Triangle FGH has vertices F(-3, 4), G(2, 0), and H(-1, -2). Graph AFGH and its image after a rotation of 180° about (-3, -6).
Answers
Answer:
Im gonna assume its counter clockwise (excuse the bad drawing)
Step-by-step explanation:
The vertices of triangle F'G'H' after a rotation of 180° about (-3, -6) are F'(0, 10), G'(5, 6) and H'(2, 4).
What is rotation?Rotations are transformations that turn a shape around a fixed point. To rotate a shape we need: a centre of rotation. an angle of rotation (given in degrees) a direction of rotation – either clockwise or anti-clockwise.
Given that, triangle FGH has vertices F(-3, 4), G(2, 0), and H(-1, -2).
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
So, (x, y) → (x+3, y+6)
F(-3, 4) → (-3+3, 4+6) → F'(0, 10)
G(2, 0) → (2+3, 0+6) → G'(5, 6)
H(-1, -2) → (-1+3, -2+6) → H'(2, 4)
Therefore, the vertices of triangle F'G'H' after a rotation of 180° about (-3, -6) are F'(0, 10), G'(5, 6) and H'(2, 4).
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Related Questions
algebra 2 please help!!
Answers
Answer:
A
Step-by-step explanation:
Translation of 3 units is a plus 3 away from the x
question 6 what if we use a p-value cutoff of 10%? do we reject, fail to reject, or are we unable to tell using our confidence interval? assign cutoff ten percent to the number corresponding to the correct answer. reject the null / data is consistent with the alternative hypothesis fail to reject the null / data is consistent with the null hypothesis unable to tell using our staff confidence interval
Answers
0.10 > 0.05 is value of p - value of the data .
What does P stand for?
The likelihood, for a particular statistical model, that the statistical summary would be equal to or more extreme than the actual observed findings when the null hypothesis is true is known as the P value.The p-value is the likelihood that, assuming the null hypothesis is true, a result will be at least as dramatic as the one that was actually seen in the biological, clinical, or epidemiological investigation.If we use 10% p - value cutoff = 0.10
then as 0.10 > 0.05
reject the null / data is consistent with the alternative hypothesis .
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William leaves work at 16:00. He drives 36 kilometres from work to home at an average speed of 48 km/h. What time does William arrive home?
answer using the 24 hour clock.
Answers
William will arrive home at 16:45, it will take 45 min to reach home.
Given, that William leaves work at 16:00
Distance from work to home is 36 kilometres
Also, he drives at an average speed of 48 km/hr
Now, using distance-speed relation to find the time
So, as we know Distance = Speed × Time
On putting the values of distance and speed, we get
36 km = 48 km/hr × Time
On dividing both the sides by 48, we get
36/48 = (48×Time)/48
36/48 = Time
Time = 0.75
Hence, he will take 0.75 hr to reach home.
0.75 hr ≈ 45 minutes
As, 1 hr = 60 minutes
0.75 hr = 0.75 × 60 = 45 minutes
So, William will arrive home at 16:45
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The number of computer security breaches is expected to increase at a yearly rate of 86%.
Use the exponential growth model to determine the equivalent monthly rate.
Enter the rate, to the nearest tenth of a percent, in the box.
___ %
Answers
The equivalent monthly rate of the number of security breaches is of 5.31%, using an exponential function.
What is an exponential function?An increasing exponential function is modeled according to the rule presented by the equation as follows:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which the parameters of the exponential function are listed as follows:
A(t) is the amount after t years.A(0) is the initial amount of the function, that is, the amount of A(t) at the reference year of 0.r is the growth rate of the function, given as a decimal.In the context of this problem, considering the increase at an yearly rate of 86%, the parameter rate r is given as follows:
r = 0.86.
Hence the function is defined as follows:
[tex]A(t) = A(0)(1.86)^t[/tex]
One year is composed by 12 months, hence the monthly increase is calculated as follows:
[tex]r_m = (1.86)^{\frac{1}{12}} - 1 = 0.0531[/tex]
The monthly increase rate is of 5.31%.
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Answer:
The answer is 5.3
is the drink proportinal?
Answers
The proportional of price of the drink to the number of ounces is 0.2.
In the given question we have to find the proportional of price of the drink to the number of ounces.
As given from the table that;
Drink Size (oz) 12 16 20
Price (dollars) 2.40 3.20 4.00
If we find the proportional of price of the drink to the number of ounces. Then;
Price of the drink/Number of drink = 2.40/12 = 3.20/16 = 4.00/20
Price of the drink/Number of drink = 0.2 = 0.2 = 0.2
So we can see that the proportional of price of the drink to the number of ounces is 0.2.
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Answer:
Yes it is proportional.
a medical device company knows that 11% of patients experience injection-site reactions with the current needle. if 4 people receive injections with this type of needle, what is the probability that none of the 4 people get an injection-site reaction?
Answers
With the help of probability we can conclude our answer.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
Given: The proportion of patients experience injection-site reactions with the current needle : p=0.11Sample size : n= 4Let x be a binomial random variable that represents the people get an injection-site reaction.Binomial probability formula: The required probability : P(x=0)learn more about probability click here:
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In Exercises 1-4, graph the equation. Ider
1. y - 2 = 2(x - 2)
Answers
subtract 5 from 12, then multiply by 4
Answers
Answer:
Step-by-step explanation:
(12-5)x4=28
1. 1/4 of a vegetable garden has broccoli and 2/3 of the garden has peppers. How much of the garden has vegetables growing in it?
2. Jessica and Maria are both making slime with different recipes. Jessica’s recipe calls for 1 1/2 cups of flour and Maria’s recipe calls for 2/3 cups of flour. How many cups of flour will they need in order to make both of their batches of slime?
3. Donnie has a pool and recently discovered a leak. He continues to patch the leak until someone can come out to repair it. After all the water has completely drained out of the pool due to the patch coming off, it takes him two days to fill the pool back up. It takes three days for the pool to drain completely. How long would it take to fill the pool if the patch is off while Donnie is refilling it?
4. I baked a cake for my sibilants. My brother ate 1/8 of the cake and my sister ate 3/4. How much of the cake is left for me?
5. Amanda is making oatmeal cookies with raisins and pecans for her club. The recipe makes seventeen oatmeal cookies. It takes 1/4 of a cup of nuts and 1/2 a cup of radon’s just for seventeen cookies! There are thirty-four members in Amanda’s club. If she makes exactly thirty-four cookies, how many cups of nuts will she need?
6. Felipe has a business where he builds and sells birdhouses. To build 12 birdhouses, he needs 5 1/4 meters of wood. During the holiday season, Felipe was asked to make 4 1/2 times the number of birdhouses he usually makes. How many meters of wood does Felipe need to make that many birdhouses?
7. It is Nadine’s birthday, and she is making walnut brownies for her sleepover. She invited eight of her friends to her party. The recipe that she is using makes twenty-four brownies, but she only wants to make eight. The recipe for twenty-four calls for 4 1/2 cups of walnuts. How many cups of walnuts will she need for eight people?
8. A candy bar is 5 1/3 inches long. If it is divided into pieces that are 1 1/4 inches long, then how many pieces of candy bar will there be?
9. A maple tree can grow in average to be 90 feet tall. Redwood trees can grow to be 2 2/3 times bigger than a maple tree. What is the average height of a Redwood tree?
10. A piece of rope is 24 1/2 feet long. How many 1/4- foot sections can be cut from it?
Answers
Broccoli and peppers occupy 11/12 of the gardenAs a result, 11/12 of the garden is filled with vegetables.
How can I determine how much of a garden's growing veggie there is?1,Let's add up those two fractions to determine how much of the entire garden contains broccoli and peppers since we know that 1/4 of the garden has broccoli and 2/3 of the garden contains peppers.
Consequently, 1/ 4 + 2/3 =?
It is necessary for the denominator to match.
Consequently, 1/4 x 3/ 3 = 3 / 12.
2/3 × 4 /4 = 8 / 12
Hence, 3 / 12 + 8 / 12 = 11 / 12
2 ,Amount of flour needed to complete both recipes =2+1/4+1
3, Baked cake 1 /8 +3/4,
6 , Number of birdhouses to be made / Number of bird houses he usually makes x Meters of wood needed for birdhouses Felipe usually makes
= 54 / 12 x 5¹/₄
= 23 ⁵/₈ meters
7, 24 brownies = 9/2 cups of walnuts
8 brownies =1 1/2 cups of walnuts
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A research association reported that 3,173,000 gas grills were shipped by various manufacturers in the U.S. in 2000.Shipment increased by 7% per year from 2000-2016.Write a function that models the number of gas grills shipped over time.
