The image of point B is B'(1.5,6).and this can be determined by finding the dilation factor and then multiplying point B by the dilation factor.
Given :
Segment AB has endpoints A(–4, 6) and B(1, 4).After a dilation, centered at the origin, the image of A is (–6, 9).In order to determine the image of point B, first, determine the dilation factor. let 'x' be the dilation factor, then:
[tex]-4\times x = -6[/tex]
[tex]x = \dfrac{3}{2}[/tex]
Now, after dilation the point B becomes:
[tex]\rm B(1,4)\to B'(1\times \dfrac{3}{2},4\times \dfrac{3}{2})[/tex]
Simplify the above expression.
[tex]\rm B'\left(\dfrac{3}{2},6\right) = B'(1.5,6)[/tex]
The image of point B is B'(1.5,6).
For more information, refer to the link given below:
https://brainly.com/question/19347268
The angles of triangle abc are in the ratio of 8:3:4. what is the maesure of the smallest angle
The lower base of the frustum shown in the figure is a square 8 ft on each side. The upper base is a square 4 ft on each side. If the altitude is 6 ft, find the slant height. A. 6 ft B. 5.66 ft C. 6.32 ft D. 4 ft
a) Using theorems pertaining to transverals and parallel lines, prove that m∠1 + m∠2 = 180o
b) Find the value of x.
For the given set of parallel lines l and m, the value of x is equal to 4.
Explanation:According to the question,
l ║ m
As per the theorem pertaining to transversal and parallel lines,
∠1 and ∠2 are supplementary if and only if they are interior angles.
m∠1 + m∠2 = 180° _____(1)
Here, ∠1 = 20x + 5
∠2 = 24x - 1
Substitute the value ∠1 and ∠2 in (1), we get
20x + 5 +24x - 1 = 180°
44x + 4 = 180°
44x = 176
x = 4
Hence, for the given set of parallel lines l and m, the value of x = 4.
Learn more about parallel lines here:brainly.com/question/3346167
#SPJ3
Which statement about the figure below is true?
Select one:
a. Points A, B, and E are not collinear.
b. Points C, F, B, and E are coplanar.
c. Points F, B, and C are collinear.
d. Points C, D, B, and F are coplanar.
Which statement decribes the behavior of the function mc010-1.jpg? If you cannot see the Image the function is f(x)= 3x/4-x.
The graph approaches –3 as x approaches infinity.
The graph approaches 0 as x approaches infinity.
The graph approaches 3 as x approaches infinity.
The graph approaches 4 as x approaches infinity.
Answer: The graph approaches -3 as x approaches infinity will be the correct option which describes the behavior of the function.
Explanation:
Given Function: f(x)= [tex]\frac{3x}{4-x}[/tex]
Now, we divide numerator and denominator by x and we get,
⇒ [tex]f(x)= \frac{3}{4/x-1}[/tex]
If x approaches to infinity.
Therefore, [tex]\lim_{x\rightarrow \infty}f(x)[/tex]
then [tex] f(x)\rightarrow -3[/tex]
Thus, we can say f(x) approaches -3 as x approaches infinity
Answer:
-3
Step-by-step explanation:
The width of a rectangular prism is w centimeters. the height is 2 centimeters less than the width. the length is 4 centimeters more than the width. of the volume of the prism is 8 times the measure of the length, find the dimensions of the prism
The condition of the car and its mileage are important variables to consider when making a decision to buy a used car.
true or false?
Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%. Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%. If no other transactions are made, who will have more money in their account after 10 years? How much more?
Answer:
Lori will make $27.00 more.
Step-by-step explanation:
The formula to calculate simple interest is
A = P(1+rt)
P = Principal amount
r = rate of interest ( in decimal )
t = time
First we calculate Darryl's deposit, so put the values in the formula
A = 1,500(1 + 0.027×10)
A = 1,500 ( 1+0.27 )
A = 1,500 × 1.27
A = $1905
Now we will calculate Lori's deposit
A = 1,400 ( 1 + 0.038 × 10 )
A = 1,400 ( 1 + 0.38 )
A = 1,400 × 1.38
A = $1,932
Lori will make money after 10 years = $1,932
Darryl will make money after 10 years = $1905
so Lori will make more than Darryl, the difference will be = 1,932 - 1,905 = $27
After 10 years Lori will have make $27.00 more in their account.
Answer:
$27
Step-by-step explanation:
plez give brainliest
There are 190 students taking band, chorus, or both. If there are 180 students taking band and 60 students in both band and chorus, how many students are only in chorus?
70
60
10
120
The answer would be 10. I know this because I got it right on my assignment. Have a great day!
If there are 180 students taking band and 60 students in both band and chorus, then 180-60=120 students are taking only band.
Now:
120 students are taking band;60 students are taking both band and chorus;190 students in total.Then 190-(120+60)=190-180=10 students are taking only chorus.
Answer: correct choice is C.
can someone explain how to do this question and how to solve problems like this?
A vaccine has 90% probability of being effective in preventing a certain disease. the probability of getting the disease if the person is not vaccinated is 50%. in certain geographic region, 25% of the people get vaccinated. if a person is selected at random , find the probability that he or she will contract the disease
Answer:
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease. Add these together for the total: 0.375+0.025=0.4
There is a 40% chance that someone chosen at random will contract the disease.
Which solid figure has a base that is a polygon and a triangular faves that meet at a vertex
A pair of shoes costs three times as much as a scarf. The total cost of 1 pair of shoes and 1 scarf is $32. If s represents the cost of 1 scarf, which equation could you use to find the cost of 1 scarf?
Answer:
3s+s=32
Step-by-step explanation:
How much interest would an account earn if 3,000 is invested at an interest rate of 4.8% compounded semiannually for 2 years
How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor? 2 × (7.5 + 15) 3 × (5 + 10) 5 × (3 + 6) 15 × (1 + 2)
The sum of 15+30 = 45 and can be expressed as a multiple of prime factors:
(3^2)5
So (15+30) could be expressed as 9*5, but it can not be expressed as a non-repeating multiple of prime factors.
Melanie bought 3 adult tickets and 1 children ticket for $38. John bought 3 adult tickets and 2 children tickets for $52. What is the cost of each type of ticket
David is filling five 3/4 quart bottles with a sports drink.His measuring cup only holds 1/4 quart.How many times will David need to fill tje measuring cup in order to fill the 5 bottels
Which of the following is equal to sqrt 50a^6b^7
Which equation can be rewritten as x + 4 = x2? Assume mc006-1.jpg
Answer:
The answer is C
Step-by-step explanation:
Got it right on edge 2020
If bill rides his bike 3 miles to Fred's house and then walks with Fred the remaining 1 mile to school, it will take him 30 minutes. But if he rides the entire distance, it will take him only 20 minutes. what is his walking and biking speed?
Final answer:
Bill's biking speed is 12 mph and his walking speed is 4 mph. We find the biking speed from the 20-minute ride distance and solve for the walking speed using the time difference in the 30-minute trip.
Explanation:
The student is asking about calculating walking and biking speeds based on different times to cover distances. To solve this, we'll use the information that Bill takes 30 minutes to ride 3 miles and then walk 1 mile, but only 20 minutes to ride the entire 4 miles to school.
First, we want to find the speed for each part of the trip when Bill takes 30 minutes. Since we know the total time and distances, we can set up two equations using the relationship speed = distance / time. Let's define biking speed as 'b' and walking speed as 'w'.
For the 30-minute trip:
3 miles / b + 1 mile / w = 0.5 hours
For the 20-minute, all biking trip:
4 miles / b = (1/3) hours
From the second equation, we find that b = 4 miles / (1/3 hour) = 12 mph. Substitute 'b' in the first equation:
3 miles / 12 mph + 1 mile / w = 0.5 hours
1/4 hour + 1 mile / w = 0.5 hours
To solve for 'w', we'll subtract the bike time from the total time:
1 mile / w = 0.5 hours - 1/4 hour
1 mile / w = 1/4 hour
So, the walking speed 'w' is 1 mile / (1/4 hour) = 4 mph.
Therefore, Bill's biking speed is 12 mph, and his walking speed is 4 mph.
Which description compares the vertical asymptote(s) of Function A and Function B correctly?
Function A: f(x)= 1/ x+4
Function B
Both functions have a vertical asymptote at x=−4 .
Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at x = 3.
Function A has a vertical asymptote at x = 4.
Function B has a vertical asymptote at x = 2.
Function A has a vertical asymptote at x=−4x=−4 .
Function B has a vertical asymptote at x = 2.
Function A has a vertical asymptote at x = -4.
The graph B has vertical asymptote is 2.
We have given function
A : f(x)=1/(x+4)
Since the rational function has the vertical asymptote at x=-4 then the denominator of function f(x) contains the term (x+4)
Function B :
What is the vertical asymptote?
A vertical asymptote is is a vertical line that guides the graph of function but is not part of it.
So from the graph we can see that the graph does not pass from the point at x=2
Therefore, the vertical asymptote is 2.
To learn more about the asymptote visit:
https://brainly.com/question/21678319
Which of the following best describes set of numbers? 6, 9, 12, 15, ... infinite alternating sequence finite geometric sequence infinite arithmetic series infinite arithmetic sequence?
Answer:
It is an infinite arithmetic sequence
Step-by-step explanation:
we are given a set of numbers:
6,9,12,15,...
As we can see that
9-6=3
12-9=3
15-12=3
So, given set of numbers are a sequence of arithmetic progression with common difference 3 and terms in the sequence are infinite.
Hence, it is an infinite arithmetic sequence
Solve the system of equations using the substitution method.
{4x+5y=7
{y=3x+9
Enter your answers in the boxes.
x=
y=
The value of x is 2 and value of y is 3 in the system of equation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The system of equations are 4x+5y=7
y=3x+9
We have to find the value of x and y by substitution method in system of equation
Substitute the value of y in first equation
4x+5(3x+9)=7
4x+15x+45=7
Add the like terms
19x+45=7
Subtract 45 on both sides
19x=7-45
19x=-38
Divide both sides by 19
x=-2
Now plug in x value
y=3(-2)+9
y=3
Hence, the value of x is 2 and value of y is 3 in the system of equation.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -0.75m-0.5=2+0.25m
-2
-3
-4
-5
Kendra has $ 7.75 $7.75 in nickels and quarters. if she has 13 13 more quarters than nickels, how many of each coin does she have?
Setting up a system of equations, we find that there is an error in the problem or the information provided.
Explanation:Let's set up a system of equations to solve this problem.
Let's say the number of nickels is x and the number of quarters is y. From the information given in the problem, we can set up two equations:
x + y = 7.75 (since the total value of the coins is $7.75)y = x + 13 (since there are 13 more quarters than nickels)Now we can solve this system of equations. Substituting the second equation into the first equation, we get:
x + (x + 13) = 7.75
Simplifying the equation, we get:
2x + 13 = 7.75
Subtracting 13 from both sides, we have:
2x = -5.25
Dividing both sides by 2, we find:
x = -2.625
Since we can't have a negative number of coins, there must be an error in the problem or the information provided.
Learn more about Solving a system of equations here:https://brainly.com/question/29050831
#SPJ2
(05.02 MC)Henry wants to laminate the tabletop in his study room. The tabletop is the shape of an isosceles trapezoid shown here. If laminating costs $4 per square foot, what is the total cost to laminate the tabletop?
Can someone please explain step by step.
Offering all of my points and brainliest answer!!!!!
Please, Please, Please help me out
Answer:
96
Step-by-step explanation:
The explicit rule for a sequence is given.
an=−2n+7
What is the recursive rule for the sequence?
a1=7; an=an−1+2
a1=5; an=an−1−2
a1=−2; an=an−1+7
a1=7; an=an−1−2
The recursive rule is: [tex]\(a_1 = 7\); \(a_n = a_{n-1} - 2\)[/tex]. The correct option is D.
Sure, here's the step-by-step solution:
1. Start with the explicit rule for the sequence: [tex]\(a_n = -2n + 7\)[/tex].
2. To find the recursive rule, we need to express [tex]\(a_n\)[/tex] in terms of [tex]\(a_{n-1}\)[/tex], the previous term in the sequence.
3. Replace [tex]\(n\)[/tex] in the explicit rule with [tex]\(n-1\)[/tex] to represent the previous term:
[tex]\[a_{n-1} = -2(n-1) + 7\][/tex]
[tex]\[a_{n-1} = -2n + 2 + 7\][/tex]
[tex]\[a_{n-1} = -2n + 9\][/tex]
4. Since [tex]\(a_n = a_{n-1} - 2\)[/tex], substitute the expression for [tex]\(a_{n-1}\)[/tex] from step 3 into the recursive rule:
[tex]\[a_n = (-2n + 9) - 2\][/tex]
[tex]\[a_n = -2n + 9 - 2\][/tex]
[tex]\[a_n = -2n + 7\][/tex]
So, the recursive rule is [tex]\(a_1 = 7\); \(a_n = a_{n-1} - 2\)[/tex]. Therefore, the correct answer is D.
The correct question is:
The explicit rule for a sequence is given.
an=−2n+7
What is the recursive rule for the sequence?
A. a1=7; an=an−1+2
B. a1=5; an=an−1−2
C. a1=−2; an=an−1+7
D. a1=7; an=an−1−2
An amusement park charges an admission fee of 50 dollars for each person. let c be the cost (in dollars) of admission for p people. write an equation relating c to p . then use this equation to find the cost of admission for 17 people.
The equation relating the cost of admission (c) to the number of people (p) is c = 50 * p. For 17 people, the total cost is c = 50 * 17, which equals $850.
To write an equation relating c to p, we set c, the cost of admission for p people, equal to the admission fee per person multiplied by the number of people. Given that the admission fee per person is $50, the equation is:
c = 50 * p
Using this equation to find the cost of admission for 17 people:
c = 50 * 17
c = $850
Therefore, the cost of admission for 17 people is $850.
Question 5 (3 points) The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different companies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars. Company A: y = 0.75x Company B: y = 10 + 0.50x How many bars would the team need to purchase from each company in order for the total cost to be equal?
the answer is 40 bars hope it helps
Jane earns $7.50 an hour and time-and-a-half for overtime. How
much does she earn for a 43.5-hour week?
a. $300
b. $363.50
c. $333.75
d. $339.38
ANSWER ASAP AND GET BRAINEST
(answer not c)
Answer:
339.375 choose d
Step-by-step explanation:
Regular work 40 hours and 3.5 overtime hours
Overtime wage is 1.5 times the regular one
40×7.5+3.5×7.5×1.5=339.375