Translate the image by (3x - 1, y + 5) D(1,2)→ D'_ E(-3,-5)→E'. F(4,-1)→→ F
Answers
The image of D (1, 2) is D' ( 2, 7).
The image of E (-3 -5) is E' ( -10, 0).
The image of F (4, -1) is F' ( 11, 4).
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given points are;
D (1, 2), E(-3, -5) and F(4, -1)
Now, The rule is to find the image of points is;
(x, y) → (3x - 1, y + 5)
Hence,
The image of D (1, 2) = (3 * 1 - 1, 2 + 5)
= (3-1, 7)
= (2, 7)
The image of E (-3 -5) = (3*-3 - 1, -5 + 5)
= (-9-1, 0)
= (-10, 0)
The image of F (4, -1) = (3*4 - 1, -1 + 5)
= (12-1, 4)
= ( 11, 4 )
Therefore, The image of D (1, 2) is D' ( 2, 7).
The image of E (-3 -5) is E' ( -10, 0).
The image of F (4, -1) is F' ( 11, 4).
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Related Questions
Solve the triangle MNO (find m<O and the lengths of sides m and n).
Answers
The measure of angle O is 56 and the value of m and n are 8.1 in and 14.5 in respectively.
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The longest side is hypotenuse and it is the side facing the right angle. The other two sides are opposite and adjascent.
sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan,(tetha) = opp/adj
angle O = 180-(90+34)
= 180- 124
= 56°
To find m,
Tan 34 = m/12
m = Tan34 × 12
m = 8.1 in
using Pythagoras theorem to find n,
n= √8.1²+12²
n = √65.61+144
n = √209.61
= 14.5 in
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Mr. Bauer Placed the letters in the word basketball into a bag what is the probability of choosing a B not replacing it and then choosing a vowel
Answers
Using it's concept, it is found that there is a 0.0333 = 3.33% probability of choosing a B not replacing it and then choosing a vowel.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The word basketball has 10 letters.
b is one of them, hence P(A) = 1/10 = 0.1.Then, of the 9 letters, 3 will be vowels, hence P(B|A) = 3/9 = 1/3 = 0.3333.Thus, the probability of choosing a B not replacing it and then choosing a vowel is given by:
\(P(A \cap B) = P(A)P(B|A) = 0.1 \times 0.3333 = 0.0333\)
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Answer: 2/45
The question asks for choosing the letter B, which we know that there is two of in basketball, so 2/10, and then we multiply it by the amount of vowels, which is 2/9, and when we multiply we get 4/90 which can be simplified to 2/45.
At the start of a race, a runner’s velocity changes from 0 to 4,0 m/s. It takes him 2 seconds to speed up. His
acceleration is ___ m/s2.
Please answer with a explanation if you can.
Answers
Answer:
2 m/s²
Step-by-step explanation:
Given:
v₀ = 0 m/s
v = 4.0 m/s
t = 2 s
Find: a
a = (v − v₀) / t
a = (4.0 m/s − 0 m/s) / 2 s
a = 2 m/s²
Answer:
At the start of a race, a runner’s velocity changes from 0 to 4.0 m/s. It takes him 2 seconds to speed up. His acceleration is 2 m/s2.
Explanation:
Acceleration is the rate at which velocity changes. To find the acceleration, divide the change in velocity (final velocity − initial velocity) by the time interval. In this example, the change in velocity is 4.0 m/s in 2 seconds. So, divide 4.0 by 2.
I hope this explanation helps you understand accelerations!
Pls look at the image and help me
Answers
54 because e-54 equals 54
help me solve this queston
Answers
TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
To represent the given problem as a system of equations, we can use the following information:
John is 70 years younger than Sharon: j = s - 70
Sharon is 4 times as old as John: s = 4j
Let's plot the graph for this system of equations:
First, let's solve equation (2) for s:
s = 4j
Now substitute this value of s in equation (1):
j = s - 70
j = 4j - 70
3j = 70
j = 70/3
Substitute the value of j back into equation (2) to find s:
s = 4j
s = 4(70/3)
s = 280/3
The solution to the system of equations is j = 70/3 and s = 280/3
In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.
Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
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(11 - 8)3 – 2 x 6
What is the answer
Answers
Answer:
15
Step-by-step explanation:
The function f(1) = 60,000(2)
00(2) 410 gives the number
of bacteria in a population & minutes after an initial
observation. How much time, in minutes, does it
take for the number of bacteria in the population to
double?
Answers
It takes 10 minutes for the number of bacteria in the population to double.
To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.
The given function is f(t) = 60,000 * 2^(t/10).
To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:
120,000 = 60,000 * 2^(t/10).
Next, we can simplify the equation by dividing both sides by 60,000:
2 = 2^(t/10).
Since both sides of the equation have the same base (2), we can equate the exponents:
t/10 = 1.
To solve for t, we multiply both sides by 10:
t = 10.
Therefore, it takes 10 minutes for the number of bacteria in the population to double.
This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.
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IS THIS IMAGE BELOW AND MY ANSWER CORRECT PLEASE HELP DUE IN 3 MIN
Answers
Answer:
yeah it's right
Step-by-step explanation:
If f(x) = 3x + 2 and g(x) = 2x - 1, find gof(x).
Answers
Answer:
6x + 3 depending if i read it right
Step-by-step explanation:
if you mean
g(f(x)) then:
2(3x + 2) - 1
6x + 4 - 1
6x + 3
What is the coefficient in the expression 10x? -7 ?
A 7
B. X
O c. 10
O D. 2
Answers
Answer:
C.) 10
Step-by-step explanation:
The town’s annual budget totals $30 million. If ⅖ of the budget goes toward education, how many dollars go to education?
Answers
transformation of the graph of f(x)=x^3 for the graph of g(x)=-x^3
Answers
The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).
She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $
.
Answers
she still owes 9.3$
answer : 9.30$
Step-by-Step-
25.63-16.33=9.30
Jenny still owns $9.30 dollars to her sister.
Hope this helps :)
Select all of the fractions that are equivalent to -2/3 –3/-2 -3/2 2/-2 2/-3 2/3 -2/-3 Please hurry and help I really need it
Answers
Answer:
2/-3
Step-by-step explanation:
Hope this helped. And I know that you can choose more than one, but I'm pretty sure this is the only one that's equivalent to -2/3
What is the probability of picking a prime number and then picking a divisor of 32 Write your answer as a percentage .
Answers
The total number = 4 (1,2,3,4)
number of prime numbers= 2 (2,3)
number divisible by 32 = 3, (1,2,4)
\(\text{Prb(prime numbes)}=\frac{2}{4}=\frac{1}{2}\)\(\text{prb(number divisible by 32)=}\frac{3}{4}\)Hence the probability of picking a prime number and then a number divisible by 32 is
\(\frac{1}{2}\times\frac{3}{4}=\frac{3}{8}\)In percentage we have,
\(\frac{3}{8}\times100=\frac{75}{2}\)37.5%
Hence the probability in percentage is 37.5
Infinitely many solutions
-3x + y = 7
2x
-
Y
Y =
=
6x
3x
-
One solution
-
4y = -8
-4x
5
-4x + 1
-
y
= 4
2y = 8
0
No solution
Answers
Answer:
x=0
Step-by-step explanation:
A housepainter buys 40 gallon-size cans of paint for $920. Some of these are blue paint that cost $30 per gallon and the rest are white paint that cost $20 per gallon. How many gallons of white paint does the painter buy?
Answers
Answer:
28
Step-by-step explanation:
x=blue
y=white
x+y=40
30x+20y=920
30(x+y=40) ; 30x+30y=1200___[1]
30x+20y=920 ; 30x+20y=920___[2]
[1]-[2] : 30x+30y-30x-20y=1200-920
10y=280
y=28
painter buys 28 white gallons
The woods behind Wendy’s house were 8 miles wide and have an area of 24 mi.² what is the length of the woods 
Answers
Answer:
48 miles
Step-by-step explanation:
i think thats it.
Answer: 4.
Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.
Hope this helps!
If 6(2x+1) is equal to -36-2x, what is the value of 3x
Answers
12x + 6 = -36 - 2x
12x + 2x = -36-6
14x = -42
X = -3
Answer:
The value of 3x is -9
Step-by-step explanation:
Given Equation
\(6(2x + 1) = - 36 - 2x\)
Step 1
Distribute 6 in the expression.\(12x + 6 = - 36 - 2x\)
Step 2
Combine like terms and solve the equation for x-term\(12x + 2x = - 36 - 6 \\ 14x= - 42 \\ x = \frac{ - 42}{14} \longrightarrow \frac{ - 3}{1} \\ x = - 3\)
But we want to know what is the value of 3x.
Step 3
Substitute the value of -3 in 3x.\(3x = 3( - 3) \\ 3x = - 9\)
Hence, the value of 3x is -9
Hope this helps! If you have any questions that are related to the answer, feel free to use "Comment" feature!
An urn contains nine blue balls and seven yellow balls. If three balls are selected randomly without being replaced, what is the probability that of the balls selected, one of them will be blue and two of them will be yellow?
Answers
Answer:
\(Probability = \frac{27}{80}\)
Step-by-step explanation:
Given
\(Blue =9\)
\(Yellow = 7\)
Required
Determine the probability that one of the balls is blue while others is yellow
The order of selection may be any of these three:
Yellow, Yellow, Blue or Yellow, Blue, Yellow or Blue, Yellow, Yellow
Solving Yellow, Yellow, Blue
\(Probability = P(Y_1) * P(Y_2) * P(B)\)
\(Probability = \frac{7}{16} * \frac{6}{15} * \frac{9}{14}\)
\(Probability = \frac{1}{8} * \frac{1}{5} * \frac{9}{2}\)
\(Probability = \frac{9}{80}\)
Solving Yellow, Blue, Yellow
\(Probability = P(Y_1) * P(B) * P(Y_2)\)
\(Probability = \frac{7}{16} * \frac{9}{15} * \frac{6}{14}\)
\(Probability = \frac{9}{80}\)
Solving Blue, Yellow, Yellow
\(Probability = P(B) *P(Y_1) * P(Y_2)\)
\(Probability = \frac{9}{16} * \frac{7}{15} * \frac{6}{14}\)
\(Probability = \frac{9}{80}\)
Hence:
The required probability is:
\(Probability = \frac{9}{80} + \frac{9}{80} + \frac{9}{80}\)
\(Probability = \frac{27}{80}\)
As a Boulder rolls from the tip of hill to the bottom how does its potential and kinetic energy change
A. potential and kinetic energy both increase
B. Potential increases and kinetic decreases
C. potential decreases and kinetic increases
D. potential and kinetic energy both decrease
Answers
Answer:
C
Step-by-step explanation:
The potential energy is how much it could move while kenetic is how much it is moving.
A figure is reflected across the x-axis, then reflected across the y-axis.
Which of the transformations will not always produce the same result?
A. Reflection of each point on the figure across the origin
B. Rotation of 180°
C. Reflection across the y-axis, then across the x-axis
D. Reflection across the line y=x
Answers
Which option is equivalent to the expression above
Answers
The storage capability of computers has been doubling every 5 years since the first computers were invented in the 1960s. If the first computer could store .5 megabytes, about how many megabytes can today's computers store? How long did it take for computers to store 100 megabytes?
Answers
It takes time of near about 35 year.
Given that,
Storage capability of computers has been doubling every 5 years
The date of 1st computer made = 1980
computer could store 5 megabytes,
Now,
We can use the following calculation to determine how long it took computers to store 100 megabytes:
Therefore,
Log₂ (final amount / beginning amount)
= Log₂ (100 / 0.5)
= log₂ (200)
= 7.64 is the number of doublings.
If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.
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Chidi puts 2 kg of bird seed in his large feeder. This is 1 times as much seed as he puts in 5 10 his smaller feeder. How much bird seed does Chidi put in his smaller feeder?
Answers
The amount of bird seed that Chidi put in his smaller feeder, given the amount put in the large feeder, is 2 kg of bird seed
How to find the amount of feed ?The amount of bird seed that was put into the large feed, was more than the amount put in the small feed by 1 ³ / ₁₀ times.
To find the amount of seed that Chidi put in the small feeder can be done by the formula:
= Amount of bird seed in large feed / Proportion more than small feed
= 2 ³ / ₅ ÷ 1 ³ / ₁₀
= 2. 60 / 1. 30
= 2 kg of bird seed
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The full question is:
Chindi puts 2 3/5 kg of bird seed in his large feede. This is 1 3/10 times as much bird seed as he puts in his smaller feeder. How much bird seed does Chidi put in his smaller feeder?
Which ordered pair is a solution of the equation shown? A.-3/4,- 1/2 B. 0,3/4 C.4/3, 1/2 D. 4, 3/2
pls hurry = 50 point
Answers
Answer:
the answer is b, c, d, a, respectively
2.1. Provide a general rule to describe the relationship between the dates of spread and number of people infected infected.
Answers
The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.
However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.
This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.
As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.
It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.
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convert the equation x^2+y^2-4x=0 to polar form. Then solve the resulting equation for r
Answers
Answer:
Step-by-step explanation:
Me toooo i need it really
City planners are planning to build a new community pool. They agree that the pool will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the width would remain at 11.6 meters but that the length would increase by 3.7 meters. So, the pool would now cover an area of 205.85 square meters.
Which equation can be used to determine the original length of the pool, l?
205.85=2(l+15.3)
205.85=11.6(l+3.7)
205.85=3.7(l+11.6)
Answers
The equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)
Let l be the original length of the pool.
Since the length of the pool is increased by 3.7 m, the new length L = l + 3.7.
Also, the area of the pool A = 205.85 square meter and it is a rectangle with width, W = 11.6 meters,
So, A = LW
Substituting the values of the variables into the equation, we have
A = LW
205.85 = (l + 3.7)11.6
So, the equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)
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Answer:
Step-by-step explanation
205.85=11.6(l+3.7)
If this circle has a radius of 7.4 and m
intercepted sector (shaded blue). Round answers to two decimal places.
Use the r button on your calculator.
Answers
Answer:
Gddghdhdhdhy heifer here early enough h her y