Consider the line segment PQ with endpoints P(- 3, - 2) and Q(2, 3). Which point divides the line segment directed from P to Q in the ratio of 3:2?
Answers
Answer:
(0,1) point C
Step-by-step explanation:
the line segment PQ is divided into 5 parts ( 3parts +2 parts)
Is very important that you keep the direction correct from P to Q
The point C divides the PQ into 3:2 ratio
(0, 1) is the point that divides the line segment directed from P to Q in the ration of 3 : 2.
Vectorially speaking, we determine the the location of the point that divides the line segment in the ratio of [tex]a : b[/tex].
[tex]R(x,y) = P(x,y) + \frac{a}{a+b}\cdot [Q(x,y) - P(x,y)][/tex] (1)
Where:
[tex]P(x,y)[/tex], [tex]Q(x,y)[/tex] - Endpoints.[tex]R(x,y)[/tex] - Resulting point.If we know that [tex]P(x,y) = (-3, -2)[/tex], [tex]Q(x,y) = (2, 3)[/tex], [tex]a = 3[/tex] and [tex]b = 2[/tex], then the location of the resulting point:
[tex]R(x,y) = (-3, -2) + \frac{3}{5}\cdot [(2,3)-(-3,-2)][/tex]
[tex]R(x,y) = (-3,-2) +\frac{3}{5}\cdot (5, 5)[/tex]
[tex]R(x,y) = (-3, -2) + (3,3)[/tex]
[tex]R(x,y) = (0, 1)[/tex]
(0, 1) is the point that divides the line segment directed from P to Q in the ration of 3 : 2.
We kindly invite to check this question on line segments: https://brainly.com/question/23297288
Related Questions
Mrs. Murphy by balloons garlands paper lanterns and banners to decorate a school party she got three times as many bags of balloons as paper lanterns seven more garlands than paper lanterns and for banners she paid $5.25 for each banner $6.50 for each paper lantern five dollars for each bag of balloons and $3.50 for each garland how many of each kind of decoration did she purchase if she paid $145.50 please help
Answers
Answer:
Mrs. Murphy bought 4 packages of paper lanterns, 12 bags of balloons, 11
garlands and 4 banners
Step-by-step explanation:
I'm not really sure how I got this but it hope it helps!
Sabi has $2.50 more than Toni. Together they have $17.50. How much does Toni have?
Answers
Answer:
6.25
Step-by-step explanation:
17.50/2=8.75
8.75+2.50=11.25
17.50-11.25=6.25
Answer:
Toni has $7.50
Step-by-step explanation:
Tobi = x
Sabi = x + 2.5
x + x + 2.5 = 17.5
2x + 2.5 = 17.5
2x = 15
x = 7.5
Caitlyn recorded the height of each plant after she exposed each plant to a set amount of darkness daily. The scatterplot shows her results after 2 weeks of exposing each plant to the amount of darkness.
A graph titled Plant Growth has hours of darkness on the x-axis, and height of plant (inches) on the y-axis. Points are grouped closely together and decrease. Point (17, 12) is above the cluster.
Which statement about the scatterplot is true?
The point (17, 12) could cause the description of the data set to be overstated.
The point (17, 12) could cause the description of the data set to be understated.
The point (17, 12) shows that there is no relationship between the number of hours of darkness and the height of the plant.
Although (17, 12) is an extreme value, it should be part of the description of the relationship bet
Answers
Answer:
B. The point (17, 12) could cause the description of the data set to be understated.
Step-by-step explanation:
All other points on the scatter plot except point (17, 12), all follow a similar trend showing the negative relation between height of plants and darkness. If we are to consider just point (17, 12) alone when describing the data set, we might likely understate the relation between both variables.
Therefore, the statement that is true about the scatter plot is "B. The point (17, 12) could cause the description of the data set to be understated."
Answer:
hello love! your answer is B :)
Step-by-step explanation:
i got a 100%
Maria found three pleces of wire in her tool drawer. Here are their lengths (In centimeters).
15.28, 19, 6.53
What is the total length of the three pieces?
Answers
Answer:
40.81 centimeters is the corrects answer. use addition to add them all together
Please Help!!! Need tonight! No fake links or I WILL report you!
In function graphing, if there is no amplitude change (mainly looking for tangent), what do you write? 1?
Answers
Answer:
The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on −π2 to π2 , we can see the behavior of the graph on one complete cycle.
The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes..
so its not 1 but 2.
hope its right.
Please help!!! I’ll give you the Brainly mark
Answers
Answer:
4
Step-by-step explanation:
just look at the graph and find where y is -5 the correlating point is 4
help asap! will give brainliest!
Answers
Answer:
Step-by-step explanation:
Given the exponential function A(x)= P (1+r)^x, what value for r will make the function a decay function
Answers
Answer:
negative value for r
Step-by-step explanation:
Given data
Given the exponential function A(x)= P (1+r)^x
A negative value for r will make the function a decay
Hence the decay function will look like
A(x)= P (1-r)^x
Leslie invested in an account that paid 2% annual interest compounded continuously. After 40
years, her investment was worth $6231.51. To the nearest dollar, what was the value of
Leslie's original investment?
Answers
Ow1939499292919
I need help so yea please help
Answers
Answer:
option 3
Step-by-step explanation:
divide the diameter by 2 to get the radius.
pi×r^2
3.14×42^2=5538.96 km^2
Rewrite the equation in standard form.
x^2=−x−3
Standard form: ____ =0
Answers
Answer:
x^2+x+3=0
Step-by-step explanation:
x=-(1+√1-12)/2
I will give brainiest
Answers
Answer:
A is equal to 20.
Step-by-step explanation:
To find the missing side we have to square both 21 and 29.
Because 21 x 21 = 441, and 29 x 29 = 841, all we have to do is subtract 841 from 441 and we have 400.
Now we have to find the square root of 400, since 20 x 20 = 400, that means 20 is our answer.
SOMEONE HELP ME PLEASE !! THANK YOU
A rectangle has a a perimeter of 68 ft. The length and width are scaled by a factor 1.5.
The perimeter of the resulting rectangle is ___ ft.
Answers
Answer and Step-by-step explanation:
Here is the equation for finding the sides (just to show):
68 = (2L + 2W)
We multiply L and W by 2 because there are two of the lengths and 2 of the widths.
Now, we add the scale factor to the outside, but on both sides of the equation.
68 × 1.5 = 1.5(2L + 2W)
Multiply 68 by 1.5.
102 = 1.5(2L + 2W)
The answer is 102.
The perimeter of the resulting rectangle is 102 ft.
#teamtrees #PAW (Plant And Water)
A simple impact crater on the moon has a diameter of 15 kilometers. A complex impact crater has
a radius of 30 kilometers. How much greater is the circumference of the complex impact crater than
the simple impact craters?
Answers
Answer:
141.3 km
Step-by-step explanation:
First crater has the radius (that is, half the diameter) of 7.5 km; the circumference of this crater is C = 2(pi)r, or 2(3.14)(7.5 km) = 47.1 km;
Second crater radius is C = 2(pi)(30 km) = 188.4 km
The circumference of the complex (larger) impact crater is
(188.4 - 47.1) km greater than the circumference of the simple (smaller) crater:
141.3 km
The radius of a circular stage is 15 feet. Katie wants to lay down tile to cover the stage. If Katie pays $12.50 per square foot of tile, how much would it cost to tile the entire stage floor? Round to the nearest whole dollar.
Answers
Answer:
$8835.75
Step-by-step explanation:
The equation to use for this is for the area of a circle which is:
π r^2
So by plugging in 15 feet:
π 15^2,
π 225,
~706.86 ft^2.
Next, multiply this by the $12.50 per square foot.
706.86 * 12.50 = $8835.75
All done!
Given the following table, what is the quadratic equation?
X
у
1
2
2
5
10
3 4
17
O A 2x2 + 1
o B. x2 + 1
o C. 4x2 + 1
OD. 2x2 + x + 1
Answers
Answer:
Answer B.
x² + 1
Step-by-step explanation:
x=1
Input x= 1 into x²+1 to get y
(1)²+1 = 2
when x=2
(2)²+1 = 5
when x = 3
(3)² + 1 = 10.
when x=4
(4)² + 1 = 17
Hence Option B
The debate team bought 20 matching T-shirts to split among its members. Each member of the team will get t T-shirts. Write an expression that shows how many people are on the debate team.
Answers
Answer:
20/t members are on the team
Step-by-step explanation:
From the question, we want to get the number of people on the team
20 T-shirts were bought
each of the team members got t T-shirts
To know the number of people on the team, we have to divide the number of shirts bought by the number of shirts gotten by each team member
We simply have this as 20/t
Answer the statistical measures and create a box and whiskers plot for the following set of data.
1, 1, 6, 10, 12, 13, 13, 14, 16, 19
Min:
Q1:
Med:
Q3:
Max:
Answers
Answer:
min 1
Q1 = 6
med = 12.5
Q3 = 14
Max = 19
Step-by-step explanation:
Min simply refers to the smallest value and that is 1
Q1 is the first quartile and the formula is;
Q1 = (n+ 1)/4
where n is the number of terms which is 10
Q1 = (10 + 1)/4 = 2.75
This is approximately 3 and the 3rd term is 6
med is the median value and that is 12 + 13 = 25/2 = 12.5
Q3 is the third quartile
Q3 = 3(n+ 1)/4 = 8.25 and that is the 8th term which is 14
Max is simply the highest in value and that is 19
write in point-slope form (-4,-3) m=-1
Answers
Answer:
Point-slope form: y + 3= -1(x + 4)
Slope-intercept form: y = -1x - 7
y = m * x + b,
where:
m is the slope; and
b is the intercept of the y-axis.
