Drag the tiles to the boxes to form correct pairs.
Quadrilateral ABCD has vertices Al-3,4), B(1,3), C(3,6), and D(1,6). Match each set of verti
transformation that shows it is congruent to ABCD.
E(-3,-4), F(1,-3), G(3,-6), and H(1,-6)
a translation 7 units
E(-3,-1), F(1,-2), G(3, 1), and H(1,1),
a reflection across th
E(3,4), F(-1,3), G(-3, 6), and H(-1,6)
a reflection across th
E(4,4), F(8,3), G(10,6), and H(8,6),
a translation 5 units
Answers
Answer:
Correct Pairs:
E(4, 4), F(8, 3), G(10, 6), and H(8, 6) ⇒ a translation 7 units right
E(3,4), F(-1,3), G(-3, 6), and H(-1,6) ⇒ a reflection across the y-axis
E(-3,-4), F(1,-3), G(3,-6), and H(1,-6) ⇒ a reflection across the x-axis
E(-3,-1), F(1,-2), G(3, 1), and H(1,1) ⇒ a translation 5 units down
Step-by-step explanation:
In Mathematics Geometry, translation just means 'moving'. A move without altering the size, rotation or anything else. When you perform a translation on a shape, the coordinates of that shape will change.
Translation right means you would add the translated unit to the x-coordinates of the of the point, let say P(x, y), in the original object.
Translation down means you would subtract the translated unit from the y-coordinates of the of the point, let say P(x, y), in the original object.
In Mathematics, a reflection just means a 'flip' over a line.
A reflection across x axis means, if a point P(x, y) is reflected across the x-axis, the x coordinate remains the same, while y coordinate changes its sign. i.e. the point (x, y) is changed to (x, -y).
A reflection across y axis means, if a point P(x, y) is reflected across the y-axis, the y coordinate remains the same, while x coordinate changes its sign. i.e. the point (x, y) is changed to (-x, y).
Now, lets head towards the solution:
Analyzing "a translation 7 units right"
As the given ABCD Quadrilateral has vertices as A (-3, 4), B (1, 3), C (3, 6) and D (1, 6).
As EFGH is congruent to ABCD.
And
A translation of ABCD 7 units right would bring the following transformation:
A (-3, 4), B (1, 3), C (3, 6) and D(1, 6) ⇒ A'(4, 4), B'(8, 3), C'(10, 6), and D'(8, 6)
As EFGH ≅ ABCD
So,
Here are the matching vertices when a translation 7 units right is made:
E(4, 4), F(8, 3), G(10, 6), and H(8, 6) ⇒ a translation 7 units right
Analyzing "a reflection across the y-axis"
As the given ABCD Quadrilateral has vertices as A (-3, 4), B (1, 3), C (3, 6) and D (1, 6).
As EFGH is congruent to ABCD.
And
A reflection of ABCD across the y-axis would bring the following transformation:
A(-3, 4), B (1, 3), C(3, 6) and D(1, 6) ⇒ A' (3, 4), B'(-1, 3), C'(-3, 6) and D'(-1, 6)
As EFGH ≅ ABCD
So,
Here are the matching vertices when a reflection across the y-axis is made:
E(3,4), F(-1,3), G(-3, 6), and H(-1,6) ⇒ a reflection across the y-axis
Analyzing "a reflection across the x-axis"
As the given ABCD Quadrilateral has vertices as A (-3, 4), B (1, 3), C (3, 6) and D (1, 6).
As EFGH is congruent to ABCD.
And
A reflection of ABCD across the x-axis would bring the following transformation:
A(-3, 4), B (1, 3), C(3, 6) and D(1, 6) ⇒ A' (-3, -4), B'(1, -3), C'(3, -6) and D'(1, -6)
As EFGH ≅ ABCD
So,
Here are the matching vertices when a reflection across the x-axis is made:
E(-3,-4), F(1,-3), G(3,-6), and H(1,-6) ⇒ a reflection across the x-axis
Analyzing "a translation 5 units down"
As the given ABCD Quadrilateral has vertices as A (-3, 4), B (1, 3), C (3, 6) and D (1, 6).
As EFGH is congruent to ABCD.
And
A translation of ABCD 5 units down brings the following transformation:
A (-3, 4), B (1, 3), C (3, 6) and D(1, 6) ⇒ A' (-3, -1), B'(1, -2), C'(3, 1) and D'(1, 1)
As EFGH ≅ ABCD
So,
Here are the matching vertices when a translation 5 units down is made:
E(-3,-1), F(1,-2), G(3, 1), and H(1,1) ⇒ a translation 5 units down
Here is summary of matched Pairs:
E(4, 4), F(8, 3), G(10, 6), and H(8, 6) ⇒ a translation 7 units right
E(3,4), F(-1,3), G(-3, 6), and H(-1,6) ⇒ a reflection across the y-axis
E(-3,-4), F(1,-3), G(3,-6), and H(1,-6) ⇒ a reflection across the x-axis
E(-3,-1), F(1,-2), G(3, 1), and H(1,1) ⇒ a translation 5 units down
Keywords: reflection, translation, transformation
Learn more about transformation from brainly.com/question/2523916
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Related Questions
simplify (5^x+2-5^x)/5^x×4
Answers
Answer:
6
Step-by-step explanation:
The given expression is,
[tex]\frac{5^{x+2}-5^x }{5^x\times4}[/tex]
Now, we know that,
[tex]a^{m+n} = a^m . a^n[/tex]
Then,
[tex]5^{x+2}=5^x . 5^2[/tex]
So,
[tex]\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5^x.5^2-5^x}{5^x\times4}[/tex]
Now, taking [tex]5^{x}[/tex] common from the numerator of the given expression, then
[tex]\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5^x(5^2-1)}{5^x\times4}[/tex]
[tex]\implies\frac{5^{x+2}-5^x }{5^x\times4}=\frac{5^2-1}{4}[/tex]
[tex]\implies\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5\times5-1}{4}=\frac{25-1}{4}[/tex]
[tex]\implies\frac{5^{x+2}-5^x}{5^x\times4}=\frac{24}{4}=6[/tex]
So, the simplified form of the given expression gives the result 6.
(Score for Question 1: ___ of 5 points)
1. In a candy shop, jellybeans which sell for $2.50 a pound are mixed with skittles which sell for $4 a pound to form a jellybean-skittles mix that sells for $3.50 a pound. How much of each are used to make 30 pounds of the mixture?
(a) Write a system of linear equations that models this situation.
(b) Use the substitution or elimination method to solve for how many pounds of jellybeans and how many pounds of skittles are used to make the 30-pound mixture.
Hint:
Equation one will represent that jellybeans and skittles will equal a total amount of pounds.
Equation 2 will represent that cost of each individual component (added together) equal the total cost of a 30-pound mixture.
Answer:
(Score for Question 2: ___ of 5 points)
2. Sam and Kevin both worked hard over the summer. Together they earned a total of $425. Kevin earned $25 more than Sam.
(a) Write a system of equations for the situation. Use s for the amount Sam earned and k for the amount Kevin earned.
(b) Solve the system of equations.
Answer:
3. (Score for Question 3: ___ of 5 points)
Solve the system of equations by substitution.
6 = −4x + y
−5x − y = 21
Answer:
Solve the system by the elimination method.
2x + y = 20
6x – 5y = 12
Answer:
please help me immediately please!!! whoever answers this gets marked brainliest
Answers
Answer:
The separated values of x and y from the given equation is [tex]x=\frac{13-3y}{4}, y=1-\frac{4}{13}x[/tex]
Step-by-step explanation:
Given equation is [tex]4 x+3y=13[/tex]
Now to find the separated values of x and y with the given equation.
Now find the value of x and so we have to separate the value x from the given equation
[tex]4x+3y=13[/tex]
[tex]4x=13=3y[/tex]
[tex]x=\frac{13-3y}{4}[/tex]
Therfore [tex]x=\frac{13-3y}{4}[/tex]
Now find the value of y and so we have to separate the value y from the given equation
[tex]4x+13y=13[/tex]
[tex]13y=13-4x[/tex]
[tex]y=\frac{13-4x}{13}[/tex]
[tex]y=\frac{13}{13}-\frac{4x}{13}[/tex]
[tex]y=1-\frac{4}{13}[/tex]
Therefore [tex]y=1\frac{4}{13}x[/tex]
The separated values of x and y from the given equation is
[tex]x=\frac{13-3y}{4}, y=1-\frac{4}{13}x[/tex]
if point A(-6,-2) of a trapezoid is moved through the translation (x+1, y-3) what will coordinates of A1 be?
Answers
Answer:
A1(-5,-5)
Step-by-step explanation:
given : A(-6,-2)
simply apply the translation to the coordinates above
A1 ( -6 + 1, -2-3) = A1(-5,-5)
2/9x+5=2/3
I have to rewrite the equation so it doesn’t have a fraction
Answers
Answer:
2x + 45 = 6
Step-by-step explanation:
(2/9)x + 5 = 2/3 Subtract 5 from both sides
(2/9)x +5-5=2/3-5
(2/9)x = - 4 1/3 Multiply by 9
2x = -13/3 * 9
2x = -39
x = -19.5
==============
I see. You don't want it solved. Multiply by 9 to clear the fractions.
==============
2x + 45 = 6
==============
Solve it now. It should be easier.
2x = 6 - 45
2x = - 39
x = -19.5
Mark bought 8 bags of sand, each weighing 25 lb, for $1.68/bag. One bag ripped and he lost all the sand. What was his true price per pound of sand?
Answers
Answer:
4.80 rounded
Step-by-step explanation:
All of the x values or inputs are called what?
Answers
An employee earns $175 for 15 hours work.
Assuming he is paid by the hour, how much will this employee earn in 18 hours?
Answers
Answer:
$210
Explanation:
175/15 = 11.67
11.67x18 = 210
The amount of money that employees earn in 18 hours with the same rate of change will be $210.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
An employee earns $175 for 15 hours of work.
Per hour earning = $175/15
Earning in 18 hours will be, 175/15 x 18 = $210
Hence "The amount of money that employees earn in 18 hours with the same rate of change will be $210".
To learn more about the rate of change here,
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Complete each of the ratios on the table show calculations
Answers
Answer:
From left to right:
2, 4, 32
Step-by-step explanation:
Using the one column which is completed, determine the ratio of yellow to blue by reducing to lowest terms.
yellow to blue = 8 to 16
8 and 16 are both divisible by 8. 8/8 = 1 and 16/8 = 2
8 to 16 = 1 to 2
This means there is half as much yellow paint as there is blue paint. If said backwards, there is double the amount of blue paint as there is yellow paint.
In the first two columns, yellow paint is blue paint divided by 2.
4/2 = 2
8/2 = 4
In the last column, blue paint is yellow paint times 2.
16 X 2= 32
All of the ratios yellow to blue are:
2 to 4
4 to 8
8 to 16
16 to 32
A function has an input of -6. What is the output if the function rule is y = 2x - 1?
Answers
A function has an input of -6. The output of function is -13
Solution:
Given that function has a input of -6
To find: output of function
Given function rule is y = 2x - 1
The input of the function is "x" and output of function is "y"
By substituting the given input value of "x" in the function rule, we will get the output of function
y = 2x - 1
Plug in x = -6 in above function rule
y = 2(-6) - 1
y = -12 - 1
y = -13
Therefore the output of function is -13
BRAINLIEST!!!
Find the probability that a point chosen at random lies in the shaded region.
Answers
Answer:
0.56
Step-by-step explanation:
First, we need to look at the size of the image as a whole. It is 10x10, so it has 100 squares within it.
When counted, there are 56 shaded squares.
This gives us [tex]\frac{56}{100} =0.56[/tex]
the answer is 0.56, because there’s 56 shades squares.
Explanation: there’s 100 squares, 56 are shaded 56/100.
Help solving this math
Answers
Answer:
Rank 1 - plane.
Rank 2- line.
Rank 3- point.
Step-by-step explanation:
Here, I have given the ranks based on what includes what.
Rank 1 is given to plane because infinite lines together makes a planes
and infinite points together makes a line.
so, Rank 1 includes both Rank 2 and Rank 3.
Now, Rank 2 is line because it consists of infinite number of points together
and is used to form a plane.
Rank 3 is point as it is the basic thing for any line or plane
See, it is simple, group of points make a line and group of lines make a plane.
visualize it this way,
When you zoom too in a plane, you see a line and when you zoom too in a line, you see a point.
how does this polynomial identity work on numerical relationships?
(y + x) (ax + b)
Answers
Answer:
Let us take 'a' in the place of 'y' so the equation becomes
(y+x) (ax+b)
Step-by-step explanation:
Step 1:
(a + x) (ax + b)
Step 2: Proof
Checking polynomial identity.
(ax+b )(x+a) = FOIL
(ax+b)(x+a)
ax^2+a^2x is the First Term in the FOIL
ax^2 + a^2x + bx + ab
(ax+b)(x+a)+bx+ab is the Second Term in the FOIL
Add both expressions together from First and Second Term
= ax^2 + a^2x + bx + ab
Step 3: Proof
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
Identity is Found .
Trying with numbers now
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)
((10)+8)(7) =(2*25)+(4*5)+(40)+(16)
(18)(7) =(50)+(20)+(56)
126 =126
Harry is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $15 for the meal, plus $4 per pound for the lobster he picks. At the second restaurant, Harry would pay $3 per pound for the lobster, in addition to $38 for the meal. Harry realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. How much would Harry pay for his dinner? What is the weight?
Answers
Answer:i’m not sure but i think it’s around 10-11 for per pound for the lobsters.
Step-by-step explanation:
15$ + 4per lobster = 19$ and 38$+$3=41 so it should be around that amount of 22
he would pay $107
and it would weigh 23 pounds
Step-by-step explanation:
15+4p=x
38+3p=x
15+4p=38+3p
subtract 3p from both sides
15+p=38
subtract 15 from both sides
p=23
15+4(23)=107
38+3(23)=107
Anna baked
3
33 batches of cookies with
c
cc cookies in each batch. She then ate
8
88 cookies!
How many cookies does Anna have left?
Write your answer as an expression.
Answers
Answer:
expression for cookies Anna have 3c- 8
Step-by-step explanation:
Given:
Number of cookie batches Anna baked = 2
Number of cookies in each batch = c
Number of cookies Anna ate = 8
To Find:
An expression representing the number of cookies left with Anna
Solution:
Let the expression representing the number of cookies left with Anna be y
First let us find the total number of cookies Anna baked
She baked 3 batches of cookies and each batch had c cookies in it
So,
Total number of cookies Anna baked = number batches X Number of cookies in each batch
=>[tex]3 \times c[/tex]
=> 3c
Now Anna ate 8 from 3c cookies, so she will be left with
=>3c-8 cookies
So , y = 3c- 8
If half the positive difference between 4.81 and 2.25 is multiplied by 0.32, what is the result?
Answers
The distance between 4.81 and 2.25 is 2.56.
Divide 2.56 by 2.
2.56 / 2 = 1.28.
Then multiply 0.38 by 1.28.
128 x 32 = 4096, then move the decimal 4 times to the left.
4096.
The decimal is behind the 6, you need to move the decimal in front of the 4.
Therefore, your result is 0.4096.
Sole by substitution.
-3x+2y=16
X-2y=-12
Answers
Step 1: Rewrite equations
-3x+2y=16
x-2y=-12
Step 2: Changing the second equation
With substitution, you have to already have the equation to solve for the specific variable (ex: x=y+1;y=x+1). Since the equation doesn’t give us one, we can flip the second equation to give us this.
Let’s add 2y on both sides.
x-2y=-12
+2y +2y
_________
x=2y-12
Now we have the equation to solve for x!
Step 3: Substituting
Now we need to substitute x into the first equation. Let’s do this now.
-3(2y-12)+2y=16
Step 4: Solving for y
-3(2y-12)+2y=16
*distribute*
-6y+36+2y=16
*combine like terms*
-4y+36=16
*subtract 36 on both sides*
-4y=-20
*divide both numbers by -4*
y=5
This is y! Now we need to solve for x.
Step 5: Solving for x
To find x, let’s just substitute y into the equation and solve
x=2y-12
x=2(5)-12
x=10-12
x=-2
Step 6: Ordered pair
(X,y) —> (-2,5)
This is your answer! Hope this helps comment below for more questions :)
Answer:
For the given equations the values of x and y by using substitution method are [tex]x=1[/tex] and [tex]y=\frac{13}{2}[/tex]
Step-by-step explanation:
Given system of equations are
[tex]-3x+2y=16\hfill (1)[/tex]
[tex]x-2y=-12\hfill (2)[/tex]
Solve the given equations by substitution method:
Now (2) implies
[tex]x-2y=-12[/tex]
[tex]x=-12+2y\hfill (3)[/tex]
Now substitute the x value in equation (1)
[tex]-3x+2y=16[/tex]
[tex]-3(-12+2y)+2y=16[/tex]
[tex]36-6y+2y=16[/tex]
[tex]36-4y=16[/tex]
[tex]-4y=16-36[/tex]
[tex]y=-(\frac{-26}{4})[/tex]
[tex]y=\frac{26}{4}[/tex]
Therefore [tex]y=\frac{13}{2}[/tex]
Now substitute the y value in equation (3)
[tex]x=-12+2y[/tex]
[tex]x=-12+2\times \frac{13}{2}[/tex]
[tex]x=-12+13[/tex]
[tex]x=1[/tex]
Therefore [tex]x=1[/tex] and [tex]y=\frac{13}{2}[/tex]
5. Statistical Literacy What terminology do we use for the probability of
rejecting the null hypothesis when it is true? What symbol do we use for
this probability? Is this the probability of a type I or a type II error?
Answers
Answer:
The correct option is type I error.
Step-by-step explanation:
Consider the provided information.
Type I error is the error occur when we reject the true null hypothesis,
Type II error is the error occur when we fail to reject false null hypothesis.
Now consider the provided information.
The symbol do we use for this probability is type I error.
Hence, the correct option is type I error.
AA cash register has only one-dollar bills and five-dollar bills, and no change. There are $6$6 times as many one-dollar bills as five-dollar bills. The total amount in the cash register is $231.
Answers
Answer:
There are 126 $1 bills and 21 $5 bills.
Step-by-step explanation:
Given,
Total cash Amount = $231
Solution,
Let the number of $1 bill be 'x'.
And the number of $5 bill be 'y'.
Now according to question, one-dollar bills is six times of five-dollar bills.
So, we can frame it in equation form as;
[tex]x=6y[/tex] ⇒ equation 1
Again according to question, there is only one-dollar bills and five-dollar bills, and no change.
That means the total cash amount is in the form of $1 and $5.
So, we can frame the above sentence in equation form as;
[tex]1\times x+5\times y=231\\\\x+5y=231[/tex]⇒ equation 2
Now substituting the value of x in equation 2, we get;
[tex]6y+5y=231\\\\11y=231\\\\y=\frac{231}{11}=21[/tex]
So, [tex]x=6y=6\times 21=126[/tex]
Hence There are 126 $1 bills and 21 $5 bills.
seven friends have a similar cell phone plan
Answers
A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y?
Answers
Answer:
The value of x will be an interger above or equal to 0. The value of y will be a interger equal or above 0.
Step-by-step explanation:
You can never buy a negative amount of books (x). You can only spend a positive amount of money. So even if she did not buy a book it would be 0, never under it.
Answer: it's the 2nd one
Step-by-step explanation: The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0
If 3 boxes can hold 27 books, how many boxes can hold 108 books?
Answers
1 box holds 9 so u divide 108 by 9 to get 12.
U can also multiply 3 and 27 until u get 108. First divide 108 by 27 and get 4. so u then multiply 4 times 3 to get 12.
Answer:
Step-by-step explanation:
No of books that 3 boxes can hold = 27 books
No of boxes required =(3/27) * 108 = 3*108 / 27 = 3 *4 = 12
12 boxes are required
Paul brought and sold a computer .he wrote his business activity as followers cost price of computer =$1064 marked price of computer =$1399 discount on marked price =5%
Answers
Answer:
Profit = $265.04.
Selling price = $1329.05
Step-by-step explanation:
Paul brought a Computer at a cost price of $1064.
Now ,
The marked price of the computer is given as $1399.
Also,
He is giving a total discount of 5% on the marked price of the computer i.e., $1399.
So, The selling price of computer will become 95 percent of $ 1399 which equals $1329.05.
Thus Paul sold the computer at a profit of $1329.05 - $1064
= $265.04.
Answer:
A) selling price of computer is $1329.05
B) Profit is $265.05
C) Profit percentage = 24.9%
Step-by-step explanation:
Given as :
The cost price of computer = c.p = $1064
The marked price of computer = m.p = $1399
The marked percentage discount = d = 5%
Let The selling price of computer = s.p
Now, According to question
discount% = [tex]\dfrac{m.p - s.p}{m.p}[/tex]
Or, d% = [tex]\dfrac{m.p - s.p}{m.p}[/tex]
Or, 5% = [tex]\dfrac{1399 - s.p}{1399}[/tex]
Or, [tex]\dfrac{5}{100}[/tex] = 1 - [tex]\dfrac{s.p}{1399}[/tex]
Or, [tex]\dfrac{s.p}{1399}[/tex] = 1 - [tex]\dfrac{5}{100}[/tex]
Or, [tex]\dfrac{s.p}{1399}[/tex] = [tex]\dfrac{95}{100}[/tex]
∴ s.p = [tex]\dfrac{95}{100}[/tex] × 1399
Or, s.p = $1329.05
So,The selling price of computer = s.p = $1329.05
Now, Profit = selling price - cost price
or, p = s.p - c.p
Or, p = $1329.05 - $1064
∴ Profit = $265.05
Now, Profit % = [tex]\dfrac{\textrm profit}{c.p}[/tex]
Or, p% = [tex]\dfrac{\textrm 265.05}{1064}[/tex]
∴ p% = 0.249
i.e p = 0.249 × 100
So, profit percentage = 24.9%
Hence, A) selling price of computer is $1329.05
B) Profit is $265.05
C) Profit percentage = 24.9% Answer
A rectangle has a length of 6 and a width of y + 4. Use the distributive property to write an expression to represent the area of the rectangle.
Answers
Answer:
[tex]\large\boxed{A=6y+24}[/tex]
Step-by-step explanation:
[tex]\text{The formula of an area of a rectangle:}\\\\A=l\times w\\\\l-\text{length}\\w-\text{width}\\\\\text{We have:}\\\\l=6,\ w=y+4\\\\\text{Substitute:}\\\\A=6\times(y+4)\\\\\text{use the distributive property}:\ a(b+c)=ab+ac\\\\A=(6)(y)+(6)(4)\\\\A=6y+24[/tex]
Final answer:
To find the expression that represents the area of the rectangle, use the distributive property. The expression is 6y + 24.
Explanation:
To find the expression that represents the area of the rectangle, we can use the distributive property. The area of a rectangle is given by the formula A = length imes width. So, for this rectangle, the length is 6 and the width is y + 4. To distribute the 6, we multiply it by both terms inside the parentheses: A = 6(y) + 6(4). This simplifies to A = 6y + 24, which is the expression that represents the area of the rectangle.
ASAP Need this answer, would appreciate it.
Answers
Answer:
Let's begin by explaining the following:
The magnitude of any number (a charge in this particular case) is the distance this number has from 0 on the number line.
Now, since according physics a distance can never be negative, the magnitude of a number will always be positive. This means the magnitude of these given charges will always be positive, no matter if they are negative, positive or neutral.
Having this clarified, let's answer:
Element A has a charge of +5 and its magnitude is +5
Element B has a charge of -3 and its magnitude is +3
Element C has a charge of 10 and its magnitude is +10
ratio of girls to boys at a movie is 5:7 if there are 28 boys how many girls are at the movie?
Answers
For every 7 boys there are 5 girls.
Divide the number of boys by the ratio for boys: 28 / 7 = 4
Now multiply that by the ratio for girls:
4 x 5 = 20
There are 20 girls.
Subtract these polynomials.
(2x2 + 4x + 3) - (4x2 - 2x-3) =
O A. - 2x2 + 2x+0
O B. 6x2 + 6x + 6
O C. 6x2+2x+ 0
O D.-2x2+68+6
Answers
Answer:
B. -2x2 + 6x + 6.
Step-by-step explanation:
(2x2 + 4x + 3) - (4x2 - 2x-3) Distribute negative over the parentheses:
= 2x2 + 4x + 3 - 4x2 + 2x + 3
= 2x2 - 4x2 + 4x + 2x + 3 + 3
= -2x2 + 6x + 6.
The correct answer to the polynomial subtraction question is D. -2x^2 + 6x + 6, obtained by changing the sign of each term in the second polynomial and then combining like terms.
Explanation:To subtract the given polynomials, we remove the parentheses and change the sign of each term in the second polynomial before combining like terms:
(2x2 + 4x + 3) - (4x2 - 2x - 3)
= 2x2 + 4x + 3 - 4x2 + 2x + 3
Now, combine like terms:
(2x2 - 4x2) + (4x + 2x) + (3 + 3)
= -2x2 + 6x + 6
The correct answer is D. -2x2 + 6x + 6.
THE GRINCH FOUND THE STRENGTH OF
2x6x3) ÷4+1 GRINCH'S PLUS TWO
Answers
Answer: 2x6x3=36 divided by 4=9+1=10.
The expression (2x6x3) ÷ 4 + 1 Grinch's plus two is solved using the order of operations, giving a result of 10 plus two Grinch's, symbolized as 10 + 2G.
Explanation:The question is a basic arithmetic problem that involves both multiplication and addition within parentheses, followed by division and then more addition.
The order of operations, often abbreviated as PEMDAS - which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right) - must be followed to solve the expression correctly.
Let's solve the expression step by step:
First, handle the expression within the parentheses: (2x6x3), which is multiplication. So, 2 times 6 equals 12, and 12 times 3 equals 36.Now, divide the result by 4: 36 ÷ 4 equals 9.Finally, add 1 to the result of the division: 9 + 1 equals 10.Add the last element of the expression, which is two Grinch's. Since we're not given a numerical value for a Grinch, let's symbolize it as 'G'. Therefore, if one Grinch is 'G', two Grinch's would be '2G'.The final answer is 10 plus two Grinch's, which we write as 10 + 2G.
Rebecca has a monthly plan that charges her $45.50 each month for unlimited talk and text. For each gigabyte of data that she uses, she has to pay an additional $5.25. If the cost of her bill is represented by variable C and the number of gigabytes is represented by the variable g, write an equation that represents this situation.
Answers
Answer:
C = $5.25g + $45.50
Step-by-step explanation:
The $45.50 is her monthly bill and does not change. The additional fee determines on the amount of gigabytes she used which is undetermined, using the variable g. It cost $5.25 per gigabyte. C is her total/the bill.
Answer:
C = $5.25g + $45.50
Step-by-step explanation:
What is the standard form of this complex number?
1 / (3 - sqrt-4)
A. 3/13 + 2/13i
B. 3/5 + sqrt-2/5
C. 3 - 2i
D. 3 + 2i
Answers
Answer: A
Step-by-step explanation:
The standard form of this complex number is A. 3/13 + 2/13i
=3+2i/9-4(-1)
=3+2i/9+4
=3+2i/13
What is an example of a complex number?
Complex numbers in mathematics. Complex numbers are numbers expressed in the form of a + ib. Here, a and b are real numbers, and "i" is an imaginary number called "iota". The value of i = (√-1). For example, 2 + 3i is a complex number, 2 is a real number (Re), and 3i is an imaginary number.
Complex numbers are numbers that consist of two parts: real and imaginary. Complex numbers are more complex mathematical components such as algebra. They can be applied to many aspects of real life, especially electronics and electromagnetism.
Learn more about complex numbers here: https://brainly.com/question/10662770
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If 16 is added to 1/3 of a number the result is 3 times the number what is the number?
Answers
Answer: The number is 6
Step-by-step explanation:
Let the number be x,
1/3 of the number is the same as 1/3 of x , so from the first statement , we have
16 + [tex]\frac{1}{3}[/tex]x = 3x
Multiplying the equation through by 3 , we have
48 + x = 9x
48 = 9x - x
48 = 8x
divide through by 8
therefore :
x = 6
Therefore : the number is 6