What is the coordinate of G' if triangle E'F'G' is created by dilating EFG with a factor of 4 about the origin?
Answers
The coordinate of G' if triangle E'F'G' is created by dilating EFG with a scale factor of 4 about the origin is (8, -8).
The types of transformation.In Mathematics, there are different types of transformation and these include the following:
ReflectionRotationTranslationDilationWhat is dilation?Dilation can be defined as a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Since the dilatation was centered around the origin, then we would multiply the coordinate of G by a scale factor of 4 as follows:
G = (2, -2) → G'[(4 × 2), (4 × -2)]
G = (2, -2) → G'(8, -8)
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Related Questions
Maths
Chapter:- Triangle and it's properties
Answers
Using the Pythagorean Theorem, the values of x are given as follows:
First triangle: x = 12.Second triangle: x = 21.What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
Hence, in the first triangle:
x² + 35² = 37²
x² = 37² - 35²
x² = 144
x = sqrt(144)
x = 12.
On the second triangle, we have two right triangles, hence:
x = a + b.
a² + 8² = 10²
a² = 36
a = sqrt(36)
a = 6.
b² + 8² = 17²
b² = 225
b = sqrt(225)
b = 15.
Hence the value of x is given as follows:
x = a + b = 6 + 15 = 21.
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name 3 fractions between 2/8 and 3/8
Answers
Answer:
1/3, 2/7, and 3/10
Step-by-step explanation:
2/8 = 0.25
3/8= 0.375
1/3=0.333333
2/7=0.28571
3/10=0.3
Suppose the cost of an item is c. First, the cost is discounted by 30%. Then sales tax of 6.5% is added to the sales price. Write an algebraic expression for the final cost of the item using the variable c.
Answers
The Algebraic expression for the final cost of the item using the variable c is 0.7455c
The cost of the item is c
Algebraic expression after discounting the cost by 30%
c - 30%of c
c- 0.3c
0.7c
Now, Algebraic expression after the application of 6.5% of sales tax
0.7c + 6.5%of 0.7c
0.7c +0.065(.7c)
0.7c +0.0455c
0.74.55c
Hence, 0.7455c is the algebraic expression for the final cost of the item using the variable c.
The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values.
We learned how to express an unknown number using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.
Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
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please help me I'm running out of time!!
Answers
Answer:
The answer is hotdog you can cook the hotdog and eat it
Not negative because
-13X-13X-13X-13
If even than it’s always going to be positive if odd always going to be negitive
Hope this helps
The total cost (in cents) of x+2 markers is x³+5 x²+2 x-8
a. Write an expression that models the cost of each marker.
Answers
An expression that models the cost of each marker, when the cost of x + 2 markers is x³ + 5 x² + 2 x - 8, is x² + 3 x - 4
Given,
Total number of markers = x + 2
The total cost of markers = x³ + 5 x² + 2 x - 8
An expression to model the cost of each marker can be found by dividing the total cost of markers by the total number of markers.
This implies, the expression can be given as :
(x³ + 5 x² + 2 x - 8) / (x + 2)
x² + 3 x - 4
_______________
x + 2 | x³ + 5 x² + 2 x - 8
x³ + 2 x²
________________
3 x² + 2 x
3 x² + 6 x
________________
- 4 x - 8
- 4 x - 8
_________________
0
The quotient of this division is the expression that the cost of each marker.
Therefore, An expression that models the cost of each marker when the cost of x + 2 markers is taken into account. x³ + 5 x² + 2 x - 8, is x² + 3 x - 4
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The points (t,–4) and (2,–8) fall on a line with a slope of –2. What is the value of t?
Answers
The value of t for which the points (t,–4) and (2,–8) fall on a line with a slope of –2 as required in the task content is; 0.
What is the value of t for which the points (t,–4) and (2,–8) fall on a line with a slope of –2?It follows from the task content that the value of t for which the points (t,–4) and (2,–8) fall on a line with a slope of –2 be determined.
Since, slope, m = (y2-y1) / (x2-x1)
Ultimately, the value of t can be determined as follows;
-2 = (-8-(-4))/(2-t)
-4 +2t = -4
2t = 0
t = 0.
Therefore, the value of t for which the points (t,–4) and (2,–8) fall on a line with a slope of –2 as required in the task content is; 0.
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HELPPPPPP PLEASE!!!!
A cannery processed 1,445 pounds of strawberries in 4.5 hours. The cannery processed 2,320 pounds in 7 hours. Write a linear equation to model the relationship between the weight of the strawberries S and time T. How many pounds of strawberries can be processed in 11 hours?
Answers
Answer:
S = 350T - 130, where T is the number of hours and S is the number of pounds.
If T = 11, then S = 3,720 pounds.
Step-by-step explanation:
[tex]m = \frac{2320 - 1445}{7 - 4.5} = 350[/tex]
[tex]2320 = 350(7) + b[/tex]
[tex]2320 = 2450 - b[/tex]
[tex]b = - 130[/tex]
So we have S = 350T - 130. Substituting 11 for T, we have S = 3,720 pounds.
K12 1.07 QUIZ: Subtract Integers OnOff Question What is the difference? −5−6 −11 negative 11 −1 negative 1 1 1 11 11 Skip to navigation
Answers
Answer:
11
Step-by-step explanation:
Write each equation in logarithmic form.
243=3⁵
Answers
The logarithmic form of the equation is [tex]log_{3}243=5[/tex] .
In mathematics, the logarithmic function is the inverse of power. Then the function is given as f(x) = log x The logarithm base is a. This can be read as the logarithmic base a of x. The two most common bases used in logarithmic functions are base 10 and base e. The logarithm function has several properties that allow the logarithm to be simplified when the input is in the form of products, quotients, or values raised to powers.We have given an equation 243 = 3⁵ .
Taking log on both sides , we get
[tex]log(243) =log3^5[/tex] ..(1)
Applying the property of logarithm which is given by [tex]loga^b=bloga[/tex] in equation (1) ,we get
[tex]log(243) =5log3[/tex]
On rearranging the above equation , we get
[tex]\frac{log243}{log3} =5[/tex] ..(2)
Applying the property of logarithm which is given by [tex]log_xy=\frac{log_ay}{log_ax}[/tex]\
[tex]\frac{log243}{log3}[/tex] can be written as [tex]log_{3}243[/tex] using property
Putting in equation (2) , we get
[tex]log_{3}243=5[/tex]
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Julia decides to purchase the BLT stock, which pays a dividend. What will the 1.2% dividend on her $1,000 investment be?
What are the costs of this investment?
Select the correct answer from each drop-down menu.
Julia will receive $
She will have to pay
in dividends each year.
to buy the stock.
on that income. An additional cost of this investment includes
Answers
Answer:Julia will receive $12 she will have to pay TAXES on that income.An additional cost of this investment includes A BROKER FEE to buy a stock
Step-by-step explanation:
Solve 6(x-3)=45
How do u do this?
Answers
Answer:
It is 6×x 6x-18=45
6x=45-18
=27
6x=27
27 divided by 6 = 4.5
what is the gcf of 16 and 48
Answers
Answer:
16
Step-by-step explanation:
The GCF of two non-zero integers, x(16) and y(48), is the greatest positive integer m(16) that divides both x(16) and y(48) without any remainder.
Answer:16
Step-by-step explanation: i did this question on a test before
Which expression is a factor of this polynomial?
X^3+2x^2-9x-18
-
9x 18
-
OA.
(x + 1)
OB. (x + 2)
OC. (x-6)
OD. (x - 2)
Answers
The factor is the solution of zeros of the equation and x + 2 making it zero therefore x + 2 will be the solution of the given polynomial so option (B) will be correct.
What are the roots of an equation?Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.
Given the polynomial,
x³ + 2x² - 9x - 18
A factor is consist of a solution of zeros of any polynomial.
For example;
x² + 5x + 6 = 0
x(x + 2) + 3(x + 2) = 0
(x + 3)(x + 2) = 0
Here x + 3 and x + 2 are factor and solution is x = -3 and -2
Similarly,
x³ + 2x² - 9x - 18 = 0
The factor must be the solution to this.
By cross-checking option
Option (A) x + 1 = 0 → x = -1
Keeping x = -1
(-1)³ + 2(-1)² - 9(-1) - 18 = -8 ≠ 0 so it is not the factor.
Option (B) (x + 2) = 0 → x = -2
(-2)³ + 2(-2)² - 9(-2) - 18
-8 + 8 + 18 - 18 = 0 = 0 so it will be factor of the polynomial.
Hence " x + 2 will be the solution of the given polynomial".
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first to answer gets brainly
Answers
Answer: x = 61
Step-by-step explanation:
combine both angles to equal 180 in one formula
2x+3+x-6=180
then add the sides up
3x-3=180
add 3 to both sides
3x=183
divide
x=61
The cross-section of a lean-to shelter is in the shape of a triangle. The base of the triangle is 66 feet more than twice its height. If the area of the triangle is 108108 square feet, determine the length of the base and the height of the triangle in feet
Answers
A triangle with an area of 108 square feet has a base length and height equal to 24 feet and 9 feet, respectively.
Given that the cross-section of the lean-to shelter is in the shape of a triangle, its area is the area of a triangle.
A = 1/2bh
where b is the length of the base
h is the height
If the base of the triangle is 6 feet more than twice its height, then we have b = 6 + 2h.
A = 1/2bh
A = 1/2(6 + 2h)(h)
A = h^2 + 3h
If the area of the triangle is 108 square feet, then
A = h^2 + 3h
108 = h^2 + 3h
h^2 + 3h - 108 = 0
Getting the roots of the polynomial.
h^2 + 3h - 108 = 0
(h - 9)(h + 12) = 0
h = 9 ; h = -12
Since h must be a positive number, h = 9 feet.
Substitute the value of h in the equation for b.
b = 6 + 2h
b = 6 + 2(9)
b = 6 + 18
b = 24 feet
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Given f(x) = x + 9, write the new function if the y-intercept is decreased by three unit.
Answers
Answer:
f(x) = x + 6
Step-by-step explanation:
if the y-intercept is decreased by 3 units in the slope formula where b is the y-intercept, then the answer is x + 6
PLS PLS HELP OMG PLSS
Answers
The time that Natasha will be able to finish the last piece of equipment will be 8.15 pm
How to calculate the time?It should be noted that the following information can be deduced based on the information given:
Steeper = 18 minutes
Treadmill = 25 minutes
Rower = 27 minutes
Bike = 1 hour 5 minutes = 65 minutes
Total minutes = 18 + 25 + 27 + 65 = 135 minutes = 2 hours 15 minutes
It should be noted that there's an interval of 5 minutes between each equipment. The time for all the equipment will be:
= 5 × 3 = 15 minutes
Therefore since the starting time is 5.45 pm, the ending period will be:
= 5.45 + 15 minutes + 2 hours 15 minutes
= 8.15 pm
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Please explain thank u
Answers
Answer:
x = 6
Step-by-step explanation:
multiply by 6 the whole equation to eliminate fractions and convert the coefficients and independent numbers to integers:
[tex]4x-1=3x+5[/tex]
[tex]4x-3x=5+1[/tex]
[tex]x=6[/tex]
Hope this helps
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
In the equation:
[tex] \frac{2}{3} x - \frac{1}{6} = \frac{1}{2} x + \frac{5}{6} [/tex]
Multiply both sides of the equation by the common denominator which is 6
[tex] \frac{2 \times 6}{3} x - \frac{1 \times 6}{6 } = \frac{1 \times 6}{2} x + \frac{5 \times 6}{6} [/tex]
[tex] ⟹ \frac{12}{3} x - \frac{6}{6} = \frac{6}{2} x + \frac{30}{6} [/tex]
Reduce the fraction
[tex]4x - 1 = 3x + 5[/tex]
Now, collect like terms to find the value of x
[tex]4x - 3x = 5 + 1[/tex]
Therefore:
[tex]x = 6[/tex]
I hope this helps 6x-x²
——————->0
2x² - 4x - 6
Answers
Answer:
Step-by-step explanation saz mix dururtuuuutruturutrutrtru
Im VERY confused on how to do this entire problem
Answers
a) The Linear equation is,
y = 13.5x + 119.5
b) The annual membership fee at this club is $119.5.
c) The fee that is charged each time a member plays racquetball is $13.5.
What is Linear equation?
The linear equation of a line with slope m is defined as;
y = mx + b
Now, Let the linear equation is;
y = mx + b
For, Jay played racquetball 77 times and payed a total of $1159.
1159 = 77m + b .... (i)
And, For Sammy played racquetball 37 times and payed a total of $619.
619 = 37m + b ... (ii)
Solve both equation as;
1159 - 619 = 77m - 37m
40 m = 540
m = 13.5
And, b = 119.5
Hence, The Linear equation is,
y = 13.5x + 119.5
So, The annual membership fee at this club is $119.5
The fee that is charged each time a member plays racquetball is $13.5.
Hence,
a) The Linear equation is,
y = 13.5x + 119.5
b) The annual membership fee at this club is $119.5.
c) The fee that is charged each time a member plays racquetball is $13.5.
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Can Anyone help me with this please
Answers
An algebra word problem that can be used to explain the given expression is;
If the cost of a box is $16 and the cost of a bag is $14. Peter decides to buy x number of boxes. If his brother wants to buy bags to be same number as the number of boxes bought by his brother and he spends $8 more than the cost of the bags, how many boxes did peter buy?
How to create Algebra Word Problems?We are given the algebraic expression as;
16x = 14x + 8
Algebraic word problems are defined as questions that need translation of sentences to equations, and then solving those equations. It usually has a single variable that represents a quantity in a real-life scenario that is unknown.
Now, an algebra word problem that can be used to explain the given expression is;
If the cost of a box is $16 and the cost of a bag is $14. Peter decides to buy x number of boxes. If his brother wants to buy bags to be same number as the number of boxes bought by his brother and he spends $8 more than the cost of the bags, how many boxes did peter buy?
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v=
5.7+67v= -9.3+65v
Answers
Step-by-step explanation:
let's write it a little bit nicer
5.7 + 67v = -9.3 + 65v | subtract 65v on both sides
5.7 + 2v = -9.3 | subtract 5.7 on both sides
2v = -9.3 - 5.7 = -15 | divide both sides by 2
v = -7.5
need help with pic in
Answers
Step-by-step explanation:
I don't know what the equations are, but I'll do my best to help
ax² + bx + c
"a" is multiplied by (-4) and (c), as well as 2 in the denominator
"b" is put in front of the equation so, hypothetically speaking, b = -1
-b = -(-1) = 1 so it would turn a positive into a negative and a negative into a positive number.
b is also squared so no matter what it will be positive in √b² - 4ac
"c" is multiplied by (-4) and (a)
If I knew the equations I could help more but this is probably the best I can do.
I hope this helps!
Hank's pickup can travel 75 miles on5 gallons of gas. How many gallons will Hank's pickup need to travel 60 miles?
Answers
The answer is 4
Step-by-step explanation:
Answer:
4 gallons
Step-by-step explanation:
75/5=15
This means that per gallon gives 15 miles.
15*4=60
1 gallon x 4 = 4 gallons.
Answer = 4 gallons
Hope this helps :)
PLSSSSS HELP
what is |19|
Answers
Answer:
19
Step-by-step explanation:
The answer stays the same
Answer:
|19|
Step-by-step explanation:
The absolute value of a positive number stays positive.
pls help asap no rush tho
Answers
Answer:
32.4! or 9 with the square root of 13!
Step-by-step explanation:
You have to add the outside numbers and keep 13 the same. Then proceed answer that getting 32.4.
Hopefully this answered your question have a nice day! :D
Simplify. 3 √18 +2√72
Answers
The rationalized expression in general term is given by: 21√2
What is rationalization?Rationalization is a mathematical operation that allows us to determine or eliminate a root of the denominator of a fraction, so that it can be expressed in linear form, either decimal or integer, by the product of a root.
3 √18 +2√72, in this expression we have no values in the denominator, so we must only decompose the square root to reduce the term without altering its value.
√18 = √2×3×3 = √2√3² = 3√2√72 = √2×2×2×3×3 = √2³×3² = 3×2√2 = 6√23√18 +2√72
3×3√2 + 2×6√2
9√2 + 12√2
21√2
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12 is printing posters for the upcoming
Hunger Games. The printer charges $180
plus $2.50 per poster. How many posters can
District 12 purchase, if they plan to spend
$1000?
Answers
Answer:
328 Posters
Step-by-step explanation:
$1000-$180 = $820
$820/$2.50 = $328
To Check Answer:
328 x 2.50 = 820
820 + 180 = 1000
Find an equation in the form y = ax²+bx+c for the parabola passing through the points.
(-4,-40), (-3,-13), (-2,4)
Answers
the formula for the parabola that passes through the points, y = ax2 + bx + c. The values of a, b, and c are -9, -19,32 respectively.
What exactly does parabola mean?The intersection of a right circular cone with a plane parallel to an element of the cone creates a plane curve, which is equivalent to a point moving so that its distance from a given point equals its distance from a fixed line.
based on the available facts;
Parabola fundamental: y = ax2 + bx + c
We can plug in three locations for (x, y) to get three equations at once.
(-4, -40): 40 = 4a - 2b + c {equation 1}
(-3, -13): -13 = 9a + 3b + c {equation 2}
(-2,4): 4 = a - b + c {equation 3}
Solve this system to find the values of a, b, c
Let's first eliminate variable c:
4a - 2b + c = -40 {equation 1}
a - b + c = 4 {equation 3}
--------------------- subtract
3a - b = -44
9a + 3b + c = -13 {equation 2}
a - b + c = 4 {equation 3}
-------------------- subtract
8a + 4b = -17
We now have two equations with 2 unknowns we can use to find a, b
3a - b = -44 {equation 4}
8a + 4b = -4 {equation 5}
Multiply equation 4 through by 4 and add equations
12a - 4b = -176
8a + 4b = -4
----------------- add
20a = -180
a = 180/20
a = -9
8a + 4b = -4
4b = -76
b = -19
Plug these 2 values into one of the original equations and solve for c
4 = a - b + c {equation 3}
4 = -9-19 + c
4 = -28 + c
4+28= c
c = 32
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What is the first step?
Choice A
Choice B
Choice C
Choice D
1 of 3
Solve a multistep equation.
Solvex+4=8
The first step is:
A. Add 4 to both sides.
B. Subtract 4 from both sides.
dx to
D. Add 8 to both sides.
C Add
x to both sides
SUBMIT
Answers
the option tray days subtract 4 from both sides.