Answers
If shipments increased by 7% (which is the same as 0.07) per year, then the shipment in a year can be found by multiplying the shipments in the previous year by 1.07.
Therefore, if [tex]x[/tex] represents the number of years since 2000 and [tex]f(x)[/tex] represents the number of shipments, then [tex]f(x)=3173000(1.07)^x[/tex].
What is 1/2sq miles - 1/3 sq miles
Answers
Answer: 431 664.685 m2
Step-by-step explanation:
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Answers
The equation of the parabola is f(x) = 7(x-3)^2+5.
Given:
The equation of the parabola that has the same shape has f(x) = 7x^2 but with vertex(3,5) in the form of f(x) = a(x-h)^2 + k.
If the parabola has same shape then its a values are same.
so f(x) = 7x^2
here a = 7
so the equation with vertex (3,5) also has a value is 7.
(h,k) = (3,5)
f(x) = a(x-h)^2+k
= 7(x-3)^2 + 5.
Therefore the equation of the parabola is f(x) = 7(x-3)^2+5.
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Antonio has read at most 8 more books than Benji. If Benji has read 38 books, at most how many books has
Antonio read?
Answers
Monty spends 2.5 hours playing basketball each
day. What is the total amount of time (in hours)
hat Monty spent playing basketball after 7
days?
Answers
Answer:
Your answer is 17.5 hours
Step-by-step explanation:
Simply multiply 2.5 and 7 to get your answer.
You have to multiply the number of hours by the number of days to get the correct product or answer.
In the diagram, ABGH = CDEF.
Find the value of x.
X = ___
Answers
The value of x is 25
What is congruent polygons ?
A polygon is said to be congruent if it has the same shape as the polygon it is compared to, as well as the identical side lengths and interior angles. In order to meet the condition, congruent shapes must all have the same kind of shape. Because they are different shapes, a rectangle and a pentagon cannot be congruent.
Two squares or two hexagons can be considered congruent polygons since they both have equal-length sides and angles. However, it's crucial to keep in mind that the length of the sides must also be equal. A square is not congruent if it is larger than another square.
1. Pairs of congruent corresponding parts
∠A = ∠C AB = CD
∠B = ∠D AH = CF
∠H = ∠F HG = FE
∠G = ∠E GB = ED
To find the value of x
4x + 5 = 105
4x = 105 - 5
4x = 100
x = [tex]\frac{100}{4}[/tex]
= 25
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Write and equation in slope intercept form for the line that passes through the given point and is parallel to the graph of the equation
(4, -3); x = -5
Answers
The equation in slope intercept form is x =4 .
Given:
x = -5
x + 5 = 0
here slope m = ∞.
line equation passes through (4,-3) with m = ∞
-3 = 1/0(4) + c
4 + c = 0
c = -4.
y = (1/0)x - 4
x - 4 = 0
x = 4.
Therefore the equation in slope intercept form is x =4 .
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Pls answer
Use the complete the method to solve
2y²+2y-5=0
Answers
The required solutions to the given quadratic function are below as:
[tex]y=\dfrac{-1+\sqrt{11}}{2},\:y=-\dfrac{1+\sqrt{11}}{2}\quad[/tex]
What is a quadratic function?The quadratic function is defined as a function containing the highest power of a variable is two.
The quadratic function is given in the question:
2y² + 2y - 5 = 0
Compare the given function to the standard quadratic function f(x) = ax² + b x + c.
We get a = 2, b = 2 and c = -5
Using the quadratic formula to solve the above quadratic function
[tex]y = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Substitute the values of a = 2, b = 2 and c = -5 in the above formula
[tex]y=\dfrac{-2\pm \sqrt{2^2-4\cdot \:2\left(-5\right)}}{2\cdot \:2}[/tex]
[tex]y=\dfrac{-2\pm \:2\sqrt{11}}{2\cdot \:2}[/tex]
Separate the solutions as:
[tex]y=\dfrac{-2+2\sqrt{11}}{2\cdot \:2},\:y=\dfrac{-2-2\sqrt{11}}{2\cdot \:2}[/tex]
[tex]y=\dfrac{-1+\sqrt{11}}{2},\:y=-\dfrac{1+\sqrt{11}}{2}\quad[/tex]
Therefore, the required solutions to the given quadratic function are below as:
[tex]y=\dfrac{-1+\sqrt{11}}{2},\:y=-\dfrac{1+\sqrt{11}}{2}\quad[/tex]
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Factorise completely:
Answers
Answer:
2xy(8x + 5)
Step-by-step explanation:
16x²y + 10xy ← factor out 2xy from each term
= 2xy(8x + 5)
50 POINTS
Your parents have heard about your business and would like to invest in it to help you earn as much money this summer as possible. They decide to give you $100 towards your business. However, there's a catch. They want 10% of the money you make.
