The population of Salisa is 12,500 and increases by 300 each month. The population of Corsair is 13,200 and increases by 200 each month. How many months will it take until the population of the two cities is the same?
It will take seven months for the population of each city to be the same.
On month seven, Salisa's population will be 14,600. (300x7=2,100+12,500=14600)
On month seven, Corsair's population will be 14,600 as well. (200x7=1,400+13,200=14600)
Which of the following is the graph of f (x) = x²
Answer:
Step-by-step explanation:
Answer:
whichever one looks like a U opening upward. the bottom of the U should be at the point (0,0) where the x and y axis meet
Which point is a solution to this system of inequalities?
y ≤1/2x-3
y+2x greater than 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D)(4,1)
The point is a solution to this system of inequalities y ≤1/2x-3 and y+2x greater than 6 are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of imbalances y ≤ 1/2x - 3 and y + 2x > 6, we want to test each answer decision to check whether it fulfills the two disparities.
A) (7,- 8):
y ≤ 1/2(7) - 3 = 0.5
y + 2(7) > 6
This point doesn't fulfill the primary imbalance, so it's anything but an answer.
B) (2,- 3):
y ≤ 1/2(2) - 3 = - 2
y + 2(2) > 6
This point fulfills the two imbalances, so it is an answer.
C) (5,- 2):
y ≤ 1/2(5) - 3 = - 0.5
y + 2(5) > 6
This point doesn't fulfill the main imbalance, so it's anything but an answer.
D) (4,1):
y ≤ 1/2(4) - 3 = - 1
y + 2(4) > 6
This point fulfills the two imbalances, so it is an answer.
Accordingly, the answers for the arrangement of imbalances are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of disparities y ≤ 1/2x - 3 and y + 2x > 6, we really want to test each answer decision to check whether it fulfills the two imbalances. Just response decisions B) (2,- 3) and D) (4,1) fulfill the two imbalances, making them the arrangements.
To learn more about inequalities, refer:
https://brainly.com/question/28895822
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21 to spin a total of $50 at the store she wants to buy 2 shirts in 3 rings for 6 each how much did the shirts cost.
which equation represents this situation
A. 50=3+2s
B. 50-2=3+6+s
C. 50=2(6)+3s
D. 50=2s+3(6)
witch one is correct
Answer:
d
Step-by-step explanation:
Answer:
50 = 2s + 3(6)
D.
Step-by-step explanation:
She brought 2 shirts = 2s
3 rings for $6 = 3(6)
Find the slope of a line parallel to each given line
Answer:
Slope: 1
Step-by-step explanation:
y = mx + b
m = Slope
y = x - 4
m = 1
Find the perimeter of triangle ABC. Approximate to the nearest whole unit.
Answer: 16 units
Step-by-step explanation: adding the perimeter sides to get the perimeter of triangle ABC would be 4.1+6.1+5.8 = 16
Answer:
16
Step-by-step explanation:
AC = 6.1
CB = 5.8
BA = 4.1
Use whole number approximations for the three side lengths.
AC = 6
CB = 6
BA = 4
perimeter = AC + CB + BA = 6 + 6 + 4 = 16
Answer: 16
Order the sides of each triangle from shortest to longest
What is the linear equation? (In y=mx+b form)
please help me answer this i will give brainliest and 5 star rating!!
3(4x+8) + 3(2x - 6)
Match the equivalent expressions
Answer:=18x+6
Step-by-step explanation:
3(4x+8)+3(2x-6)
12x+24+6x-18
12x+6x+24-18
18x+6
The equation f = V + at represents the final velocity of an object, f, with an initial velocity, w, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?
Of-v=a
Of-vra
1
Of+V = a
o+v=a
Answer:
hey
Step-by-step explanation:
the answer is 5
convert y+1= 6/11(x+11) to slope-intercept
Answer:
need more info
Step-by-step explanation:
plz comment so i know
Answer:
y = 6/11x + 5
Step-by-step explanation:
y + 1 = 6/11 (x + 11)
distribute 6/11
y + 1 = 6/11x + 6
- 1 - 1
y = 6/11x + 5
Hope this helps!!
Also, mark me brainliest thank you!!!
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What is the inverse of the function f(x) = one-quarterx – 12?
Answer:
f^(-1)(x) = 4x + 48.
Step-by-step explanation:
Is suppose the function is f(x) = 1/4 x - 12
This is equivalent to the line y = 1/4 x - 12.
To get the inverse, change the x and y:
x = 1/4 y - 12
Now solve for y:
x + 12 = 1/4 y
y = 4x + 48
So the inverse f^(-1)(x) = 4x + 48.
Answer:
f-1(x) = 4x + 48.
Step-by-step explanation:
let f(x) = y = 1/4 x - 12
We solve for x:
y = 1/4 x - 12
1/4 x = y +12
Multiply through by 4:
x = 4y + 48
The inverse f-1(x) = 4x + 48.
What is the average rate of change for [-1,2]? I need a answer please!!!!!!!!!
Answer: -2
Hope this helps :)
Regina orginally packed 10 goodies bags for her birthday party. She found out the day before the party that a few more friends would be attending so she made three additional bags for the party. Write an algebraic expression to represent the total number of candies and toys that Regina made for her birthday party.
Answer:
c + t = 13
Step-by-step explanation:
Regina originally packed 10 goodies bags for her birthday party. She found out the day before the party that a few more friends would be attending so she made three additional bags for the party. Write an algebraic expression to represent the total number of candies and toys that Regina made for her birthday party.
Let the number of candies = c
Let the number of toys = t
The total number of goodies bags she made = 10 + 3 = 13 goodie bags
Hence,
The total number of candies and toys that Regina made for her birthday party
c + t = 13
5. Write the equation in slope-intercept form. 6x + 9y = 27
Answer:
y= -6/9 x + 3
Step-by-step explanation:
subtract 6x from both sides
9y = -6x + 27
divide by 9
y= -6/9 x + 3
Answer:
Step-by-step explanation:
6x + 9y = 27
9y = -6x + 27
y = -[tex]\frac{6}{9}[/tex]x + 3
y = - [tex]\frac{2}{3}[/tex]x + 3
The daily attendance at a bowling alley was recorded for 15 days. The scatterplot
shows the number of lanes rented each day and the number of people who bowled
that day. Which statement is best supported by the sscatterplot?
HELP PLEASE :(
Answer:
I am gonna assume 4.
Step-by-step explanation:
As we can see the more people who rent out a lane, there are more people bowling.
The statement is best supported by the scatterplot is D. There is a positive linear association between the number of lanes rented and the number of people who bowl.
How does the dot plot work?Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing.
Given that daily attendance at a bowling alley was recorded for 15 days.
The scatterplot represents the number of lanes rented each day and the number of people who bowled that day.
By looking at the scatter plot graph we will have that there is a positive linear association between the number of lanes rented and the number of people who bowl.
The statement is best supported by the scatterplot is D. There is a positive linear association between the number of lanes rented and the number of people who bowl.
Learn more about dot plot here:
https://brainly.com/question/22746300
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A random sample of 20 married women showed that the mean time spent on housework by them was 29.8 hours a week with a standard deviation of 6.7 hours. If the margin of error is 3.14, find a 95% confidence interval for the mean time spent on housework per week by all married women.
Answer:
95% confidence interval for the mean time spent on housework per week by all married women.
( 26.66 , 32.94)
Step-by-step explanation:
Step(i):-
Given random sample size 'n' = 20
Mean of the sample (x⁻ ) = 29.8 hours
Standard deviation of the sample (S) = 6.7
Given Margin of error = 3.14
Step(ii):-
95% confidence interval for the mean is determined by
[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} +t_{0.05} \frac{S}{\sqrt{n} })[/tex]
We know that margin of error is determined by
[tex]M.E = \frac{t_{0.05}XS.D }{\sqrt{n} } = 3.14[/tex]
Now 95% confidence interval for the mean time spent on housework per week by all married women.
[tex](29.8 - 3.14 , 29.8+3.14)[/tex]
( 26.66 , 32.94)
plz help i will mark you brainlist this is due in 5 minutes
Answer: ion know help ur self
Step-by-step explanation:
Please can someone please help me with this one question??????
Answers:
angle K = 50 degreesangle L = 90 degreesangle KML = 40 degreesangle LMN = 140 degrees========================================================
Explanation:
Rule: The interior (inside) angles of a triangle always add to 180
K+L+M = 180
5x+9x+4x = 180
18x = 180
x = 180/18 ... divide both sides by 18
x = 10
That x value directly leads to...
angle K = 5x = 5*10 = 50 degreesangle L = 9x = 9*10 = 90 degrees (aka right angle)angle M = 4x = 4*10 = 40 degreesAs a check,
K+L+M = 50+90+40 = 180
This confirms we have the right x value.
--------------------------
We can further say,
angle KML = interior angle M = 40 degreesangle LMN = 180 - (angle KML) = 180 - 40 = 140 degreesnote how interior angles K and L add to exterior angle LMN
50+90 = 140
This is an application of the remote interior angle theorem.
Answer:
Angle K = 50
Angle L = 90
Angle KML = 40
Angle LMN = 140
Step-by-step explanation:
Solve for x. We know that triangles' interior angles add up to 180.
So, we can set the values to equal to 180 and solve for x.
5x + 9x + 4x = 180
Simplify.
18x = 180
Now, divide by 18.
x = 10
Now, plug 10 in for each angle.
Angle K = (5 * 10) = 50
Angle L = (9 * 10) = 90
Angle KML = (4 * 10) = 40
For this last angle, we use the supplementary theorem that says "angles that are supplementary to each other add up to 180".
So, we do angle LMN + 40 = 180
Angle LMN = (180 - 40) = 140
#teamtrees #WAP (Water And Plant)
Which is the graph of f(x) = 3
?
})?
Answer:C
Step-by-step explanation:
A $400 table is on sale for 33% off. There is a 6.8% sales tax. How would you find the final price of the table?
Answer:
if i am right it 260
Step-by-step explanation: