We need to know about translation along vector to solve the probelm. The coordinates of the figure after translation along the vector (5,-4) are (2,-4), (3,0) and (4,-4).
Translation means moving an object from one place to another. Every point on the object moves the same amount of distance and in the same direction. Translation of a point along a vector means moving the point to a different location with respect to the given vector. Here we have three points which form a triangle JKL, we have to translate triangle JKL with respect to the vector (5,-4) to get triangle QRS. Inorder to translate a point along a vector we add the x-coordinate of the vector to the x-coordinate of the point and same for the y-coordinates.
J (-3,0) Q (-3+5,0-4)≡(2,-4)
K (-2,4) R (-2+5,4-4)≡(3,0)
L (-1,0) S (-1+5,0-4)≡(4,-4)
Therefore we get the coordinates of triangle QRS after translation of triangle JKL along vector (5,-4) to be (2,-4), (3,0) and (4,-4)
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HELP PLEASEEEE PLEASEEEEE
A scientist records the motion of a dolphin as it jumps from the water. The function`h\left(t\right)=-8t^{2}+32t` models the dolphin’s height in feet above the water after t seconds.
What is the most reasonable domain for this situation? Explain your answer.
Answer:
34
Step-by-step explanation:
3esw
Answer:
The domain is 0≤t≤4
Step-by-step explanation:
The domain for this function should not include any negative t values (since that would mean the time is negative) and it should not include any t values where the height is negative (since a negative heigh doesn't make sense in the context of this problem). The t values between 0 and 4 are the only t values where both of these conditions are met.
Solving 2x + 6 = 3x - 8, what is the move that will result in 2x = 3x - 14?
Answer:
6 from 2x+6=3x-8 goes to right side and becomes -6 so -6+(-8)= -14
Step-by-step explanation:
2x+6=3x-8
2x=3x-8-6
2x=3x-14
2x-3x=-14
-x=-14
x=14
can someone help me with 3x+5=11
3x+5=11
3x=6
x=2
Answer is x=2 Hope this helps
The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.
On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).
The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.
On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).
Which equation represents f(x)?
f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1
The translation of the parent function is:
g(x) = ∛(x + 6) + 1
How do translations work?There are two types of translations, these are:
Horizontal translation:
For a function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the translation is to the left.If N is negative, the translation is to the right.Vertical translation:
For a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive the translation is upwards.If N is negative the translation is downwards.Here we start with the parent function:
f(x) = ∛x
And we apply two translations such that:
g(x) = ∛(x + a) + b
Such that:
g(-7) = 0
g(2) = 3
Then we have the system of equations:
∛(-7 + a) + b = 0
∛(2 + a) + b = 3
From the options, the only ones that make the first option true are:
g(x) = ∛(x + 6) + 1
Such that when evaluated in x = -7 we get:
g(-7) = ∛(-7 + 6) + 1 = ∛(-1) + 1 = 0
When evaluated in x = 2 it gives:
∛(2 + 6) + 1 = ∛(8) + 1 = 2+ 1 = 3
So the only option that meets these conditions is:
g(x) = ∛(x + 6) + 1
Which is a translation to the left of 6 units and up 1 unit.
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Answer:
A) f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1
Step-by-step explanation:
I Just take the test
Which expression is equivalent to: n + 2n - 0.28n
A. 3n - 1.28
B. 2.72n
C. 3.28n
D. 2.6n - 1
PLEASE HELPP
which point is on the graph of f(x) = 6x?
answer: (1,6)
does my answers is right?
Based on the given task content, the identity property of each of the questions are below:
4 + (x + y) = (4 + x) + y
Distributive propertyIf √49 = 7 and 7 = 3 + 4, then √49 = 3 + 4
Transitive property(mn) × 1 = mn
Distributive property(x + 3) × 0 = 0
Zero property(x + 2) + y = (2 + x) + y
Distributive property2(1/2) = 1
Inverse property3 = 3
Reflexive property10k² + (-10k²) = 0
Inverse property5(x + 7) = 5x + 35
Distributive propertyIf -7v = 28, then 28 = -7v
Symmetric propertyProperty of identityDistributive property states that multiplying the sum of two or more number gives the same result.
Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z.
The additive inverse property states that adding a number and the inverse of the same number gives a sum of 0.
The multiplicative inverse property states that multiplying a nonzero number with the inverse of the same nonzero gives a product of 1.
The reflexive property of equality states that a number is always equal to itself, that 1 = 1
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How many kilograms are in 242,000 milligrams?
Answer:
.242 Kilograms
Step-by-step explanation:
To convert milligrams to kilograms multiply the value by .000001 or move the decimal mark 6 places to the left.
Answer:
0.242 kg
Step-by-step explanation:
divide the mass by 1e+6
K(x)=12(1+1)^x,k(3)
Show how you got the answer step by step
Quadratic Equation to Standard Form
Step-by-step explanation:
The general Quadratic Form is [tex]ax {}^{2} + bx + c = 0 \\ - 2 {x}^{2} - 3x + 19 = 0 \\ divide \: the \: whole \: equation \: by \: - 1 \\ 2 {x}^{2} + 3x - 19 = 0[/tex]dividing the wholeequation by -1 is to make sure that the coefficient of x^2 is positive.30. QP, given Q(0, 6) and P(-4, -2)
Domain
Range
Answer:
I think the domain would be the x values and range would be the y values in the given 2 points.
Domain : [-4 , 0]
Range : [-2 , 6]
I hope you get this right.
Write an expression and then evaluate.
Answer:
60
Step-by-step explanation:
replace a and y with their numbers
(4+6+7+3)3
add the numbers in the bracket first
4 + 6 + 7 + 3 = 20
multiply by 3
20 x 3 = 60
help. answer is not D
Answer:
It would be C or B
Step-by-step explanation:
can't be A because A is 0 and there is no way you could be able to draw 0 lines so it would most likely be C
HELP, I NEED IT ASAP!!!!!!!!!!!
Which conversions involve multiplying by a positive power of 10? Select all that apply.
(1.) 6 kiloliters = ___ centiliters
(2.) 800 meters = ___ hectometers
(3.) 0.8 dekameters = ___ decimeters
(4.) 13 hectograms = ___ milligrams
A 2-column table with 7 rows. Column 1 has entries kilo, hecto, deka, unit, deci, centi, milli. Column 2 has entries 1,000, 100, 10, 1, 0.1, 0.01, 0.001.
Answer:
its A C D
Step-by-step explanation:
did it on edg and got it right
Answer:
it is 1,3 and 4
Step-by-step explanation:
What’s the answer thank you
Answer:
C
Step-by-step explanation:
Division can be done by "cross multiplying", or multiplying the first equation by the reciprocal of the second equation.
In answer c, the first term remains the same, but the second is the reciprocal of the original. Also, the operator has changed from division to multiplication, so C is the correct answer.
The profits of Mr. Unlucky's company can be represented by the equation f(x)=−3x^2+18x−4, where y is the amount of profit in hundreds of thousands of dollars and x is the number of years of operation. He realizes his company is on the downturn and wishes to sell before he ends up in debt.What is the maximum profit?
Answer:
Step-by-step explanation:
maximum years would be where x=-b/2a or -18/-6 or x=3
put that into the equation to get y=-27+54-4=23 hundreds of thousands.
from year 3 on, the profit decreases
the zero point is where y=0 this is -3x^2+18x-4=0
or 3x^2-18x+4=0
quadratic formula
x=(1/6)(18+/-sqrt(324-48)); sqrt 276=16.61
x=(34.61/6)=5.77 years, so 2.77 years of decreasing profits.
ginger and matt have a total of $124.00 dollars. ginger has 1$2.00 more than 3/4 of the amount matt has. how much money does ginger have? How much does matt have?
The amount of money that Matt has will be $64.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Ginger and matt have a total of $124.00 dollars. Ginger has $12.00 more than 3/4 of the amount Matt has.
Let x be the amount that Ginger has and y be the amount that Matt has. Then the equations will be
x + y = 124 ...1
x = (3/4)y + 12 ...2
From equations 1 and 2, then we have
(3/4)y + 12 + y = 124
(7/4)y = 112
y = $64
Then the amount that Ginger has will be
x = (3/4)64 + 12
x = 48 + 12
x = $60
The amount of money that Matt has will be $64.
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What is the value of x in the equation 3 - 2x= -1 5x?
Answer:
x = -2
Step-by-step explanation:
Simplifying
2x + -5x = 3x + 12
Combine like terms: 2x + -5x = -3x
-3x = 3x + 12
Reorder the terms:
-3x = 12 + 3x
Solving
-3x = 12 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3x + -3x = 12 + 3x + -3x
Combine like terms: -3x + -3x = -6x
-6x = 12 + 3x + -3x
Combine like terms: 3x + -3x = 0
-6x = 12 + 0
-6x = 12
Divide each side by '-6'.
x = -2
Simplifying
x = -2
How does the number line below represent the product of a positive number and a negative number? Drag words and numbers to explain. Each tile may be used once, more than once, or not at all. A number line from negative 5 to 0. Start at 0. Count back three times, each time by negative 1 point 5. End at negative 4 point 5. – 1.5– 3– 4.5positivenegative The number line shows 3 • = – 4.5. The number line shows three groups of a number, which results in a product.
Answer:
I cannot see the number line mentioned here, but I'll explain how you multiply negative and positive using tiles and number line.
To multiply positive and a negative nunber, for instance, 2(–3), you'll think of it as 2 groups of negative one in three's. Using tiles you have
–1 –1
–1 –1
–1 –1
Two groups of negative one in three's, adding that up we have 6.
Using number line. See 2(–3), for instance, as moving twice in intervals of –3. If I am to multiply that, starting from 0, if I move once, I'll land at –3, if I move one more time, I'll land at –6. Since I am to move twice, that's the required answer.
what is the percent of 45% of $432
Answer:
45% of 432 is 194.4
Step-by-step explanation:
Answer:
I'm not too sure what your question is asking, I'm guessing you want to know what 45% of $432 is
45% of $432 is $194.4
Step-by-step explanation:
% basically means out of 100 so 45% is 45 out of 100:
45/100(432)
19440/100
194.4
What is the area of the circle shown below? 14 cm
Answer:
154cm squared
Step-by-step explanation:
You can buy 5 pounds of chicken from Key food for $19.95. You can also buy 4 pounds of chicken from TraderJoes’s for $18.00. Which one is the better deal?
Answer:
key food has the better deal
Step-by-step explanation:
19.95/5 = 3.99 per pound and 18/5 = 4.50 per pound
Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. ... Conversely, irrational numbers include those numbers whose decimal expansion is infinite, non-repetitive and shows no pattern.
Answer:
The rational number includes only those decimals, which are finite and repeating.
Step-by-step explanation:
Rational Number is defined as the number which can be written in a ratio of two integers in the form a/b where a,b are integers and b≠ 0, while an irrational number is a number which cannot be expressed in a ratio of two integers (that is it cannot be expressed as fraction in the form a/b).
The rational numbers are numbers whose decimal expansion are finite and repeating, while irrational numbers include those numbers whose decimal expansion is infinite, non-repetitive and shows no pattern e.g. π.
The table below shows the the total cost of admittance for a basketball game,y, for x students
Answer:
The 2nd one
Step-by-step explanation:
what does “pi” equal?
Answer:
here!
Step-by-step explanation:
"In decimal form, the value of pi is approximately 3.14."
hope this helps! :)
Answer:
pi equal 3.141492654 ................. and more but that is the standard answer
Step-by-step explanation:
2933445 + 9398988989
Answer:
9,401,922,434
Step-by-step explanation:
Answer:
the answer its 9.401.922.434
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2.85 tons when rounded to the nearest hundrenth
Answer:
Hundredth is expressed as 1/100 0r 0.01. Rounding off of 2.85 tons = 3.00 tons
Step-by-step explanation:
can you help me with this it’s been due
- (4, 5) and (4, -2) -
We can find the slope by using rise/run
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{5-(-2)}{4-4} \\[/tex]
As expected, the slope is indeed undefined. The denominator can't be 0 but this one has denominator that's 0 which is undefined.
Meaning that, when the x-value for both ordered pairs are the same, the slope will be undefined.
For the graph, It should be like this below in the picture.
Can I plz plz plz get some help
PLZ dont ignore me! I need help on this :(