Three points, P, Q, and R, lie on the same line such that Q lies between P and R. Find PR if PQ = 11 and QR = 13. Question 17 options: A) 2 B) 13 C) 11 D) 24
Answers
you just need to add the two segments together
The distance between points P and R is 24 units.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
Given that,
Three points P, Q and R lie on the line.
The distance between PQ = 11,
And the distance between QR = 13.
Since, All the points are on same line,
Therefore, The distance between points P and R,
PR = PQ + QR
PR = 11 + 13
PR = 24
The required distance of PR is 24 units.
To know more about Algebra on:
https://brainly.com/question/24875240
#SPJ2
Related Questions
Over what interval is the function in this graph decreasing?
A. -10 sxs-4
O B. 2 sxs6
O C. 6 sxs 10
O D. -4sxs 2
Answers
Answer:
The answer is D.
Step-by-step explanation:
Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
X:2,4,8,12 Y:6,3,3/2,1
Answers
Answer:
- Inverse Variation
- Equation: [tex]XY = 12[/tex]
Step-by-step explanation:
Given
X-> 2 | 4 | 8 | 12
Y-> 6 | 3 | 3/2 | 1
Required
- State the type of variation the table represents
- Determine the equation to model the data
To check for type of variation; we'll make use of trial by error method.
To start with; We'll check for direct variation.
This is done using the following expression;
[tex]Y = kX[/tex]where k is the constant of variation
Make k the subject of formula
[tex]k = \frac{Y}{X}[/tex]
When Y = 6, X= 2
[tex]K = \frac{6}{2} = 3[/tex]
When Y = 3, X = 4
[tex]K = \frac{3}{4}[/tex]
There's no need to check further as both values of k are not equal
To check for inverse variation;
[tex]Y = \frac{k}{X}[/tex]
Make k the subject of formula
[tex]k = YX[/tex]
When Y = 6, X= 2
[tex]K = 6 * 2 = 12[/tex]
When Y = 3, X = 4
[tex]K = 3 * 4 = 12[/tex]
When Y = 3/2; X = 8
[tex]K = \frac{3}{2} * 8 = \frac{24}{2} = 12[/tex]
When Y = 1, X = 12
[tex]K = !2 * 1 = 12[/tex]
Note that for all values of X and Y, K remains constant;
Hence, the table represents an inverse direction
To determine the equation;
We make use of [tex]k = YX[/tex]
Substitute 12 for k
So, the equation becomes
[tex]12 = XY[/tex]
Reorder
[tex]XY = 12[/tex]
Hence, the equation is [tex]XY = 12[/tex]
8
Do not write
outside the
box
9
A company sells houses
The line graph shows the number sold per week for 30 weeks.
Houses sold
9
8
7
Number 6
of weeks 5
4
3
2
1
0
0
5
1 2 3 4
Number of houses
9 (a)
Work out the range of the number of houses sold per week.
[2 marks]
Answers
Why am I just finding this?
what ordered pairs are the solutions of the system of equations shown in the graph below
Answers
Answer:
Step-by-step explanation:
One solution would be (1, -4), and the other would be (4, -7).
The ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).
What is ordered pair?The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.
In a order pair the first term indicates the x-coordinate, while the second term indicate the y-coordinates. The ordered pair are written in close bracket in the following way.
[tex](x,y)[/tex]
System of equation-
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.For the two equations plotted on a graph, the solution of the system is the point where one line intersect with others.In the given graph, one linear line and one parabola is shown. In this graph the parabola intersect with the line at point (1,-4) and (4,-7).
Thus, the ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).
Learn more about the ordered pair here;
https://brainly.com/question/5754926
#SPJ2
Find the area of the equilateral triangle
Answers
Answer:
Step-by-step explanation:
Suppose that the side length is s. Imagine that one side is level. Draw a vertical line through the top vertex perpendicular to the base (level side). Label this vertical line "h." Then h and s are related as follows:
√3 h
sin 60 degrees = ------- = --------
2 s
s√3
and so h = the height of the triangle = -----------
2
The area of this triangle is (1/2)(base)(height), which here is:
(1/2)(s/2)( s√3 /2), or
(s^2)√3
A = ---------------
8
What should be subtracted from -5/4 to get -1? (i) -1/4 (ii) 1⁄4 (iii) 1 (iv) -3/4
Answers
Answer:
It's -1.
Step-by-step explanation:
-5/4 - (-1/4) = -1.
Answer:
Step-by-step explanation:
-1 - ( -5/4 )
= -1 + 5/4
1/4
Hope this helps
plz mark as brainliest!!!!
Solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth.
Answers
Sin(33) = x/15
15sin(33) = x
x = 8.2
Shayma pays £240 per week in rent. Her Landlord decides to decrease it by 2.5%. How much rent does she pay now?
Answers
Answer:
£ 234solution,
Shayma pays £240 per week in rent.
Landlord decreases rent by 2.5%
as 2.5% =2.5/100=0.025
So, decrease in rent;
[tex]240 \times 0.025 \\ = 6[/tex]
Current rent:
240-6£ 234Hope this helps...
Good luck on your assignment..
PLZ HELP!! HURRY!!!30POINTS!!
Answers
Answer & Step-by-step explanation:
For this problem, we will be using the tangent trig ratio because we are dealing with the opposite side and the adjacent side of the triangle. Although cosine may be a good ratio to use as well, it is not the best ratio to use because if you were to use the cosine ratio, you will have more steps to complete in order to solve the problem. Plus, we are not dealing with the hypotenuse side of the triangle. Therefore, it is best to use the tangent ratio because it is more efficient and it corresponds to the side lengths we are using.
On the next page, we are given a Venn Diagram. We are asked to tell the difference between finding the angle and finding the side. Then, we are asked to find the similarity between them.
When solving for the unknown side, you have to flip the equation because one of the sides will be known as a variable.
When solving for the unknown angle, you have to use the inverse of the trig ratio that you are using for that problem.
The similarity between the two is that they will always use one of the trig ratios.
Topic: Parallel and Perpendicular Lines
Progress
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answe
Match the information on the left with the appropriate equation on the right.
An equation perpendicular to y = {x + 3 through the point (4, - 1)
An equation parallel to y = = 3x - 4
w
Clear
Click and hold an item in one column, then drag it to the matching item in the other colu
target will highlight or the cursor will change. Need help? Watch this video.
Answers
Answer:
Step-by-step explanation:
an equation perpendicular to the equation given will have a slope of -1, because a perpendicular slope is opposite and reciprical. if it goes through the point 4,-1 and has a slope of -1, the y intercept has to be 3. y = -x + 3
parallel lines have to have the same slope of 3.
Answer:
The answer is A oon EDG
Step-by-step explanation:
In a right triangle, one acute angle measures 50°. What is the measure of the other acute angle?
Answers
Answer:
40°
Step-by-step explanation:
The triangle is a right triangle, so one measure of one of the angles is 90 degrees.
One acute angle measures 50 degrees.
Angles in a triangle add up to 180 degrees.
180 - 90 - 50
⇒ 40
The measure of the other acute angle is 40 degrees.
Acute angles measure less than 90 degrees. 40 degrees is less than 90 degrees, so it is an acute angle.
The measure of the other acute angle is 40°.
Given that, in a right triangle, one acute angle measures 50°.
What is a right triangle?A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.
Let the measure of other acute angle be x.
Using angle sum property of a triangle, we get
90°+50°+x=180°
⇒ x=180-140
⇒ x=40°
Therefore, the measure of the other acute angle is 40°.
To learn more about the acute angle visit:
https://brainly.com/question/22949981.
#SPJ2
A triangle is rotated 90° about the origin. Which rule describes the transformation?
O (x, y) (-x,-y)
O (x,y) (-y, x)
O (x,y) (-y,-x)
O (x,y) → (y, -x)
Answers
Answer:
second option
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- y, x )
The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
Rotation is a process in which the orientation of a given figure is changed by turning it about a point called origin. The rotation can be done either clock-wisely or counterclockwise about the origin.
If the given triangle is rotated 90° clockwise, the rule that describe the transformation is; (x, y) - (y, -x)
If the given triangle is rotated 90° counterclockwise, the rule that describe the transformation is; (x, y) - (-y, x)
In the given question, the required rule is; (x, y) - (y, -x). This shows a clockwise rotation of 90° about the origin.
Hence, The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.
To learn more on transformation click:
brainly.com/question/20211457
#SPJ7
You work summer construction, and your hours may vary depending on the weather. The following table provides the number of hours you worked each day for the past week. On average, how many hours did you work per day? Sun. Mon. Tues. Wed. Thurs. Fri. Sat. Hours 5.5 12 9.5 11 7 10 8 8 9 10.5 12.6 63
Answers
Answer:
9
Step-by-step explanation:
The average is just another word for mean. You get the mean by adding all the numbers in a data set and then dividing by the number you added.
simplify the expression. y^2Y^3/y^Y-2 a y^5 b y^4 c y^3 s y^6
Answers
Answer:
I guess that the expression is:
(y^2*y^3)/(y*y^(-2))
remember this two relationships.
a^x*a^y = a^(x + y)
(a^x)/(a^y) = a^(x - y).
then we have:
y^2*y^3 = y(2 + 3) = y^5.
and
y*y^(-2) = y^(1 + (-2)) = y^-1
then our expression can be written as:
(y^2*y^3)/(y*y^(-2)) = y^5/y^(-1) = y^(5 - 1) = y^4.
Then the correct option is b: y^4
Hi . Please help with any of these questions.
1. A man has in his pockets seventy five 50 kobo notes , Fifty 5-kobo coins and forty 10 -kobo coins . How much does he have all together in his pocket ?
A. N37.50
B. N40.00
C. N44.00
D. N46.50
E. N49.00
Please also help me with the one in the picture
Note:
100 Kobo = N1
1k = N0.01
Answers
Answer :
C. N44.00Cost price = N800 = DWhat is the domain of this function
Answers
Answer:
Domain { -1,3,5}
Step-by-step explanation:
The domain is the input to the function
Domain { -1,3,5}
The first column is always domain
Fernando has 338 photographs. If he can fit 4 photographs per page in his photo album, how many photographs will be on the last page of the album if every other page is filled?
Answers
Answer:
2 photographs
Step-by-step explanation:
338 devided by 4 is 84.5, so then 4 x 84 is 336 leaving 2 photographs as the remainder
Answer:
2 photos on the last page
Step-by-step explanation:
Notice that 4 times 84 is 336, so in 84 pages he can get 336 photographs, there are just 2 left to complete the 338 he had. So the last page gets 2 photos.
you invest $1000 in an account at 2.5% per year simple interest. How much will you have in the account at the beginning of the 4th year? Round your answer to the nearest whole dollar. A. $1075 B. $3250 C. $1088 D. $1163
Answers
Answer:
Step-by-step explanation:
I = PRT
P = 1000
R = 2.5% or 0.025
T = 4
I = (1000)(.025)(4)
I=100
1000+100=1100
but the answer choices???
Which of the following is a unit of measurement used in the apothecary system?
A. Meter
B. Micrograms
C. Liters
D. Drams
Answers
Please help Brainly answer I will crown
Answers
30m + 45m = 150 pls help!
Answers
Answer:
m = 2
Step-by-step explanation:
30m + 45m = 150
75m = 150
m = 150/75
m =2
Answer:
m = 2
Step-by-step explanation:
30m + 45m = 150
75m =150
÷75 ÷75
m = 2
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 576 milliliters of the drug, how many milliliters of compound A are needed?
Answers
Answer: 216 millilitres
Step-by-step explanation:
From the question, you are given that there are 3 milliliters of compound A used for every 5 milliliters of compound B. That means compound A and B are in ratio 3 to 5. That is,
A : B = 3 : 5
If a chemist wants to make 576 milliliters of the drug, then find the ratio of compound A.
To do that, first add the ratio of both together, 3 + 5 = 8
For compound A,
3/8 × 576
1728/8 = 216 millilitres
Therefore, 216 millilitres of compound A are needed.
Convert the fraction 19/20 into a decimal
Answers
Step-by-step explanation:
19/20 in decimal form is 0.95
Answer:
0.95
Step-by-step explanation:
19 ÷ 20
Divide.
= 0.95
Select the function that defines the given sequence. -11,-8,-5,-2,1,.... A. f(1)=-11 f(n) = f(n+1) + 3; for n = 2,3,4,.... B. f(1)=-11 f(n) = f(n-1) -3; for n = 2,3,4,.... C. f(1)=-11 f(n) = f(n-1) + 3; for n = 2,3,4,.... D. f(1)=-11 f(n) = f(n+1) - 3; for n = 2,3,4,....
Answers
Answer:
f(1) = -11
f(n) = f(n-1) +3 n=2,3,4,5
Step-by-step explanation:
-11,-8,-5,-2,1,....
We are adding 3 each time
-11 +3 = -8
-8+3 = -5
f(1) = -11
Take the previous term and add 3
f(n) = f(n-1) +3 n=2,3,4,5
math question will give brainliest for the right answer
Answers
Answer:
53 sweets.
Step-by-step explanation:
The mean out of 10 bags of sweets is 42. That means that all the numbers of sweets added up would be 420.
39 + 40(2) + 41(5) + 43 + x = 420
39 + 80 + 205 + 43 + x = 420
367 + x = 420
x = 53.
So, in the 10th bag, there are 53 sweets and a sugar high for whoever eats that many sweets.
Hope this helps!
Answer:
X=53 sweets
Step-by-step explanation:
calculate the length of the unknown side of this right angled triangle
Answers
Answer:
≈ 12.05
Step-by-step explanation:
Pythagora
x = √(9² + 8²)
= √(81 + 64)
= √145
≈ 12.05
help will give brainliest
Answers
Answer:
C. (-5, -7)
Step-by-step explanation:
This is correct because the points in Q3 are all negative and C is the only one that contains both negative numbers!
PLEASE MARK BRAINIEST AND HOPE THIS HELPS!!
Answer:
Ans is C(-5, -7)
Step-by-step explanation:
We know that in first quadrant all are positive and in second x is negative and y is positive and in third all are negative ans in four x is positive and y is negative so according to c option it,s the only one that lie in third quadrant because it has both value negative
When plotting on a scatter plot, is the time x or y?
Answers
Analyze the diagram below and complete the instructions that follow.
Given that the two rectangular prisms are similar, find the scale factor and the ratio of their surface areas.
Answers
Step-by-step explanation:
[tex]scale \: factor = \frac{7}{28} = \frac{1}{4} \\ [/tex]
[tex] ratio \:of \:surface \:areas\\
=\frac{2[5\times 7 + 7\times 3+3\times 5]}{2[20\times 28+ 28\times 12+12\times 20] }\\\\
=\frac{[35 + 21+15]}{[560+ 336+240] }\\\\
=\frac{71}{1136}\\\\
=\frac{1}{16}\\\\
= 1\: :\: 16[/tex]
What fraction of the students are girls give your answer in its simplest form
Answers
Answer:
45% of students are female or 15/32
Step-by-step explanation:
We find out their is 72 Boys and 60 Girls
We add both together to get 132 Students
Then we divide to get our number/fraction
60/132 = 15/32 or 45%
MARK AS BRAINLIEST