Find a translation that has the same effect as the composition of translations below. T(3,1) (x,y) followed by T-4,5) (x,y) Choose the correct answer below. O A. (x,y)=(x - 1.y - 4) O B. (x,y)-(x + 7.y + 6) O C. (x,y)-(x + 7.y-4) OD. (x,y)—(X- 1.y + 6)
Answers
The composition of the given translations are:
T(3,1) followed by (-4,5)
The general rule of the composition translations will be
(x,y) to ( x + 3 - 4 , y + 1 + 5)
So,
(x,y) to ( x - 1 , y + 6)
The answer is option D
Related Questions
What are the factors of the polynomial P x x3 5x2 2x 8?
Answers
The polynomial x³+5x²+2x-8 has the factors (C) (x + 4), (F) (x + 2), and (D) (x - 1) as its factors.
What are the factors?A number that entirely divides another number is known as a factor.
In other words, if multiplying two whole numbers results in a result, the two whole numbers we are multiplying are factors of the result since the result may be divided by them.
Factors are the numbers that can divide a number exactly.
Therefore, after division, there is none left over.
So, let's see if the polynomial has (x - 1) as a factor:
⇒ p(1) = (1)³ + 5(1)² + 2(1) - 8
⇒ p(1) = 1+ 5 + 2 - 8
⇒ p(1) = 0
Multiply the component g(x) = by the polynomial p(x) = x3 + 5x2 + 2x - 8. (x - 1).
⇒ (x³ + 5x² + 2x - 8) ÷ (x - 1)
⇒ x² + 6x + 8
By dividing the middle term, let's factorize the aforementioned polynomial to determine the value of x.
Determine what a, b, and c are worth.
A is the coefficient of x2 = 1, B is the coefficient of x = 6, and C is the constant term = –8 in the equation above.
Determine the factors that add up to b by multiplying a and c.
1 × (8) = 8
The two factors that add up to b are 4 and 2.
Make two terms out of bx.
x² + 4x + 2x + 8
Eliminate the common elements by grouping.
x + 4x + 2x + 8 = x(x + 4) + 2 (x + 4)
= (x + 2) (x + 4)
Therefore, the polynomial x³+5x²+2x-8 has the factors (C) (x+4), (F) (x+2), and (D) (x-1) as its factors.
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Complete question:
Select all of the factors of x3 + 5x2 + 2x - 8;
a. x + 5, b. x - 3, c. x + 4, d. x - 1, e. x + 3, f. x + 2
Find the slope and y intercept of the line 5x-9y=45
Answers
Answer:
slope = \(\frac{5}{9}\) , y- intercept = - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
5x - 9y = 45 ( subtract 5x from both sides )
- 9y = - 5x + 45 ( divide through by - 9 )
y = \(\frac{-5}{-9}\) x + \(\frac{45}{-9}\) , that is
y = \(\frac{5}{9}\) x - 5 ← in slope- intercept form
with slope m = \(\frac{5}{9}\) and y- intercept c = - 5
Solve the equation.
- 3(2x - 3) = -6x + 9
Solution:
Answers
1. The brochure for the coaster says that, for the first 10 seconds of the ride, the height of the coaster can be
determined by h(t) = 0.3t³ - 5t2 + 21t + 10, where t is the time in seconds and h is the height in feet.
Classify this polynomial by degree and by number of terms.
Answers
The greatest power of the variable in an expression is the polynomial's degree. classify this polynomial as a cubic polynomial, since it is a polynomial of degree \(3\) .
What is the polynomial by degree?Because the variable x is elevated to the power of 2, the polynomial \(3x^2 + 5x + 2\) has a degree of 2. The leading coefficient is the coefficient that comes before the highest power term, which in this instance is 3.
The polynomial h(t) can be written as:
\(h(t) = 0.3t^3 - 5t^2 + 21t + 10\)
To classify this polynomial by degree, we need to determine the highest power of the variable t that appears in the polynomial. In this case, the highest power of t is 3, so the degree of the polynomial is \(3\) .
To classify this polynomial by the number of terms, we need to count the number of distinct monomials, or terms, in the polynomial.
A monomial is a term consisting of a constant coefficient multiplied by a power of the variable. In this case, we have four monomials: \(0.3t^3, -5t^2, 21t\) , and \(10\). Therefore, the polynomial has \(4\) terms.
So, to summarize:
Degree: 3
Number of terms: 4
Therefore, classify this polynomial as a cubic polynomial, since it is a polynomial of degree 3.
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Will name Brainiest
How is locating - 1.5 on a number line the same as locating 1.5 on a number line? How is it different?
Answers
This one is pretty simple actually,
Starting from zero to get to 1.5 you add 1.5.
