Answer:
Translation (x,y) = (-3,+3)
U' = (-1,10)
G' = (1,0)
Step-by-step explanation:
The translation of x and y (U') = -1,10
The translation of y (G') = 1,0
It's subtracting 3 (for x) and adding 3 (for y)
The coordinates of U' and G' for this translation are U' = (5, 9) and G' = (7, 6).
What is the definition of the term translation?In mathematics, a translation is the movement of a shape to the left or right and/or upward or downward. The translated shapes appear to be the same size as that of the original shape, and thus the shapes are congruent. They were simply shifted in one or even more directions.For the given question,
MUG has coordinates M(9,-6), U(2,7), and G(4,3).
A translation maps point M(9,-6) to M'(6,-3).
There is a translation of 3 units on x and y axis.
Thus, applying same translation to the other two coordinates.
U'= (2 + 3, 7 + 3) = (5, 9)
G'= (4 +3, 3 + 3) = (7, 6)
Thus, the coordinates of U' and G' for this translation are U' = (5, 9) and G' = (7, 6).
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1b. True or False? Explain your answer without multiplying. 2 points
(2x - 3)(5x^2 - 2x + 6) = (3x-2)(5x^2 - 2x + 6)
ANSWER AND EXPLANATION:
Answer:
FalseStep-by-step explanation:
Solution 1The easy way is to compare the leading terms or constants.
LHSThe leading term is:
2x*5x² = 10x³The constant is:
(-3)*6 = -18RHSThe leading term is:
3x*5x² = 15x³The constant is:
(-2)*6 = -12We see both the leading terms (10x³ ≠ 15x³) and constants (-18 ≠ -12) are different so the equation is false.
Solution 2We see one of the factors is same on both sides:
5x² - 2x + 6The other factors are:
2x - 3 = 3x - 2Since this factor is different on both sides, the equation is false
False
How?
Let 5x^2-2x+6 be A
The expression will be
[tex]\\ \sf\longmapsto A(2x-3)=A(3x-2)[/tex]
[tex]\\ \sf\longmapsto 2x-3=3x-2[/tex]
But it's impossible
[tex]\\ \sf\longmapsto 2x-3\neq 3x-2[/tex]
4. If all we were told about the diagram below was ADG, then what conclusions could you draw? Explain
your answer.
G
Answer: Points A, D, and G are collinear, meaning they all lie on the same line.
Step-by-step explanation:
The table shows a proportional relationship. What is the value of y when x = 29.4?
x
0.7
3.5
8.4
24.5
y
0.4
2
4.8
14
Answer:y=16.8
Step-by-step explanation:
proportional means that x/y= constant
so there the constant is 1.75
if x=29.4 then 29.4/y =1.75
y = 29.4/1.75
y=(a-8)²
make a the subject
Step-by-step explanation:
hope this helps, if it's wrong just tell me but I am confident it's right
What is the domain and range of the function?
Domain:
Answer:
Domain: {x∈R}
Range: {f(x)∈R | f(x) ≥ 0}
Step-by-step explanation:
The domain of a function is, in simple terms, all the possible x values of a function (input values), and as the graph shows that all x values are possible (x, 0 and -x) meaning x can be any rational number, represented by the R and the subset symbol (∈).
The range is all the possible f(x) values (outputs/y values) and if you look at the graph you see that it isn't possible for the f(x)/output/y values to be negative so we write:
{f{x}∈R (f(x)/output/y value is rational) | (and) f(x) ≥ 0 (f(x)/output/y value is bigger or equal to 0, not negative)}
Hope I helped :)
5x(x−2)+6x−3(x^2−7)
is equivalent to which of the following expressions?
