Answer:
Step-by-step explanation:
please include a picture of the question! :)
PQR shown in the figure below is transformed into STU by a dilation with center (0, 0) and a scale factor of 3
Answer:
Step-by-step explanation:
Given question is incomplete; here is the complete question.
∆ PQR shown in the figure below is transformed into ∆ STU by a dilation with center (0, 0) and a scale factor of 3.
Complete the following tasks,
- Draw ΔSTU on the same set of axes.
- Fill in the coordinates of the vertices of ΔSTU.
- Complete the statement that compares the two triangles.
When ΔPQR is transformed into ΔSTU by a dilation with center (0, 0) and a scale factor of 3,
Rule to followed to get the vertices of ΔSTU,
(x, y) → (3x, 3y)
P(1, 1) → S(3, 3)
Q(3, 2) → T(9, 6)
R(3, 1) → U(9, 3)
Length of QR = 2 - 1 = 1 unit
Length of PQ = [tex]\sqrt{(3-1)^2+(2-1)^2}=\sqrt{5}[/tex] units
Length of PR = 3 - 1 = 2 units
Length of ST = [tex]\sqrt{(9-3)^2+(6-3)^2}=3\sqrt{5}[/tex] units
Length of TU = 6 - 3 = 3 units
Length of SU = 9 - 3 = 6 units
Therefore, ratio of the corresponding sides of ΔPQR and ΔSTU,
[tex]\frac{\text{PQ}}{\text{ST}}=\frac{\text{QR}}{\text{TU}}=\frac{\text{PR}}{\text{SU}}[/tex]
[tex]\frac{\sqrt{5}}{3\sqrt{5}}=\frac{1}{3}=\frac{2}{6}[/tex]
[tex]\frac{1}{3}=\frac{1}{3}=\frac{1}{3}[/tex]
Since ratio of the corresponding sides are same,
Therefore, ΔPQR and ΔSTU are similar.
Kini and Duke are each working during the summer to earn money in addition to their weekly allowance, and they are saving all of their money. Kini earns $9 an hour at her job, and her allowance is $8 per week. Duke earns $7.50 an hour, and his allowance is $17 per week. How many hours do Kini and Duke need to work in order to save the same amount of money in one week?
Answer:
Step-by-step explanation:
9x + 8 = 7.5x + 17
1.5x = 9
x = 6 hours
Maya is on a game show. To win $1,000,000, she must answer this question: What key features are necessary-and how are the features used-to create the sketch of a polynomial function? What is Maya's winning answer? Explain in complete sentences
Answer:
To create the sketch of a polynomial function there are key features are necessary and these are the vertex, axis of symetry, x and y intercepts
Step-by-step explanation:
To create the sketch of a polynomial function there are key features are necessary and these are the vertex, axis of symetry, x and y intercepts
One of the key features arte the vertex and this shows where it changes concativity.
While the x and y intercepts give you a couple of points of reference.
Also, the axis of symetry is only applicable to even degree polynomials
Clothing donations are collected to help a family in need. The function g(x) represents the number of items collected where x is the number of people who donated. Does a possible solution of (60, 10) make sense for this function? Explain your answer.
Answer:
No, it doesn't make sense because the output is not feasible.
Step-by-step explanation:
We are told that the function g(x) represents the number of items collected.
Now, we are also told that x is the number of people who donated.
Now, if we want to consider a possible solution of (60, 10) .
It means, we now have; g(60) = 10
This means that 60 people donated and 10 items were collected.
It doesn't make sense that 60 people donated items and only 10 items were available to be collected.
Thus, we can say that ;
No, it doesn't make sense because the output is not feasible.
Find the volume of a rectangular prism with a height of 18 if the base has a length of 9 and a width of 17.
Select one:
O a. 2678 units cubed
O b. 2049 units cubed
O c. 2754 units cubed
O d. 2957 units cubed
Hey there! I'm happy to help!
To find the volume of a rectangular prism, you simply multiply each of the three different sides!
18×9×17=2754
Therefore, the volume of this rectangular prism is c. 2754 units cubed.
Now you can find the volume of a rectangular prism! Have a wonderful day!
Function (True/False)
Answer:
yes it is a function
Step-by-step explanation:
Mathematics
In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Answer:
False
Step-by-step explanation:
A function has only 1 y value for any given x value.
You can use the "vertical line test" to check if a graph is of a function. Move a vertical line (you can use the edge of a ruler) from left to right across the graph. If at any point the line intersects the curve in two or more places, the curve is not a function.