Same with -1.5 you just start from zero and go in reverse rather than going forward.
Hope this is helpful in some way.
Factor by grouping
2xy + 4x + 3y + 6
Answers
Answer:
15xy
Step-by-step explanation:
The volume of smaller rectangular prism V = 512 cm3,
the volume of larger rectangular prism V= 4,096 cm3.
What is the ratio of the height of the smaller rectangular prism to the height of the larger rectangular prism?
Write an answer as the ratio of two whole numbers separated by colon. (example: 2:3)
Answers
1:8
What are the values of the trigonometric ratios for this triangle? Drag the answer into the box to match each ratio.Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.sinθcosθtanθA right triangle. The hypotenuse is labeled as 17. The base is labeled as 15. The perpendicular is labeled as 8. The alternate base angles are labeled as right angle and theta degrees, respectively.
Answers
Given a right triangle, we can find the trigonometric values using trigonometric functions.
First, label the sides:
- The largest side is always the hypotenuse
- The side between the right angle and the given angle is called the adjacent side.
- The angle opposite to the given angle, is the opposite angle.
Then,
Hypotenuse = 17
Adjacent side = 15
Opposite side = 8
Where:
Sinθ= opposite side / hypotenuse
Sinθ = 8/17
Cosθ = Adjacent side/ hypotenuse
Cosθ = 15/17
Tanθ = Opposite side / Adjacent side
Tanθ= 8/15
After finishing a weeks visit to China, Caitlin was packing to travel to india. She has 400 chinese Yuan left over and wanted to exchange the money into indian rupees. She knew that for $1 she could get either 8.08 Yuan or 46.04 Rupees. How many Rupees will she get for 400 Yuan.
Answers
Amount in her possession = 400 Yuan
She wants to exchange the money into Indian rupees.
8.08 Yuan or 46.04 Rupees = $1
400 Yuan = ?
This means
8.08 Yuan = 46.04 Rupees
400 Yuan = ?
cross multiply
\(\begin{gathered} \text{amount in Rupe}es\text{=}\frac{400\times46.04}{8.08} \\ \\ \text{amount in Rupe}es=\frac{18416}{8.08} \\ \text{amount in Rupe}es=2279.20792079 \\ \text{amount in Rupe}es=2279.21\text{ Rupe}es \end{gathered}\)A right rectangular box has a volume of 1144 ft.³. The box is 8 feet long and 13 feet high. How wide is the box?
Answers
To solve for the volume of a rectangular prism, we could use the following formula:
\(V=l*w*h\)
V = volumel = lengthw = widthh = heightAlthough we typically use this formula to solve for the volume, we could also use it to determine any of the variables above. All we have to do is rearrange the equation to isolate what we need to find.
Solving the QuestionWe're given:
V = 1144 ft³l = 8 fth = 13We must solve for the width of the boxFirst, rearrange the volume formula to isolate width (w):
\(V=l*w*h\)
⇒ Divide both sides by \(l*h\):
\(\dfrac{V}{l*h}=\dfrac{l*w*h}{l*h}\\\\\dfrac{V}{l*h}=w\\\\w=\dfrac{V}{l*h}\)
⇒ Plug in the given values for V, l and h:
\(w=\dfrac{1144}{8*13}\\\\w=11\)
Therefore, the box is 11 ft wide.
AnswerThe box is 11 ft wide.
Answer:
(A) 11 ft.
Step-by-step explanation:
got it right
When h=4 , j=5 , and k=−1 , the expression jkh+hj−jk equals?
Answers
When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.
To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.
An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.
The given expression is:
jkh + hj - jk
Substituting the given values of h, j, and k, we get:
jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))
Now simplify the expression
jkh + hj - jk = (-20) + 20 + 5
jkh + hj - jk = 5
Therefore, the value of jkh + hj - jk equals 5.
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Suppose the given confidence level is 85%, what is the corresponding z critical value?
Answers
what is -3 divided by one sixth
Answers
Answer:
-18
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
- divided by one sixth
29) Which is a counterexample that shows the following conjecture is false: "If 21 and 22 are complementary, then one of the angles is obtuse" ? A. m/1 = 90° and m42 = 90° B. m/1 = 53° and m42 = 127° C. mz1 = 100° and m42 = 80° D. mz1 = 45° and mz2 = 45
Answers
D. mz1 = 45° and mz2 = 45 are complementary angles (mz1 + mz2 = 90°), but neither angle is obtuse (greater than 90°), so the guess is wrong. This is a counter-example to show.
