▲DEF has vertices D (-2 ,1 ), E (2,4), and F (3,1) and is dilated by a factor of 3 using the point (1,1) as the point of dilation. The dilated triangle is names ▲D'E'F'.
If your answer is useless then don't answer because last time someone typed random stuff and I was left answerless.
Answers
The dilated triangle is names ▲D'E'F' ,
Vertex D' → ( -8, 1)
Vertex E' → (4, 10)
Vertex F' → (7, 1)
What is dilation ?
Reducing the object's size by dilation is a change. The items are enlarged or shrunk through dilation. An image that retains the original shape is created by this alteration. The size of the form does differ, though. A dilatation should either enlarge or decrease the initial form. By using the phrase "scaling factor," this transition is described.
Enlargement is the name given to a dilatation that results in a larger image.
Reduction is what happens when a dilatation results in a smaller picture.
According to question
Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':
[tex]D_{(O,k)}(x,y) = (k(x-a) +a, k(y-b) +b)[/tex]
Where "O" is the center of dilation at (a,b) and "k" is the scale factor.
In this case you can identify that:
(a,b) = (1,1)
k = 3
Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:
Vertex D' → [tex](3(-2-1) +1, 3(1-1) +1) = (-8, 1)[/tex]
Vertex E' → [tex](3(2-1) +1, 3(4-1) +1) =(4,10)[/tex]
Vertex F' →[tex](3(3-1) +1, 3(1-1) +1) =(7,1)[/tex]
hence the vertex of ▲D'E'F' are (D' → ( -8, 1), E' → (4, 10), F' → (7, 1).)
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Related Questions
at a certain gas station, 35% of the customers use regular unleaded gas, 35% use extra unleaded gas, and the remainder use premium unleaded gas. of those using regular gas, only 50% fill their tanks. of those customers using extra unleaded, 30% fill their tanks, whereas of those using premium unleaded, 30% fill their tanks. if the next customer fills the tank, what is the probability that extra unleaded gas was requested? (give your answer in percentage terms with one decimal point of precision.)
Answers
The probability that extra unleaded gas was requested is 35%.
To find the probability that the next customer requested extra unleaded gas, we need to first find the total probability that any customer requests extra unleaded gas.
Since 35% of customers request extra unleaded gas, the probability that a customer requests it is 35%. Of those customers, 30% fill their tanks, so the probability that a customer requesting extra unleaded gas fills their tank is 30%.
Therefore, the probability that a customer requesting extra unleaded gas fills their tank is (35%) * (30%) = 0.105, or about 10.5%.
This is the probability that the next customer requested extra unleaded gas and fills their tank. To find the probability that the next customer simply requested extra unleaded gas, regardless of whether they fill their tank or not, we need to add the probabilities of them requesting extra unleaded gas and either filling or not filling their tank.
The probability that the next customer requested extra unleaded gas and filled their tank is 0.105, as we calculated above. The probability that the next customer requested extra unleaded gas and did not fill their tank is (35%) * (70%) = 0.245, or about 24.5%.
To find the total probability that the next customer requested extra unleaded gas, we need to add these two probabilities: 0.105 + 0.245 = 0.35, or 35%. This is the probability that the next customer requested extra unleaded gas.
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in 12 years a man will be twice as old as he was 12 years ago . find his present age
Answers
His present age is 36 years.
Let his present age = x
Given,
2(x − 12) = x +12
2x - 24 = x + 12
2x - x = 12 + 24
x = 36
Therefore, his present age is 36 years.
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Chang and Carlotta solve this problem in two different ways.
You have $50 in your bank account.
You make $8 per hour mowing lawns.
How many hours must you mow lawns to have a total of $130 in your account?
Use the drop-down menus to complete the sentences below.
Answers
What are variables ?
There are certain things in real life that never change, like your birthday. However, other factors, such as temperature, age, height, etc., change with place and time. These amounts might be referred to as variables because they are changeable.
A symbol (often a letter) used in mathematics to represent an unknowable numerical value in an equation or algebraic statement. A variable can be defined as a quantity that is changeable and not fixed. Variables are crucial since they make up a significant portion of algebra.
Typically, "x" and "y" are used to denote unknowable integers. However, it is not required; any letter will do.
If I have $50 in my bank account and i have to make it $130 by mowing a lawn that means i need to earn on $80 by mowing the lawn
($130 - $50 =$80)
I can earn $8 per hour by mowing the lawn which means in only need to work for 10 hours to earn $80 ($8 per hour x 10 hours= $80 )
Chang and Carlotta method use different operations to simplify the expression in same order
Chang's method uses variable but Carlotta doesn't
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Consider the function
What is
f(x) = -2/3x + 5.
ƒ ( − 1/2 )
?
Answers
Answer:
Step-by-step explanation:
0
Answer:
f(1/2) = 5 1/3
Step-by-step explanation
All you need to do is replace each x in the function with -1/2, and you have your answer!
Hope this helps :)
the bakery department at ralphs wants to make 3 loaves of banana bread but the recipe only makes 1 loaf
Banana bread recipe -
1 loaf
1/2 cup butter
3/4 cup brown sugar
2 eggs
2 1/4 cups flour
1 teaspoon baking soda
1/4 teaspoon salt
3 ripe bananas
How much of each ingredient will the bakery department need in order to make 3 banana bread Loaves?
Answers
The ingredient will the bakery department need in order to make 3 banana bread Loaves is 3/2 cup butter, 9/4 cup brown sugar, 6 eggs, 27/4 cups flour, 3 teaspoon baking soda, 3/4 teaspoon salt, and 9 ripe bananas.
What is multiplication?The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.
Given:
The ingredient for the 1 loaf of bread,
Butter = 1/2 cups,
Brown sugar = 3/4 cups,
Eggs = 2,
Flour = 2 1/4 cups,
Baking soda = 1 teaspoon,
Salt = 1 / 4 teaspoon,
Ripe bananas = 3
To make 3 banana bread loaves, we have to multiply the ingredient by 3,
Thus, the ingredients for 3 3 banana bread loaves will be,
Butter = 1/2 × 3 = 3/2 cups
Brown sugar = 3/4 × 3 = 9/4 cups,
Eggs = 2 × 3 = 6,
Flour = 2 1/4 = 9 / 4 × 3 = 27 / 4 cups,
Baking soda = 1 × 3 = 3 teaspoons,
Salt = 1 / 4 × 3 = 3 / 4 teaspoons,
Ripe bananas = 3 × 3 = 9
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james is painting an L- shaped piece of wood that is made up of two rectangular prisms
6 in
5 in
1 in
7 in
11 in
How many square inches does he need to paint?
Answers
Applying the surface area of a rectangular prism, the number of square inches hat will be painted is, 346 in.².
How to Find the Surface Area of a Rectangular Prism?The surface area of a rectangular prism = 2(wl + hl + hw), where:
length - lwidth = wheight = hThe L-shaped piece of wood is composed of two rectangular prisms, therefore:
The square inches of paint needed = surface area of prism 1 + surface are of prism 2 - 2(area where both prism meet).
Prism 1 surface area:
l = 7 in.
w = 6 in.
h = 5 + 1 = 6 in.
Surface area = 2·(6·7+7·7+7·6) = 266 in.²
Prism 2 surface area:
l = 7 in.
w = 11 - 6 = 5 in.
h = 1 in.
Surface area = 2·(5·7+1·7+1·5) = 94 in.²
Area where both prism meet = (l)(w) = (7)(1) = 7 in.²
Number of square inches that needs to be painted = 266 + 94 - 2(7)
= 346 in.²
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what is the probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5
Answers
The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.
What is probability?Probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Calculation:Mean = 10.5 and Total no. of females = 5 = random variable
Now, the Probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5:
P(x > 10.5)
Z = ( x- μ )
= (σ / [tex]\sqrt{n}[/tex])
= 10.5 / 5
= 2.1
The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.
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Jeremy spent a total of $79.16 on a shirt and one pair of jeans. He knows the jeans cost $49.95 but he does not know the cost of the shirt, s. He created the model shown to find the cost of the shirt.
Answers
The model to show the cost of the shirt is x+49.95=79.16. Therefore, the cost of shirt is $29.21.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Jeremy spent a total of $79.16 on a shirt and one pair of jeans.