Giải phương trình: 3x^2 + 3x - 6 = 0
Answer:
x=1
x=-2
Step-by-step explanation:
(3x-3)(x+2)
x=1
x=-2
Charlie is laying down mulch in his front yard. It takes Charlie 4 minutes to lay down 11 cubic yards of mulch and
16 minutes to lay down 44 cubic yards of mulch.
Plot five data points and the line that represent this direct variation relationship.
Answer with explanation:
Given: Charlie is laying down mulch in his front yard. It takes Charlie 4 minutes to lay down 11 cubic yards of mulch and 16 minutes to lay down 44 cubic yards of mulch.
Here, Time(Independent variable (x)) is directly proportion to the Volume of mulch(dependent variable (y)) lied by Charlie.
Let k be the constant of proportionality, such that
[tex]k=\dfrac{y}{x}[/tex]
For x= 4 and k= 11, [tex]k=\dfrac{11}{4}[/tex]
Required equation: [tex]y=\dfrac{11}{4}x[/tex]
Two points are given in question: (4,11) , (16,44).
Take x= 8 , [tex]y=\dfrac{11}{4}(8)=22[/tex]i.e. point (8,22)
Similarly, for x= 12, y=33 i.e. point (12, 33)
For x= 20 , y= 55 i.e. point (20,55)
Five data points: (4,11) , (16,44), (8,22), (12, 33), (20,55).
Now, we plot these points on graph and join them
Answer:
Here
Step-by-step explanation:
If (Fx) = Square root 4x+9+ 2, which inequality can be used to find the domain of f(x)?
A.Square root 4x is greater than or equal to zero
B.4x +9 is greater than or equal to 0
C. 4x is greater than or equal to 0
D.Square root 4x+9 +2 is greater than or equal to 0
Answer:
Third one 4x+9
Step-by-step explanation:
We khow that any any real number inside the root should be positive
Our root is [tex]\sqrt{4x+9}[/tex]4x+9 shoul be positive wich can be expressed mathematically by:
4x+9≥0
What is the surface area of the regular pyramid? What is the surface area of a square pyramid with a height of 10.4 m and a base side length of 12.4 m? a. 141.4 cm c. 167.4 m b. 162.4 cm d. 188.4 cm
Answer:
A. 141.4 cm
Step-by-step explanation:
The piramide is 141.4cm
Find the product.
(6a + 3b)(a - b)
Enter the correct answer.
Answer:
See below.
Step-by-step explanation:
[tex](6a+3b)(a-b)\\[/tex]
Distribute:
[tex]=(6a+3b)(a)-(6a+3b)(b)\\=6a^2+3ab-(6ab+3b^2)\\=6a^2+3ab-6ab-3b^2\\=6a^2-3b^2-3ab[/tex]
Answer:
6a^2-3b^2-6ba+3ba
Step-by-step explanation:
(6a+3b)(a+b)....expand the term
6axa - 6axb + 3bxa - 3b×b ....simplify
6a^2 - 6ba + 3ba - 3b^2, then reorder so highest order terms come first
6a^2 - 3b^2 - 6ba + 3ba
Two sides of a square are divided into fourths and another side of the square is trisected, as shown. A triangle is formed by connecting three of these points, as shown. What is the ratio of the area of the shaded triangle to the area of the square? Express your answer as a fraction.
==========================================================
Explanation:
Let's say this is a 1 by 1 square. The area is 1*1 = 1 square unit. Whatever the area of the triangle is, we divide it over 1 and it will yield the same value as the area of the triangle. In other words, the area of the triangle will be the answer.
Along the top we have 3 ticks to indicate the top segment has been cut into 3+1 = 4 equal parts. The horizontal distance from the the vertical side of the triangle to the peak of the triangle is 3/4 units. This is because we travel 3 ticks out of 4 total. So this is the height when we consider the vertical segment of the triangle to be the base.
The base is 1 unit as it spans the original square's side length
base = 1
height = 3/4
area of triangle = (1/2)*(base*height)
area of triangle = (1/2)*(1*3/4)
area of triangle = 3/8
ratio of triangle area to square area = (triangle area)/(square area)
ratio of triangle area to square area = (3/8)/1
ratio of triangle area to square area = 3/8Answer:
3/8
Step-by-step explanation:
let side of square=x
Area of a square =x^2
height of a triangle= 3x/4 ( 4/4=1/4) since height is only 3x/4 from the square)
( base =x same side as a square)
Area of a triangle=1/2 bh=1/2(x*3x/4)= 3x^2/8
the ratio of shaded triangle to the area= (3x^2/8)/x^2=3x^2/8x^2=3/8
Please please help me
Answer:
A = 189 cm²Step-by-step explanation:
The area of a parallelogram is equal to the product of the length of its side and the height of the parallelogram perpendicular to that side.
H = 9 cm
S = 21 cm
A = S•H = 21 cm • 9 cm = 189 cm²
A jar of jam contains 55% fruit.How much fruit would I need for ten 454g jars of jam?
Answer: 10x454x0.55=2,497 grams of fruit
What is the midpoint of the line segment with endpoints (3.5, 2.2) and (1.5, -4.8)
Answer:
2.5, -1.8
Step-by-step explanation:
½(x¹+x²) ,½(y¹+y²)
½(3.5+1.5) ,½(2.2+(-4.8)
½(5.0), ½(2.2-4.8)
2.5 ,½(-3.6)
2.5, -1.8
Answer: It’s 2.5, -1.3, the other person must’ve misclicked lol
Of the 30 people riding the bus to work today, 3 rode a bike to work yesterday, 7 drove a car to work yesterday, and the rest rode the bus to work yesterday. If one of the 30 people riding the bus to work today is selected at random, what is the probability that the person selected will ride the bus to work tomorrow?
Answer:
2/3Step-by-step explanation:
This is a probability question and we have to calculate the sample size.
given the sample size S= 30
3 rode a bike
7 drove a car
20 rode bus
The probability of selecting a person that will take a bus is
[tex]Pr(bus)= 20/30= 2/3[/tex]
Which graph shows the solution to the system of linear inequalities? x + 3y > 6 y ≥ 2x + 4 PLEASE HELP
A system of inequalities can be solved graphically.
See attachment for the required graph
The inequalities are given as:
[tex]\mathbf{x +3y > 6}[/tex]
[tex]\mathbf{y \ge 2x + 4}[/tex]
The options are not given.
So, I have attached the graph that illustrates the solution to the system of inequalities
From the graph, we have the solutions as:
[tex]\mathbf{x >-0.857}[/tex][tex]\mathbf{y \ge 2.286}[/tex]Read more about graphs of inequalities at:
https://brainly.com/question/15748955
A taste test asks people from Texas and California which pasta they preferred brand a or brand b this table shows the results. A person is randomly selected for those tested. What is the probability that the person is from Texas given that the person prefers Brand b? Round your answer to two decimal places.
Answer: I just did it and the answer is 0.43
Step-by-step explanation:
Using it's concept, it is found that the probability that the person is from Texas given that the person prefers Brand b is given by:
A. 0.43.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 105 people prefer brand B, and of those, 45 are from Texas, hence:
p = 45/105 = 0.43.
Which means that option A is correct.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ2
Your math teacher caught you text messaging in class, again, so the teacher is making you give a presentation to your math class next week. Your assignment is to analyze the scatter plot that shows people's ages and the number of text messages sent in a day. In 3-5 sentences, explain what you see in the scatter plot below.
Answer: If a scatterplot is included in the assignment
The dots plotted on the graph might closely follow the graph of exponential decline. There is a large number of texts per day by 19-20-21 year-olds, but the number seems to decline exponentially as age increases. With a little work, it may be possible to plot the curve and write an equation to model the decline.
Step-by-step explanation: Look at some graphs of exponential decay. Also consider harmonic and hyperbolic decay. The trend in the data is evident. The main challenge is to look at the data and create an equation that models it.
Which equation represents the line that passes through (-8,11) and
0 v= - 3 5x + 6
Oy=-x+16
Ov=-X-49
Oy - 11x +71
Answer:
Step-by-step explanation:
Hello,
the line passes through (-8,11) means than y = 11 for x = -8
I believe that you wanted to write the first one as below
[tex]y=-\dfrac{5}{8}x+6[/tex]
in that case for x = -8
y = - 5 * - 1 + 6 = 5 + 6 = 11
hope this helps
The solution is, : y = -5/8x +6, the equation represents the line that passes through (-8,11) and (4,7/2).
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
First we need to find the slope
m = (y2-y1)/ (x2-x1)
= (7/2 -11)/(4--8)
= (7/2 - 22/2)/(4+8)
= (-15/2)/(12)
= -15/24
Divide top and bottom by 3
-5/8
Then we can use point slope form to write the equation
y-y1 = m (x-x1)
y- 11 =-5/8(x--8)
y- 11 =-5/8(x+8)
Distribute
y-11 =-5/8 x -5
Add 11 to each side
y-11 = -5/8x -5+11
y = -5/8x +6
Hence, The solution is, : y = -5/8x +6, the equation represents the line that passes through (-8,11) and (4,7/2).
To learn more on Equation 0f Straight-Line click:
brainly.com/question/11116168
#SPJ7
Help, please!!! What is the mC?
Tom and Harry live 24km from each other, which on the map is 5 cm Given that the distance on the map between Harry and the Sea view is 4cm Find the actual distance between Harry and the Sea view.
Answer:
19.5 km
Step-by-step explanation:
the actual distance between Harry and the Sea view:
if 24 km is 5 cm on map
24*4/5= 19.5 km
Please answer this question now
Step-by-step explanation:
hope it will help you..........
Answer:
14 ftStep-by-step explanation:
A radius to the tangent point always forms a right angle with the tangent.
m∠MNP = 90° so we can use Pythagorean theorem:
[tex]MN^2+NP^2=MP^2\\\\MN^2+48^2=50^2\\\\MN^2+2304=2500\\\\MN^2=196\\\\MN=\sqrt{196}\\\\MN=14\,ft[/tex]
PLEASE HELP I REALLY NEED HELP
Answer:
16
Step-by-step explanation:
perimeter of B = 21
divide by 3 to get each side: 21/3 = 7 = Y
perimeter of hexagon is 50. subtract 2Y: 50 - 14 = 36
divide 36 by 4 to find X = 9
add X + Y
PLEASE HELP I WILL MARK BRAINLIEST RIGHT AWAY!!!
Answer:
C
Step-by-step explanation:
The slope formula is y^2 - y^1 over x^2 - x^1
hope this helps!
also the answer is just the inverse of that answer
first correct answer gets best marks and make it short not super-long please and hurry
Answer:
b > 3 2/15
Step-by-step explanation:
To make it easier to solve convert the mixed fraction to a fraction.
2 3/5 = 13/5
Now, multiply the fraction by 3/3 so that you will have a common denominator.
13/5 × 3/3 = 39/15
Now you solve for b.
39/15 < b - 8/15
39/15 + 8/15 < (b - 8/15) + 8/15
47/15 < b
b > 47/15
Convert the fraction to a mixed fraction to find the answer
47/15 = 3 2/15
b > 3 2/15
Look at photo please don't understand
Does anyone understand this
Please answer quickly!
Answer:
a) 18.6%
b) 598,230
Step-by-step explanation:
a) In the first part of the question, you are given two population values and asked to find the percentage difference between them. A formula you can use for that is ...
percentage difference = (difference)/(original value) × 100%
The difference of interest is the difference between the 2011 population and the 2001 population
difference = 510,000 -430,000 = 80,000
The original value is the 2001 population, so the percentage difference is ...
percentage difference = 80,000/430,000 × 100% = 0.1860 × 100% = 18.6%
This is a positive value, so represents an increase.
The percentage increase in population from 2001 to 2011 was 18.6%.
__
b) In the second part, you are given the percentage difference and asked to find the new value. We can rearrange the above formula to find the difference:
difference = (percentage difference)/100% × original value
Then the difference between the 2021 population and the 2011 population will be ...
difference = (17.3%)/100% × 510,000 = 0.173 × 510,000 = 88,230
So, the population in 2021 is expected to be 88,230 more than in 2011:
2021 population = 520,000 +88,230 = 598,230
The predicted population in 2021 is 592,230.
14) Marty weighs 64
pounds and Nathan weighs
4
76 pounds. How much more does Nathan weigh
2
than Marty?
Answer:
Nathan weighs 12 more pounds than Marty.
Step-by-step explanation:
If Marty weighs 64 pounds and Nathan weighs 76 pounds, we can subtract the weight of Marty from Nathan to get our answer.
[tex]76-64=12[/tex]
In case Nathan was actually 476 pounds, the answer would be 412.
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number. From the set {13, 14, 15, 16, 17}, the values of x for which the inequality holds true are choise 13,14 13,14,15 15,16,17 16,17
Answer:
5
Step-by-step explanation:
juice is $1.79 for 8-4.23 ounce boxes. What is the unit price
Answer:
I believe the unit price would be 2.39 per unit
Step-by-step explanation: