So firstly, factor out the GCF, or greatest common factor. To find the GCF, list the factors of every term and the greatest one they all share is their GCF. In this case, the GCF is "a":
[tex]a(a^2+4a+4)[/tex]
Next, we are going to apply the square of binomials rule in this situation, which is [tex](x+y)(x+y)=x^2+2xy+y^2[/tex] In this case:
[tex]a^2+4a+4=(a+2)(a+2)\\\\a(a+2)(a+2)[/tex]
Your final answer is [tex]a(a+2)(a+2)[/tex]
Reflectional symmetry is the quality a design has if it maintains _____ when it is reflected across an axis or line of symmetry. A. some characteristics B. all characteristics C. no characteristics
The correct answer would be B, all characteristics. Reflectional Symmetry is when an object is divided into halve in which to completely identical pieces are left.
(B) All characteristics.
Reflection symmetry:In mathematics, symmetry with regard to a reflection is known as reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry. In other words, a figure with reflectional symmetry does not alter when it is reflected.There is a symmetry line or axis in 2D and a symmetry plane in 3D. A mirror-symmetric object or figure is one that is identical to its changed counterpart. In conclusion, the shape is divided in two by a line of symmetry, and both parts should be the same.Therefore, the correct option to fill the blank is (B) All characteristics.
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as improper fraction 2 1/2
5/2 because its 2 times 2 plus one for the numerator and the denominator stays 2
What is the value of f(x) = 3x - 5 when x = 6
Plug in 6 for x in the equation:
f(6) = 3(6) - 5
Remember to follow PEMDAS. First, multiply
f(6) = 3(6) - 5
f(6) = 18 - 5
Finally, subtract
f(6) = 18 - 5
f(6) = 13
f(6) = 13 is your answer
hope this helps
find x if a =13 and C = 47 need help
So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you dont have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be simplified to 45 or two decimal points 45.167. Hope that Helped! :)
can someone give me an example on how to graoh and equation like these plz asap thanks
to graph you have to look ate the first number and move forward or backwards on the x axis if it is negative move backward if it is normal move forward
for the y axis(second number) go up or down again if it is posative move up
if it is negative move down
P.S. move from ''0''
Brianna is graphing the function f(x) = x2 + 6x + 5. What x-intercepts should Brianna use to graph f(x)?
to find t he x intercepts factor the quadratic and set them = to 0
x^2 +6x+5 = 0
(x+5) (x+1)=0
x+5 = 0 x+1=0
x=-5 x=-1
the x intercepts are -5, x=-1
Answer:
-5 -1
Step-by-step explanation:
if a cashier can count a certain sum of cash in 2 hours and another cashier can count the same sum in 3 hours then both cashiers working together will count this sum in what
they can do it in five hours
Complete the mapping of the vertices of ΔDEF. D(2, –4) → D' E(1, –1) → E' F(5, 1) → F' What is the rule that describes a reflection across the line y = x? rx = y(x, y) →
D(2, –4) → D' = (-4, 2)
E(1, –1) → E'= (-1, 1)
F(5, 1) → F'=(1, 5)
What is the rule that describes a reflection across the line y = x?
rx = y(x, y)= (y, x)
The rule which describes a reflection across the line is y(x, y) --> (y, x) and the mapping of the vertices of ΔDEF is (-4, 2)D', (-1, 1)E' , (1, 5)F'.
What is reflection?The reflection of a plane or shape is flipping the original figure with respect to a reference line.
The following steps are used to for reflecting a shape-
Select the shape which has to be reflected.Select a base line or reference line over which the shape has to be reflected.Mark the corners of the shape at the equidistant from the reference line as the original shape has, but in the opposite direction.The reflected shape is now is facing the opposite direction.The rule that describes a reflection across the line says that when your reflect a point across the line say y=x. Then the coordinates of x and y are interchanged as,
y(x, y) → (y, x)
Now let's complete the mapping of the vertices of ΔDEF using the above rule. For this, change the places of x and y coordinate as,
D(2, –4) → (-4, 2)D'
E(1, –1) → (-1, 1)E'
F(5, 1) → (1, 5)F'
Thus, the rule which describes a reflection across the line is y(x, y) --> (y, x) and the mapping of the vertices of ΔDEF is (-4, 2)D', (-1, 1)E' , (1, 5)F'.
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Examine the worked problem and solve the equation.
The solution is x =
Answer:
x = 7
Step-by-step explanation:
Edginuity, got le question correct humans
Based on the expression given, the for x will be 7.
From the diagram given, we can see that the last expression that's given is 4x/3 = 28/3. The next thing that will be done in this case is to cross multiply and this will be:
4x/3 = 28/3.
Cross multiply
4x × 3 = 28 × 3
12x = 84
x = 84/12.
x = 7
Therefore, the value of x will be 7.
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What is −13+2z=−56 Thanks
To solve the equation −13+2z=−56, we isolate z by first adding 13 to both sides, giving 2z=−43, and then dividing both sides by 2, resulting in z=−21.5.
Explanation:The student is asking for the solution to the linear equation −13 + 2z = −56. To solve for z, we need to perform two steps. First, add 13 to both sides of the equation to isolate the term with z on one side. This gives us 2z = −43. Next, we divide both sides by 2 to solve for z, which results in z = −21.5.
the 8th grade class planned a trip to kings dominion and 120 students went. Ten students rode with their parents. The rest rode on two charter busses. How many stidents were on each bus
120-10=110/2=55 students per bus
Step one: 120-10= 110
Step two: 110÷2=55
Answer: 55 students per bus
One number is one-fifth of another number. The two numbers total 18. Find the numbers
Answer:
One number is 17 and the other is 85.
Step-by-step explanation:
Let the numbers be m and n. Let m = (1/5)n. Note that m+n = 18.
Substituting (1/5)n for m in the 2nd equation, we get (1/5)n + (5/5)n = 18. Multiplying all three terms by 5 to remove fractions, we get n + 5 = 90, so that n = 85. m is (1/5) of 85, or m = 17.
Final answer:
The two numbers in question are 15 and 3. To find them, establish a variable for the larger number, set up an equation based on the given ratio and sum, solve for the variable, and divide by five to get the smaller number.
Explanation:
The student wishes to find two numbers where one number is one-fifth of the other and their sum is 18. Let's denote the larger number as x and the smaller number as one-fifth of x, or x/5. The equation representing their sum is x + (x/5) = 18. To solve for x, we first find a common denominator, which is 5, and rewrite the equation as 5x/5 + x/5 = 18. Combining like terms gives us 6x/5 = 18. Multiplying both sides by 5/6, we get x = (18 × 5) / 6. Simplifying this gives x = 15. We then calculate x/5 to find the smaller number, yielding 3. Therefore, the larger number is 15 and the smaller number is 3.
Mia needs to separate 450 pens into 18 packs.each pack will have the same number of pens. How many pens should be put in each pack
Do 450 divided by 18, which equals 25
All you would need to do is divide 450 by 18. This equals 25. So, 25 pens should be put into each pack.
I hope this helps you! Comment if you have any questions or need help with anything else. :)
Selina claims single having one exemption.
Remark
Whatever the table shows is probably the Federal tax. It shows that with one exemption and a biweekly pay of 850 means that 80 is deducted.
The amount of state tax is 21% of the federal fax.
State Tax = 80 * 21/100 = $16.80 Answer
twelve is the same as two-thirds a number diminished by two.
12 = 2/3(x - 3)
Distributive property.
12 = 2/3x - 2
Add 2 to both sides.
14 = 2/3x
Multiply both sides by 3.
42 = 2x
Divide both sides by 2.
21 = x
The value of x is equal to 21.
The equation, twelve is the same as two-thirds a number diminished by two - True
Explanation:To determine if twelve is the same as two-thirds of a number diminished by two, we can set up an equation. Let's represent the number as 'x.' According to the statement, twelve is equal to two-thirds of x diminished by two. Mathematically, this can be written as:
12 = (2/3)x - 2
To solve for x, we need to isolate it on one side of the equation. First, we can add 2 to both sides:
14 = (2/3)x
Next, we can multiply both sides by 3/2 to eliminate the fraction:
14 * (3/2) = x
21 = x
Therefore, the number in question is 21. To confirm, we can substitute x back into the original equation:
12 = (2/3)(21) - 2
12 = 14 - 2
12 = 12
Since the equation is true, we can conclude that the statement is True.
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Complete Question:
Twelve is the same as two-thirds a number diminished by two. True or False ?
which expression correctly shows the sum of 20 and 8minus the product of 3 and 5
It would be 20+8-(3x5).
What is the product in simplest form?
−8/9⋅5/6
The answer is 20/27. 8/9x5/6=20/27.
What is 1 2/4 plus 9 5/10
First we find the fraction in decimal form,
so they it will equal to 1.5 because 2/4 is 0.5 and 9.5 because 5/10 is .5 as well
Then we add and get a whole number which is 11
Answer,
11
Hope this helps :-)
If y = 7x, what happens to x when y is increased by 5 times its original value?
A) x decreases 5 times its original value
B) x increases to 11/5 its original value
C) x also increases 5 times its original value
D) x decrease to 4/5 of its original value
B) Because to find the value of x and y you have to divide x by 7 to make it x and the multiply 7 by y because you divided by the opposite side, which is x.
Which of the following rational numbers is equal to 3 point 4 with bar over 4? 31 over 9, 32 over 9, 33 over 9, 34 over 9
ANSWER
[tex]3.\bar4 =\frac{31}{9}[/tex]
EXPLANATION.
Let [tex]y=3.\bar4---(1)[/tex]
This is a recurring decimal. So we need to multiply by 10 to form a new equation that will cater for the recurring but when subtracted.
Multiply (1) by 10 to obtain,
[tex]10y=34.\bar4---(2)[/tex]
Equation (2) -equation (1) gives;
[tex]9y=31[/tex]
[tex]\Rightarrow y=\frac{31}{9}[/tex]
Hence the correct answer is A.
I need help determining which answer is correct for this question. "Which is the correct label of parallel lines?" Offering 34 points. Thanks in advance.
the answer should be D
The answer shoud be D because the line are across from each other.
I need help with Math please
Write the number name for 43,080,700
The number name for 43,080,700 is Forty-three million, eighty thousand and seven hundred.
It is required to find the number name.
What is real number?Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.
Given:
The number name for 43,080,700 is
Forty-three million, eighty thousand and seven hundred.
Therefore, the number name for 43,080,700 is Forty-three million, eighty thousand and seven hundred.
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use the number line to complete each statement
0.2 as a decimal 1/5 as a fraction 20% as a percentage
3/10 as a fraction 0.3 as a decimal and 30% as a percentage
0.75 as a decimal 75% as a percentage 3/4 as a fraction
1.25 as a decimal 125% as a percentage 125/100
Hopes this helps
Leeann works 20 hours per week and makes $15 per hour. What is her yearly pay?! SOME ONE PLEASE HELP ME PLATO
(20 hrs/1 wk)*(15 dollars/1 hr) = 20*15 = 300 dollars per week
There are 52 weeks in a year. If Leeann works all 52 weeks (ie no sick days, vacations, etc) then,
(52 weeks/1 yr)*(300 dollars/1 week) = 52*300 = 15600
Her yearly pay is $15,600
Answer:
$15,600
Step-by-step explanation:
Leeann works 20 hours per week and makes $15 per hour
Her weekly income = 20 × 15 = $300
In one year = 52 weeks
Therefore, her yearly pay = 300 × 52
= $15,600
Leeann's yearly pay is $15,600
Please answer! I need it for my Math Homework.
Here are the areas of the 3 separate shapes:
1. 27.5 m^2
2. 25.5 m^2
3. 27.5 m^2
As you can see, the 1st and 3rd shapes share the same total area, so those are the shapes you should select.
after a week of rain, tadpoles apperead in your pond. after t minutes, you have (7t + 5) tadpoles and your friend has (8t - 3) tadpoles. whats the expression me and my friend caught together
Solve for ?
F(x)=3x-1
F(x)+4=?
Answer:
F(x) + 4 = 3x + 3
Step-by-step explanation:
F(x) = 3x - 1 |add 4 to both sides
F(x) + 4 = 3x + 3
A piece of candy weighs 30 grams. All of the candy in a bag weighs 750 grams. How many pieces of candy are in the bag? A) 15 B) 21 C) 25 D) 35
21 (c) pieces of candy
Answer:
c
Step-by-step explanation:
Solve the equation. Check your solution, if possible
[tex]4(3q - 2) = 16q[/tex]
Hey there!!
Given equation :
... 4 ( 3q - 2 ) = 16q
... 12q - 8 = 16q
Subtract by 12q on both sides
... -8 = 4q
Divide by 4 on both sides
... -8 / 4 = q
... q = -2
Given equation :
4 ( 3q - 2 ) = 16q
Substitute the value of -2 in place of q
... 4 ( -6 -2 ) = 16 × -2
... 4 ( -8 ) = -32
... -32 = -32
∴ Hence proved
Hope my answer helps!!