Let the cost of shirt be x.
The jeans cost is $49.95
Now, the cost of shirt + the cost of jeans = Total cost
⇒ x+49.95=79.16
⇒ x=79.16-49.95
⇒ x=$29.21
Therefore, the cost of shirt is $29.21.
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Please help brainliest
Answers
The missing side of the right triangle is b = 35.7
How to find the missing measure?
Remember that we know that for a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse.
Here we know that c is the hypotenuse, so we can write:
a^2 + b^2 = c^2
We also know that:
a = 13
c = 38
And we want to find the value of b, so we can write:
b^2 = c^2 - a^2
b = √(c^2 - a^2)
b = √(38^2 - 13^2)
b = 35.7
That is the value of the missing side.
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A map of an amusement park is shown on the coordinate plane with the approximate location of several rides.
Determine the distance between the Trolley Train and the Silly Slide.
25 units
7 units
5 units
3 units
Answers
The distance between the Trolley Train and the Silly Slide is 5 units. The 3rd option is the answer
How to determine the distance between the Trolley Train and the Silly Slide?From the map, the coordinate of the Trolley Train is (-2, -6) and the coordinate of the Silly Slide is (2, -3)
The formula for finding the distance between the two points is given as:
d=√(x₂ – x₁)² + (y₂ – y₁))²).
where
x₁ = -2,
y₁ = -6 (Trolley Train)
x₂ = 2
y₂ = -3 (Silly Slide)
d = √((2 – (-2))² + (-3 – (-6))²)
d = √((4)² + (3)²)
d = √25
d = 5 units
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In a school Auditorium, there are three types of rows arrangement
possible for watching programs: rows of 20 students per row, or rows
of 25 students ver row, or rows of 40 students per row. Find the least
number of students required for any one of these arrangements so
that all the students can be accommodated in each of these
arrangements.
Answers
I think
it should be 200 as it's the first common multiple of 20 40 and 25
Can you please give me the answer you don’t have to solve all but please!!!!!!
Answers
Answer: Reduction: 1/3
Step-by-step explanation:
Remember that if you are dilating it to be larger, it will be a whole number. If it is less than one, then it is dilating to be smaller.
Answer: Reduction 1/3.
Step-by-step explanation: When a shape is transformed into a smaller version of the original, it's a reduction. Reductions are less than 1 so the answer I provided above is what you're looking for.
Have a great day! :)
Help me aspp please before 11:59 pm
Answers
(0,10) is the y intercept
What is the volume of the following rectangular prism?
Answers
Answer:
Below
Step-by-step explanation:
The volume will be the end AREA X Length
7 1/3 units^2 X 2 units = 14 2/3 units^3
Solve the inequality.
$-12
Answers
The factors of the function are (x + 1), (x - 1) and (x-4). Which equation could describe the function?
Answers
The function having the factors (x+1), (x-1) and (x-4) is x³-4x²-x+4 = 0
What are factors?
A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
Factors can be found using either division or multiplication. Rules of divisibility can also be applied.
Given, the factors of a function are (x+1), (x-1) and (x-4)
We know that if the factors of a function are (x-a) and (y-b), it would mean that the function is (x-a)(y-b) = 0
Similarly, taking the above factors given in a function, the function would be:
(x+1)(x-1)(x-4)=0
⇒ (x²-1)(x-4)=0
⇒ x³-4x²-x+4 = 0
Hence, the function having the factors (x+1), (x-1) and (x-4) is x³-4x²-x+4 = 0
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What is the process of the federal congress to making a law
Answers
Answer:
The Bill Begins. Laws begin as ideas.
The Bill Is Proposed. When a Representative has written a bill, the bill needs a sponsor.
The Bill Is Introduced.
The Bill Goes to Committee.
The Bill Is Reported.
The Bill Is Debated.
The Bill Is Voted On.
The Bill Is Referred to the Senate
Step-by-step explanation:
ACSA Governmental Relations staff tracks hundreds of education related bills through the legislative process from introduction through to the Governor’s signature or veto of the bill. We bring most of these bills to ACSA’s Legislative Policy Committee to take positions on behalf of ACSA. Once these positions are set by the Committee, ACSA Governmental Relations staff begins advocating for or against the bill in accordance with the position taken.
When necessary and at key points in the legislative process, we will take our advocacy efforts back to you and ACSA’s membership by sending “Action Alerts” asking you to either send a letter or make a phone call to your legislative representatives and/or policy or fiscal committee members advocating ACSA’s position on the legislation in question. It is important that you respond to “Action Alerts” as quickly as possible as legislation is quickly moving through the process, making most of these alerts time sensitive.
There are 30 students in Mrs. Woodward's class and 1/5 of the class has their own cell phone. Of the students that have cell phones, 1/2 of them are allowed to use social media. How many of the students have a cell phone and can use social media?
Answers
Answer: 3 people
Step-by-step explanation:
1/5 of 30 will give us the number of students.
6
1/2 of 6, will give us the number of people who can use social media.
3 people.
Kaylee conducted a scientific experiment. For a certain time, the temperature of a
compound rose 1 degrees every of an hour. What was the rate, in degrees per
hour, that the temperature of the compound rose? Enter your answer as a whole
number, proper fraction, or mixed number in simplest form.
Answers
The rate was the temperature increased by 1 degree for every 1 hour that passed.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
Kaylee carried out a scientific experiment. For a period of time, the temperature of a compound grew by one degree per hour.
The rate at which the temperature of the compound rose is 1 degree per hour. This means that for every hour that passed, the temperature of the compound increased by 1 degree.
The units for the rate are degrees per hour, which means that the temperature increased by 1 degree for every 1 hour that passed.
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Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins. How many pounds of chocolate chips were left?
A three-twelfths pounds
B eleven-twelfths pounds
C one and two-twelfths pounds
D one and seven-twelfths pounds
Answers
Answer:
B
Step-by-step explanation:
[tex]7\frac{1}{2} - 3\frac{3}{4} - 2\frac{5}{6} \\= \frac{15}{2} - \frac{15}{4} - \frac{17}{6} \\(common denominate is 12)\\=\frac{90}{12} -\frac{45}{12} -\frac{34}{12} \\\\=\frac{11}{12}[/tex]
make g the subject of 3e+4g=7+9eg
Answers
Answer:
the answer is g = (7 - 3e) / (4 - 9e)
Step-by-step explanation:
The subject of an equation is the value or values being solved for. An equation typically consists of two parts: an expression on the left side of an equal sign and an expression on the right side of the equal sign.
The given equation subject of equation is 3e + 4g = 7 + 9eg
Subtraction of 9eg from both sides of the equation
3e + 4g - 9eg = 7 + 9eg - 9eg
3e + 4g - 9eg = 7
Subtract 3e on both sides of the equation
3e + 4g - 9eg - 3e = 7 - 3e
4g - 9eg = 7 - 3e
Factorize g on left side of the equation,
g (4 - 9e) = 7 - 3e
Then divide (4 - 9e) on both sides of the equation,
g = (7 - 3e) / (4 - 9e)
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If you vertically compress the absolute value parent function, F(x) = |x|, by multiplying by 3/4, what is the equation of the new function?
A. G(x) = | 3/4 x |
B. G(x) = |x| - 3/4
C. G(x) = 3/4 |x|
D. G(x) = | x + 3/4 |
Answers
Answer:G(x) = 3/4 |x|, nevertheless that is the same that G(x) = |3/4x|.
Step-by-step explanation:
Note that given that 3/4 is less than 1 the original function is compressed.
- Take care <3
find f(20) if f(x)=[tex]\frac{1}{4}x+5[/tex]
Answers
Answer:
f(20) = 10
Step-by-step explanation:
the correlation between cost and distance is 0.791. describe the relationship between cost of damage and distance from the nearest fire station.
Answers
According to the question,
Given data,
The correlation between cost and distance is 0.791.
The farther the house is from a first station, the higher cost of damage tends to be.
the correlation between cost and distance
The largest single cost of liver transplantation is the cost of organ acquisition, with the variable portion of that amount being associated travel costs. We assessed the proportion of donors using ground, air, and jet transport and compared the transport costs of these three types of transport and their impact on organ procurement costs for transplant centers.