What are supplementary angles?A supplementary angle is an angle where the sum of two angles is 90 degrees. That is, if angle A and angle B are complementary, angle A measurement + angle B measurement = 90 degrees. Supplementary angles may be adjacent (having a common vertex and edge) or non-adjacent (having no common vertex or edge), but they always complement each other.
There are various kinds of angles to study.
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The function yp=3x2+4x is a particular solution to the nonhomogeneous equation y′′−6y′+9y=27x2−18 Find the general solution of the nonhomogeneous equation y′′−6y′+9y=27x2−18. (Hint: you need yc.)
Answers
Answer:
\(y(x)==(c_1+c_2x)e^{3x}+3x^2+4x\)
Step-by-step explanation:
We are given that non-homogeneous equation
\(y''-6y'+9y=27x^2-18\)
Particular solution of given equation is given by
\(y_p=3x^2+4x\)
We have to find the general solution of the non-homogeneous equation.
Auxillary equation
\(m^2-6m+9=0\)
\(m^2-3m-3m+9=0\)
\(m(m-3)-3(m-3)=0\)
\((m-3)(m-3)=0\)
\(m=3,3\)
\(y_c=(c_1+c_2x)e^{3x}\)
General solution is given by
\(y(x)=y_c+y_p\)
\(y(x)==(c_1+c_2x)e^{3x}+3x^2+4x\)
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
Answers
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
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to amend the US Constitution 3/4 of the 50 states must approve the amendment if 35 States approve an amendment will the Constitution be amended. ( it has to all be fractions)
Answers
Answer: the constitution will not be amended
Explanation:
It is needed that 3/4 of the 50 states approve the amendment. So we need to calculate how many states are 3/4, for this we multiply 3/4 by 50:
\(\frac{3}{4}(50)\)To make this multiplication, we multiply 3 by 50 and then divide by 4:
\(\begin{gathered} \frac{3\times50}{4} \\ \end{gathered}\)which is equal to:
\(\frac{150}{4}\)Making the division we get:
\(\frac{150}{4}=37.5\)Since only 35 states approved the amendment, and 35 is smaller than 37.5. the constitution will not be amended
f(x) = x² - 4 and g(x)= x^2 + 1 are sketched 10.1.2 Determine the length of DB .
Answers
x⁴ - 8x² + 17 is the function that represents the fog(x).
To find fog(x), we first need to find g(f(x)), which means we need to substitute the expression for f(x) into the expression for g(x):
g(f(x)) = g(x² - 4)
Now, we can substitute the expression for g(x) into the above expression:
g(f(x)) = (x² - 4)² + 1
Expanding the squared term, we get:
g(f(x)) = x⁴ - 8x² + 17
Therefore, fog(x) = g(f(x)) = x⁴ - 8x² + 17.
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Complete question:
f(x) = x² - 4 and g(x)= x^2 + 1 find fog(x).
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Answers
The practical domain of the situation is all real numbers, since there is no restriction on the number of hours the child can spend at the arcade.
The practical range of the situation is [1,140], since the minimum value of the function is 1 and the maximum value is 140.
The perimeter of the triangle shown is 225 feet, find the length of each side
X feet = How many Feet?
5x feet = how many feet?
(6x - 3) feet = for many feet?
Answers
Answer:
I have solved it and attached in the explanation.
Step-by-step explanation:
If the spin rate of the CD is 580 rpm what distance is traveled by the piece of dust (in radians) in 2.9 mins
Answers
Answer:
\(d=10568.76rads\)
Step-by-step explanation:
From the question we are told that:
Angular Velocity \(\omega=580rpm=>60.74rads/sec\)
Time \(t=2.9mins=>174sec\)
Generally the equation for distance d is mathematically given by
\(d=\omega*t\)
\(d=60.74*174\)
\(d=10568.76rads\)
1/2%8=p pound of fish is shared equally among aquarium each gets pound of fish food
Answers
1. In the calculation, only one pound of fish food is shared equally among one aquarium.
2. Each of the aquarium gets one pound of fish food
How do we solve both problems on the aquarium?To solve the first part of the problem, we need to find the value of P when 1/2 ÷ 8 = P. By doing the calculation by hand, we get:
1/2 ÷ 8 = 0.0625. So, the P = 0.0625.
In the second part of the problem, we know that 1 pound of fish is shared equally among a certain number of aquariums, and we need to find that number.
Since each aquarium gets 1 pound of fish food, and the total amount of fish food is 1 pound, we can set up an equation to solve for the number of aquariums:
1 pound of fish food / X number of aquariums = 1 pound of fish food per aquarium
Simplifying the equation, we get:
X = 1 pound of fish food / 1 pound of fish food per aquarium
X = 1 aquarium
Therefore, the pound of fish food is shared equally among 1 aquarium, and each aquarium gets 1 pound of fish food.
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Which type of question is most useful in a group discussion?
A. Closed questions
B. Open questions
C. Multiple choice questions
D. Written responses
Answers
Answer:
B
Step-by-step explanation:
it is B I am so sorry if it is wrong
A koala weighs 20 pounds. In her pouch, she carries her joey that weighs 20 ounces. What is the combined weight of the adult koala and her joey in ounces? (HELP FAST)
Answers
Answer:
kjgfdhsxfcgmnhmj,kouiyf
Step-by-step explanation:ugytfguilhyuyrtdyrjcgvh
Answer:
340 oz
Step-by-step explanation:
20 lb = 320 ounces
320 oz + 20 oz = 340 oz
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find the distance between the following pairs of points (-1,5)and(-7,-3)
Answers
The distance between the points (-1, 5) and (-7, -3) is 10 units.
What is the distance between the given points?The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Point 1 (-1,5)
x₁ = -1y₁ = 5Point 2 (-7,-3)
x₂ = -7y₂ = -3Plug the given values into the distance formula and simplify.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
D = √[(-7 - (-1))² + (-3 - 5)²]
D = √[(-7 + 1)² + (-3 - 5)²]
D = √[-6² + (-8)²]
D = √[36 + 64]
D = √100
D = 10
Therefore, the distance is 10 units.
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Consider the following system of two linear equations:
4y + 3x = 0
4y - x = 16
What is the point of intersection?
Answers
Answer: The two lines intersect at (-4,3)
Step-by-step explanation:
So our first step would be to turn both of these into standard slope-intercept form.
1.)
4y + 3x = 0
4y = -3x
y = -3/4x
2.)
4y - x = 16
4y = x + 16
y = 1/4x + 4
Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)
Write an equation in general form (Ax+By+C =0) for the line that passes through A(2, 4) and B(11, 8).
Answers
Answer:
4x - 9y + 28 = 0------------------------
Find the slope of AB:
m(AB) = (8 - 4)/(11 - 2) = 4/9Use point-slope form and point A(2, 4) to determine the line:
y - 4 = (4/9)(x - 2)Multiply both sides by 9 to clear fraction:
9(y - 4) = 4(x - 2)Open parenthesis and convert the equation into ax + by + c = 0:
9y - 36 = 4x - 8 ⇒4x - 9y - 8 + 36 = 0 ⇒4x - 9y + 28 = 0Find the area of the figure shown below. Use 3.14 for π and round your answer to the nearest hundredth.
Answers
Answer:
ans: 111.54
Step-by-step explanation:
u can simple do by multiple
Answer:
38.24
Step-by-step explanation:
Two friends are renting a property with a monthly rent of $975.00. The total square footage is 1,225 square feet, the first bedroom is 150 square feet, and the second bedroom is 130 square feet. Determine how much the friend with the smaller bedroom will pay for rent if they split the cost based on the square footage of each bedroom. (2 points)
$479.50
$481.35
$495.50
$501.35
Answers
Answer:
(a) $479.50
Step-by-step explanation:
You want to know how much the friend with the smaller bedroom will pay for rent if they split the $975 cost based on the square footage of each bedroom. The two bedrooms in the 1225 square foot property are 130 and 150 square feet.
SplitApparently, the cost of the non-bedroom area is to be split evenly. That common area is ...
1225 ft² -(150 +130) ft² = 945 ft²
Then the proportion due from the occupant of the smaller bedroom is ...
(945/2 +130)/1225 = 241/490 ≈ 0.49184
RentThat fraction of the rent is ...
0.49184 · $975 = $479.54
The nearest answer choice is $479.50.
__
Additional comment
If we were to assume the split is based only on bedroom size, then the rent paid for the 130 ft² space would be (13/28)($975) ≈ $452.68. This would be equivalent to splitting the rent for the common area in the same proportion as for the bedrooms.
We note that half the rent is $487.50, a number less than either of the last two answer choices. Those can be rejected for that reason. (The smaller bedroom is expected to pay less than half of the rent.)
What is the approximate value of X?! Help ASAP please
Answers
Triangles are similar
x/5=12/1313x=60x=60/13x=4.615x=4.62Option E
Answer:
Both of the triangles are similar but they look like they have been rotated a bit. Sides x is similar to 12 and side 5 (the hypotenuse) is similar to 13. Therefore we can just set up an equation and cross-multiply.
\(\frac{x}{5} = \frac{12}{13}\)
\((x * 13) = (5 * 12)\)
\(13x = 60\)
Divide 12 from both sides
\(13x/13 = 60/13\)
\(x=4.615\)
Best option would be Option E, 4.62