Can somebody help me with this im pretty bad with coordinates ty in advance!
Answers
Answer:
5 units
Step-by-step explanation:
4^2 + 3^2 = 25
sqr root 25 is 5
Answer:
The distance from P to Q is
D. 5 units
please HELPPPP me !!!!!
Answers
Answer:
[tex]y = 4x - 3\\Slope \ m_1 = 4[/tex]
EQUATION OF LINE PERPENDICULAR
[tex]Lines \ are \ perpendicular => m_1 \cdot m_2 = -1\\[/tex]
[tex]slope, m_2 = \frac{-1}{4}[/tex]
[tex]equation \ of \ the\ line \ passing \ through \ (-2, 2) \ slope ,m_2 :\\(y - y_2) =m_2(x - x_2)\\ (y - 2) = \frac{-1}{4} (x -(-2))\\\\y - 2 = \frac{-1}{4} (x +2)\\\\y = \frac{-1}{4}x - \frac{1}{2} + 2\\\\y = \frac{-1}{4}x + \frac{3}{2}[/tex]
EQUATION OF LINE PARALLEL
[tex]Lines \ are \ parallel => m_1 \cdot m_3 = 1\\slope, m_3 = \frac{1}{4}[/tex][tex]Equation \ of \ the \ line \ through \ (-2, 2) \ and \ slope, m_3:\\(y - y_3) =m_3(x - x_3)\\\\(y-2) = \frac{1}{4} (x - (-2))\\\\y-2 = \frac{1}{4}(x+2)\\\\y = \frac{1}{4}x + \frac{1}{2} +2\\\\y = \frac{1}{4}x + \frac{5}{2}[/tex]
what is the y intercept of this quadratic function
Answers
Answer:
the y-int is at the point (0,3)
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
f(x)=x²+2x+3
x=0
f(0)=0²+2×0+3
f(0)=3
y=3
(0,3)
Peter wants to purchase a car that costs $3,200. He signs an installment agreement
requiring a 25% down payment. He currently has $650 saved. Does he have enough for the Down payment
Answers
Answer:
the answer is No
Step-by-step explanation:
he needs $800 yet he only has $650, he will need $150 more
The given circle has radius r = 22. If \thetaθ = 141 degrees, what is the area of sector L?
Answers
Answer:
[tex]595.54[/tex]
Step-by-step explanation:
The formula for a sector of a circle with angle [tex]\theta[/tex] is [tex]\frac{\theta}{360}\cdot r^2\pi[/tex].
Substituting given values, we have:
[tex]\frac{141}{360}\cdot 22^2\pi\approx \boxed{595.54}[/tex]
A movie theater sells small and large boxes of popcorn. A small box of popcorn costs $1.50. A large box of popcorn costs $4.00. A total of 25 boxes of popcorn were sold totaling $75.00.
Answers
WILL MARK BRAINLISET IF GOTTEN RIGHT!!
Answers
Answer:
12 cm
Step-by-step explanation:
OP = √(15² - (18/2)²)
=√(225- 9²)
=√(225-81)
=√144
= 12
4. My son's age is of my wife's age, my wife's age is of my age, and my age is of my father's age. Find
age of my son, if my father is 50 years old
Answers
Answer:
50?
Step-by-step explanation:
Answer:
The age of son is 50.THANK YOU.
What is the area of the kite?
Answers
Answer:
1.125 ft²
Step-by-step explanation:
Take the height and the diagonals, multiply, and then divide by 2
What is the discriminant of Y=9x^2-3x-2???????
Answers
Answer:
Discriminant= b²-4ac
a = 9 b = -3 and c = -2
Discriminant = (-3)² - 4(9)(-2)
= 9+72
Discriminant = 81
Ans = 81
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a red blood cell is 7x10^-6m in diameter. there are about 2x10^-13 red blood cells in a 125-lb person. if all of the red blood cells were lined up end to end, how long would the line be? write your answer in scientific notation
Answers
Answer:
To determine this simply multiply the values together to determine the final distance.
Step-by-step explanation:
The product of red blood cell diameter for a single blood cell multiplied by the number of red blood cells that are found within a person would enable you to find the total distance the cells would be if it were to be lined end to end.
Answer:
Step-by-step explanation:
(7 × 10^-6)(2 × 10^-13): Original Equation
(7 × 2)(10^-6 × 10^-13): Commutative Property of Multiplication (Just switched the numbers)
(14 × 10^-19): Simplify (Since you are multiplying numbers with exponents, just add the exponents: -6 +(-13) = -19)