How is correlation measured?
The sample correlation coefficient r quantifies the strength of the relationship. Correlations are also tested for statistical significance.
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Solve
e + 0.05 = 9.21
Answers
Answer: e = 9.16
Step-by-step explanation: Although it's not necessary, I would first get rid of the decimals by multiplying both sides of the equation by 100.
That gives is 100e + 5 = 921 which has no decimals.
Now just subtract 5 from each side to get 100e = 916 and
dividing both sides by 100 from here, e = 9.16.
Which expressions are equivalent to
[tex] {5}^{18} [/tex]
select all that apply
Answers
Answer:
B and C
Step-by-step explanation:
(5⁷)¹¹ = 5⁷⁷
5⁹ × 5² = 5¹¹
Answer:
[tex] {5}^{12} \times {5}^{6} and \: \frac{ {5}^{24} }{ {5}^{6} } \\ option \: b \: and \: c[/tex]
Step-by-step explanation:
[tex] {a}^{b} \times {a}^{c} = {a}^{(b + c)} \\ \frac{ {a}^{b} }{ {a}^{c} } = {a}^{(b - c)} [/tex]
[tex] {5}^{12} \times {5}^{6} = {5}^{(12 + 6} = {5}^{18} \\ \frac{ {5}^{24} }{ {5}^{6} } = {5}^{(24 - 6)} = {5}^{18} [/tex]
in a poll, respondents were asked whether they were planning to vote in the local election. 315 respondents indicated that they were planning to vote and 217 said that they were not. what is the probability that the next respondent questioned will indicate that they are planning to vote?
Answers
The probability that the next respondent questioned would say they plan to vote is 0.59.
What is probability?
The ratio of the number of favorable outcomes to the total number of outcomes of an event is defined as probability.
We know that the probability of an occurrence =the number of favorable outcomes divided by the total number of events.
Given that, 315 respondents stated they planned to vote, while 217 said they did not.
Now, the probability of voting is:
P(voting)=315(315+217)
= 315/532
= 0.59
As a result, the likelihood that the next respondent questioned would say they plan to vote is 0.59.
The probability that the next respondent questioned would say they plan to vote is 0.59.
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Match each theorem with its description.
Answers
(3) Isosceles triangle Theorem
(8) Same side Interior angle Theorem
(2) Triangle sum Theorem
(1) Vertical angle Theorem
(7) Alternate exterior angle Theorem
(5)Corresponding angle Postulate
(6)Alternate exterior angle Theorem
(4) Triangle midsegment Theorem
What is isosceles triangle?
An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.
Isosceles triangle Theorem: A triangle's opposite angles are also congruent if its two sides are.
Same side Interior angle Theorem:
The same side interior angles are additional when two parallel lines are cut by a transversal.
Triangle sum Theorem:
According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.
Vertical angle Theorem:
When two straight lines collide, two sets of linear pairs with identical angles are created.
Alternate exterior angle Theorem:
The alternate interior angles or alternate exterior angles that emerge from cutting two parallel lines by a transversal are congruent.
Corresponding angle Postulate:
The related angles are equivalent if a transversal cuts two parallel lines.
Alternate exterior angle Theorem:
The alternate interior angles or alternate exterior angles that emerge from cutting two parallel lines by a transversal are congruent.
Triangle midsegment Theorem:
The section connecting a triangle's two sides at their midpoints is parallel to and only half as long as the third side.
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12.10p +5.25
11.75p+7.50
Is this no solution
Answers
Answer:
I can't see a solution from what you have given us
Sometimes business partners do not share the ownership of a
business equally. Instead, they own a percentage of the
business, and each receives that percent of the profits.
Alvarez, Brown, and Chow are partners in a business that
earned $500,000. Alvarez owns 40% of the business. Chow
received $175,000. How much money did Alvarez make?
Answers
Alvarez received $200,000 which is 40% of the profit.
Define percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it. Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.
Given
Profit $500000
Alvarez owns 40% of the business.
Percentage
500000 × 40%
200000
Alvarez received $200,000 which is 40% of the profit.
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