1. if you mowed 10 lawns while charging $15 a lawn, how much would you have to pay your parents?
2. if you needed to make $300 to buy a switch, how many lawns would you have to mow?(Hint: don't forget about how much you would have to pay your parents.)
3. With all cost taken into account, your start up money, the money your parents gave you and what you paid your parents, how much profit did you make after 20 lawns?
Answers
The profit made from the business that receives an initial $100 investment are as follows;
1. The amount received from the investment is $15
2. The number of lawns that should be mowed to buy the switch is 23 lawns
3. The profit made from the business considering the cost and the initial investment of the parents is $170
What is an investment?An investment is the money directed towards an asset purchase to increase the valuation of the business and products within a time period.
The amount invested = $100
The amount desired as return = 10% of the amount made from the business
1. The amount charged per lawn = $15
The number of lawn mowed = 10
The revenue of the business = 10 × $15 = $150
The amount paid as return on investment = 10% × $150 = $15
2. The amount required to buy the switch = $300
The number of lawns to be mowed, n, is therefore;
300 = 15 × n - 10% × 15 × n = 15·n - 1.5·n = 13.5·n
300 = 13.5·n
n = 300/13.5 ≈ 23 ( rounding up to the nearest whole number)
The number of lawns to be mowed is 23 lawns
3. The revenue from mowing 20 lawns is 20 × $15 = $300
The amount received by the investing parents = 10% × $300 = $30
The amount received from the parents investment = $100
The profit made after 20 lawns = $300 - $30 - $100 = $170
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Peni needs $1.20 daily for bus
fares, 50 cents daily to spend at the school canteen and $1.00 per day for newspaper.
Answers
Answer:
Peni will need a total of $17.90
Step-by-step explanation:
$1.20 x 7 = $8.40
$0.50 x 5 = $2.50
$1.00 x 7 = $7.00
$8.40 + $2.50 + $7.00 = $17.90
What is the value of blank and 40.01 is close to 1
Answers
The number that is the numerator of a fraction with denominator of 40.01 and is equals to a coefficient of one is:
40.01.
What is a fraction?A fraction is a numerical representation of the division of the two terms x and y that composed the fraction, as follows:
Fraction = x/y.
The terms are named as follows:
The top term x is the numerator of the fraction.The bottom term y is the denominator of the fraction.Hence the quotient of the division is the numerator divided by the denominator.
In this problem, interpreting the blank variable as x, the fraction that represents the situation is:
x/40.01 = 1.
Applying cross multiplication, the numeric value of the variable x is obtained as follows:
x = 40.01 x 1
x = 40.01.
Missing InformationThe complete problem asks for which number divided by 40.01 is close to 1.
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4. A park charges $8 for adults and $4 for kids. How many of each type of ticket was sold if a total of 325 tickets were sold for a total of $1812?
Answers
Answer:
1300 and 750
Step-by-step explanation:
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when the 171st even positive integer is subtracted from the 219th odd positive integer, the result is z. Find z.
Answers
Odd number =2m+1
171st even = 2(171)
219th odd = 2(219)+1
2(171)-(2(219)+1)=-97
z=-97
What is the quotient (x2 − 9x + 20) ÷ (x − 4)? (1 point) x − 5 x − 4 x + 4 x + 5
Answers
Answer:
The guy under me is correct
Step-by-step explanation:
Answer:
x - 5
Step-by-step explanation:
Factor the expressions that are not already factored
(x^2 - 9x + 20) / (x - 4)
Cancel out x - 4 in both numerator and denominator
[tex]\frac{(x-5)(x-4)}{x-4}[/tex]
x - 5
Which of the following describes the transionnation of g(x)=3(2) ^-x+2 from the parent iuciction f(x) =2^x?
O reflect across the x-axis, stretch the graph vertically by & factor of 3,shift 2 units up. O reflect across the y-axis, stretch the graph vertically by & factor of 2,shift 3 units up. O reflect across the x-axis, stretch the graph vertically by & factor of 2, shift 3 units up. O reflect across the y-axis, stretch the graph vertically by & factor of 3,shift 2 units up
Answers
The transformation of g(x) = 3(2)⁻ˣ+2 from the parent function f(x) = 2ˣ will be carried out by reflecting f(x) across the y-axis, then stretching the graph of f(x) vertically by a factor of 3 and then shifting 2 units up,
What is a transformation function?
A function that transforms one function or graph into another, typically a related function or graph, is called a transformation function.
How to convert the parent function into the transformation function?
The transformation of the parent function is shown in blue. It is a shift down (or vertical translation down) of 1 unit. A reflection on the x-axis is made on a function by multiplying the parent function by a negative. Multiplying by a negative “flips” the graph of the function over the x-axis.
Here, we have
Transformation Function - g(x) = 3(2)⁻ˣ+2
Parent Function - f(x) = 2ˣ
To convert the parent function into the transformation function, we will follow some steps:
Multiply 3 by the function f(x). Due to this the graph of f(x) shift vertically by 3 units. f(x) = 3(2ˣ )Now, replace x with -x. Due to this the graph of f(x) reflects the y-axis. f(x) = 3(2)⁻ˣAdd 2 to the function f(x). Due to this the graph of f(x) shift by two units. f(x) = 3(2)⁻ˣ+2 = g(x)Hence, the transformation of g(x) = 3(2)⁻ˣ+2 from the parent function f(x) = 2ˣ will be carried out by reflecting f(x) across the y-axis, then stretching the graph of f(x) vertically by a factor of 3 and then shifting 2 units up.
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change 4-1/2 to a improper fraction
Answers
Answer: 9/2
Step-by-step explanation: Hope this helps.
the owner of a new pizzeria in town wants to study the relationship between weekly revenue and advertising expenditures. all measures are recorded in thousands of dollars. the summary output for the regression model is given below. anova df ss ms f significance f regression 6 19.4512364 3.24187273 18.10468324 1.2794e-05 residual 13 2.327814576 0.17906266 total 19 21.77905098 step 1 of 3 : what is the coefficient of determination for this model, r2? round your answer to four decimal places.
Answers
R square is the most appropriate compared to the adjusted r square value.
What is coefficient ?In mathematics, a coefficient is a multiplicative coefficient of some term in a polynomial, series, or expression. Usually numeric, but can be any expression. If the coefficients themselves are variables, they can also be called parameters.
CalculationIn this question, it is given that some of coils due to regression equal 16.75147827, likewise the samosta- is due to residual equals 5.751489304. So the total sum of squares. When we add this, both we will get 22.50296757. Likewise, it is given that the degrees of freedom for regression equals 110 degrees of freedom for residual equal 6, so the total degree of freedom is 7. So the first question is that we have to find the coefficient of determination for this data.We know that coefficient of determination, which is denoted by r square, equal s, s regression divided by the summa square for total, so this is equals 16.751 47827 divided by 22.50296757. So this is equals 0.744. 412 point. So we got the coefficient of determination that is r square. Next, we have to find the jester square. We know that jested r square equals 1 minus s s residual, divided by degrees of freedom, for residual, divided by s; s total divided by the degrees of freedom. For total, so this is equals 1 minus 5.751489304 divided by 6, divided by 22.50296757, divided by 7 point. So this is equals. 0.70. 1. 81. 4 point, so we got the adjusted r square value for this data. Also. The third question is that from these 2, which statistics is most appropriate for the pisareane order to determine the usefulness of the regression model and y, so we can say that r square is most appropriate, since the model has only 1 independent variable. So among the adjusted r square and r square, we can say that r square is the most appropriate compared to the adjusted r square valuelearn more about coefficient here :
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Find the measurement of V.
Answers
Answer:
60°
Step-by-step explanation:
As we can conclude from the equal measured side lengths, this is an equilateral triangle so all angles have equal measurement.
Since the sum of interior angles in a triangle is equal to 180 to find the measure of angle V we need to divide 180 by 3:
180 ÷ 3 = 60
Find x 96+2x+(x+12).
Answers
Answer:
bro u find it
Step-by-step explanation:
1/2 years = how many months??
Answers
Answer:
6 months.
Step-by-step explanation:
Step by step
We know 1 year = 12 months
So 1/2 year can be found by multiplying
1/2 x 12 = 6