A) 2x^2+6x−9
B) 2x^2−4x−21
C) 2x^2−16x+21
D) 2x^2−4x+21
Answer:
D) 2x^2 - 4x + 21
Step-by-step explanation:
5x(x−2)+6x−3(x^2−7) = 2x^2 - 4x + 21
0 = 0
I used a calculator, pls let me know if im incorrect
The given expression 5x(x−2)+6x−3(x²−7) will be equivalent to 2x²- 4x + 21. The correct option is D.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is 5x(x−2)+6x−3(x²−7). The expression will be solved as below:-
E = 5x(x−2)+6x−3(x²−7)
E = 5x² - 10x + 6x - 3x² + 21
E = 2x² - 4x + 21
Therefore, the given expression 5x(x−2)+6x−3(x²−7) will be equivalent to 2x²- 4x + 21. The correct option is D.
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What number could be a common denominator for these two fractions?
3/10 and 1/5
Answer:
5 could be the common denominator
Step-by-step explanation:
explain how the inverse and the contopositivve of a conditional are alike and how they are different
Answer:
See explanation!
Step-by-step explanation:
The contrapositive of a conditional is similar to, yet different from, the inverse of the conditional.
The best way to explain this is to create an example. You should start by creating a conditional; you can then form the conditional's inverse and contrapositive.
Here is an example:
Conditional: If C, then D. (starting statement)
Inverse: If not C, then not D. (opposite of the conditional)
Contrapositive: If not D, then not C. (reversed opposite of the conditional)
Based on the information from the example, you can conclude:
Primary Similarity:
Both the contrapositive and the inverse are opposites of the conditional (both contain not, implying something would not happen under the given circumstances, rather than something would happen under those circumstances).
Primary Difference:
The contrapositive is a reversed version of the inverse; this causes them to most commonly have different meanings.
I am sure you could find more similarities/differences, but these were the two that stood out to me the most!
I hope this helps! :)
In a bag of marbles there are 3 red, 4 green, and 3 blue marbles. Which probabilities represent Nora's chances of NOT picking a green marble? (pick three boxes) *
Answer choice :: (numbers)
²/₅
6%
40%
60%
³/₁₀
.3
3%
³/₅
30%
4%
.6
.4
Answer:
3/5
Step-by-step explanation:
Red + blue marbles/ Total marbles
If 15x + 20=a(bx + c), where a, b and c are integers, and a > 1,what is
the value of a? 3, 4, 5, 10, or 15
Since a > 1, b cannot be greater than 15, hence the value of a can be 3, 4, 5, and 10
Given the expression 15x + 20=a(bx + c),
To get the value of a, we will need to factor out the given expression as shown:
15x + 20=a(bx + c)
15x + 20=abx + ac
Comparing both sides
15x = abx
15 = ab
a = 15/b
Since a > 1, b cannot be greater than 15
Hence the value of a can be 3, 4, 5, and 10
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Tìm cực trị của hàm số y = 2x3 - 6x + 2.
Step-by-step explanation:
câu này 2x3 hay 2^3 vậy bạn
Solve for the value of m.
73°(6m-1)º
Step-by-step explanation:
6m-1+73=180 (linear pair)
6m+72=180
6m=180-72
6m=108
m=108/6
m=18°
What is the side length of square A?
The quotient of a number and 4 is less than -1.
Answer:
inequality: n/4 < -1
n < -4
Step-by-step explanation:
1. "The quotient of a number and 4" means that we're dividing a number, n, by 4: [tex]\frac{n}{4}[/tex]. "Less than -1" means that we have to use the < (less than) sign and put -1 after it. When we put these terms in a quantity, they look like this: [tex]\frac{n}{4} < -1[/tex].
2. Now, let's solve the inequality above.
Step 1: Multiply both sides by 4.
[tex]\frac{n}{4}*4 < -1 * 4[/tex] [tex]n < -4[/tex]Therefore, the inequality is n/4 < -1, and the solution to that inequality is n < -4.
According to financial reports, the average household credit card debt in 2010 was $7768 and in 2012 was $7117. What is the rate of change of the credit card debt per year? If this trend were to continue, how much would you expect the average household credit card debt to be in 2016?
Answer: 1953
Step-by-step explanation: You need to subtract 7768 and 7117 to find the average change in 2 years; you get 651, divide this by 2 to find the amount of change in 1 year and you'll get 325.5, now if we take 325.5 times 6 (the amount of years until 2016) you will find 1953 as the answer.
please do this for me
Answer:
hope it will helpful for uhh
make me brainliest plz
Work out the value of
n
1
4
÷
√
2
=
2
n
Give your answer as an improper fraction.
Answer:
0
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
Find the slope of a line if it goes through (2, 5) and (-2,9)
Hello!
The slope of a line is found using the following formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{9-5}{-2-2}[/tex]
[tex]m=\frac{4}{-4}\\m=-1[/tex]
So the slope is -1.
Hope this helps!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
Jay pays $5.25 for 5 water bottles. What is the price per water bottle?
Answer:
1.05
Step-by-step explanation:
you do 5.25/5 and that makes 1.05
Hi there!
»»————- ★ ————-««
I believe your answer is:
$1.05 per bottle
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\frac{\text{Price}}{\text{Number of Water Bottles}} \rightarrow\frac{5.25}{5}\rightarrow\frac{5.25/5}{5/5}\rightarrow\ \frac{1.05}{1}\rightarrow \boxed{\$1.05}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
next term in each sequence 1,4,20,120,...
Answe840is the answers for the question
Step-by-step explanation:
please mark me as brainlest
what fraction of a clockwise revolution does the hour of a clock turn through when it goes from a) 4 to 7 b) 8 to 2 c) 1 to 10
Answer:
a) 3/12 = 1/4
b) 6/12 = 1/2
c) 9/12 = 3/4
Step-by-step explanation:
To find the distance traveled by the hour hand, subtract the beginning position from the ending position. For example, in a, the distance traveled between 4:00 and 7:00 is three hours. Since there are 12 total hours on a clock, the fraction would be 3/12 (traveled/whole revolution). Simplify further to get 1/4.
The other two problems are very similar to the explanation above. Treat the second problem's ending time as 14:00, since it is two hours after 12:00.
Hope this helps!
A point is plotted on a horizontal number line.The absolute value of the number represented by the point is 6.If the point is to the left of 0, then the point is located at_______.If the point is to the right of 0, then the point is located at_______.Whether the point is to the left or right of 0, the distance from 0 to the point is ____units.
Answer:
A point is plotted on a horizontal number line.The absolute value of the number represented by the point is 6.If the point is to the left of 0, then the point is located at -6.If the point is to the right of 0, then the point is located at 6.Whether the point is to the left or right of 0, the distance from 0 to the point is 6 units.
Step-by-step explanation:
Have a good day :)
3/4 x 7/10 = ? in a fraction simplest form
Answer
[tex]\frac{0.525}{1}[/tex]
Step-by-step explanation:
The solution to the fraction in simplest form is 21/40
How to calculate the solution to the fraction?The fraction is given as
3/4 × 7/10
The next step is to multiply both fractions
= 3×7/4×10
= 21/40
The result gotten from the multiplication of both fractions cannot be broken down into simplest forms. Therefore the answer is 21/40
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25. 2x + 3y = 4
- 3x + 2y = 6
Demtermine if each of the lines are perpendicular
Answer:
the lines are perpendicular
Step-by-step explanation:
PLEASE HELP ASAP!!!!! <333
Answer: Scientific notations
1) 4.4822 x 10^10
2) 1.05 x 10^-5
3) 9.5 x 10^-4
4) 4.2035 x 10^5
5) 2 x 10^4
Step-by-step explanation:
Answer:
1. 4.4822 x 10^10
2. 1.05 x 10^-5
3. 9.5 • 10^-4
4. 4.2035 x 10^8
5. 2 x 10^4
6. 0.092 x 10^6
7. 0.5014 x 10^-3
8. 400 x 10^-14
9. 0.77 x 10^8
10. 0.0215 x 10^1
PLEASE HELP ASAP!!!!!!!!
<3
Answer:
Step-by-step explanation:
1. 9.3521x10^12
2. 8.07x10^-3
3. 8x10^8
4. 5.2x10^4
5. 4.8x10^4
6. 8.369x10^9
7. 9x10^14
8. 2x10^2
9. 2.44x10^-3
10. 9x10^4
4x - y + z = -5
-x + y -z = 5
2x -z -1 = y
linear systems 3 variables I'm lost
Step-by-step explanation:
rewriting the third equation
[tex]4x - y + z = - 5 \\ - x + y - z = 5 \\ 2x - y - z = 1[/tex]
add to second equation to the first
[tex]4x - y + z = - 5 \\ + (- x + y - z )= 5 \\ = 3x = 0 \\ x = 0[/tex]
[tex] - y + z = - 5 \\ y - z = 5 \\ - y - z = 1[/tex]
I add third equation to the second
[tex]y - z = 5 \\ + ( - y - z) = 1 \\ = - 2z = 6 \\ z = - 3[/tex]
substitute z = -3 into either one of the other two equations and solve for y
[tex] - y + ( - 3) = - 5 \\ - y - 3 = - 5 \\ - y = - 2 \\ y = 2[/tex]
x = 0
y = 2
z = -3
Answer:
x=0,z=-3,y=2
Step-by-step explanation:
sry for late response
the distance between points S and T is 61 units. point S is located at (-6,8) and point T is at (x,-3). what could be the value of x?
The distance between two points is the number of units between them
The possible value of x is -66
The given parameters are:
[tex]\mathbf{S = (-6,8)}[/tex]
[tex]\mathbf{T = (x,-3)}[/tex]
[tex]\mathbf{ST = 61}[/tex]
Distance ST is calculated using:
[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{d = \sqrt{(-6 - x)^2 + (8 - -3)^2}}[/tex]
[tex]\mathbf{d = \sqrt{(-6 - x)^2 + (8 +3)^2}}[/tex]
[tex]\mathbf{d = \sqrt{(-6 - x)^2 + 11^2}}[/tex]
Substitute 61 for d
[tex]\mathbf{ \sqrt{(-6 - x)^2 + 11^2} = 61}[/tex]
Square both sides
[tex]\mathbf{ (-6 - x)^2 + 11^2 = 61^2}[/tex]
[tex]\mathbf{ (-6 - x)^2 + 121 = 3721}[/tex]
Subtract 121 from both sides
[tex]\mathbf{ (-6 - x)^2 = 3721 - 121}[/tex]
[tex]\mathbf{ (-6 - x)^2 = 3600}[/tex]
Take square roots of both sides
[tex]\mathbf{ -6 - x = 60}[/tex]
Add 6 to both sides
[tex]\mathbf{ - x = 60 + 6}[/tex]
[tex]\mathbf{ - x = 66}[/tex]
Multiply both sides by -1
[tex]\mathbf{ x = -66}[/tex]
Hence, the possible value of x is -66
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£800 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three times as much as Stephen. How much does Richard get?
Answer: Natasha = 480; Richard = 240, Stephen = 80
Step-by-step explanation:
Let N, R, and S stand for the amounts Natasha, Richard and Stephen receive. The problem tells us that:
N = 2R, and
R = 3S
We know that N+R+S = 800
Since N=2R and R=3S, N = 6S
N+R+S = 800
6S+3S+S=800
10S=800
S=80
R=3S or 240
N=2R or 480
Conclusion:
N gets 480
R gets 240,
and S gets 80
That adds to 800.
. . . AND the last conclusion is that I need to meet Natasha. Please send Stephen home.
PLEASE HELPPP!!!!!! NO LINKS
Answer:
1/2 of an answer is zero answer.i dont know
Step-by-step explanation: